HMH Go Math

Become a master in maths taking the help of Go Math Grade 3 Answer Key Chapter 1 Addition and Subtraction within 1000. Begin your preparation and learn all the fundamental topics in it. Solve all the Problems in Chapter 1 easily from here and understand the concept behind them. Download Go Math Grade 3 Answer Key Chapter 1 Addition and Subtraction within 1,000 free of cost and learn the fundamentals easily.

Go Math Grade 3 Answer Key Chapter 1 Addition and Subtraction within 1,000

You can make the most out of the Grade 3 Go Math Solutions Key Chapter 1 through the quick links available. Simply tap on the topic you want and learn various questions involved in it easily. There are different models in addition and subtraction. We have listed all of them by considering enough examples and explained every problem step by step.

Lesson 1: Number Patterns 

• Lesson 1: Number Patterns – Page 9
• Lesson 1: Number Patterns Lesson Check – Page No 10

Lesson 2: Round to the Nearest Ten

• Lesson 2: Round to the Nearest Ten – Page 15
• Lesson 2: Round to the Nearest Ten Lesson Check – Page No 16

Lesson 3: Estimate Sums

• Lesson 3: Estimate Sums – Page No – 21
• Lesson 3 Estimate Sums Lesson Check – Page No – 22

Lesson 4: Mental Math Strategies for Addition

• Lesson 4: Mental Math Strategies for Addition – Page No – 27
• Lesson 4: Mental Math Strategies for Addition Lesson Check – Page No – 28

Lesson 5: Use Properties to Add

• Lesson 5: Use Properties to Add – Page No 33
• Lesson 5: Use Properties to Add Lesson Check – Page No 34

Lesson 6: Use the Break Apart Strategy to Add

• Lesson 6: Use the Break Apart Strategy to Add – Page No 39
• Lesson 6: Use the Break Apart Strategy to Add Lesson Check – Page No 40

Lesson 7: Use Place Value to Add

• Lesson 7: Use Place Value to Add – Page No 45
• Lesson 7: Use Place Value to Add Lesson Check – Page No 46

Mid Chapter Check Point

• Mid Chapter Check Point – Vocabulary – Page No 47
• Mid Chapter Check Point – Vocabulary Lesson Check – Page No 48

Lesson 8: Estimate Differences

• Lesson 8: Estimate Differences – Page No 53
• Lesson 8: Estimate Differences Lesson Check – Page No 54

Lesson 9: Mental Math Strategies for Subtraction

• Lesson 9: Mental Math Strategies for Subtraction – Page No – 59
• Lesson 9: Mental Math Strategies for Subtraction Lesson Check – Page No – 60

Lesson 10: Use Place Value to Subtract

• Lesson 10: Use Place Value to Subtract – Page No 65
• Lesson 10: Use Place Value to Subtract Lesson Check – Page No 66

Lesson 11: Combine Place Values to Subtract

• Lesson 11: Combine Place Values to Subtract – Page No – 71
• Lesson 11: Combine Place Values to Subtract Lesson Check – Page No 72

Lesson 12: Problem Solving • Model Addition and Subtraction

• Lesson 12: Problem Solving • Model Addition and Subtraction Page No – 77
• Lesson 12: Problem Solving • Model Addition and Subtraction Lesson Check – Page No – 78

Review/Test

• Review/Test – Page No – 79
• Review/Test – Page No – 80
• Review/Test – Page No – 81
• Review/Test – Page No – 82
• Review/Test – Page No – 83
• Review/Test – Page No – 84

Number Patterns – Page No. 9

Find the sum. Then use the Commutative Property of Addition to write the related addition sentence.
Question 1:
9 + 2 =  11 

Answer:

What is the commutative property of addition?
To “commute” means to move around or travel.
According to the commutative property of addition, changing the order of the numbers we are adding, does not change the sum.
if you are adding nine and two together, the commutative property of addition says that you will get the same answer whether you are adding
9 + 2 or 2 + 9.
2 + 9 =  11 

Question 2:
4 + 7 = 
    +      =  11

Answer:

If you are adding four and seven together, the commutative property of addition says that you will get the same answer whether you are adding 4 + 7 or 7 + 4.
4 + 7 =  11
7  +  4  =  11

Question 3:
3 + 6 =
     +      =  11

Answer:

According to the commutative property of addition, changing the order of the numbers we are adding, does not change the sum.
There will be no change in the sum whether you add 3 + 6 or 6 + 3.
3 + 6 =  9
 6  +  3  =  9

Question 4:
3 + 10 =
     +      =  11

Answer:

According to the commutative property of addition, changing the order of the numbers we are adding, does not change the sum.
There will be no change in the sum whether you add 3 + 10 or 10 + 3 = 13.
3 + 10 =  13
 10  +  3  =  13

Question 8:
0 + 4 =
     +      =  4

Answer:

According to the commutative property of addition, changing the order of the numbers we are adding, does not change the sum.
0 + 4 =  4
 4  +  0  =  4

Question 9:
9 + 6 =
     +      =  15

Answer:

According to the commutative property of addition, changing the order of the numbers we are adding, does not change the sum.
There will be no change in the sum whether you add 9 + 6 or 6 + 9 = 15
9 + 6 =  15
 6  +  9  =  15

Is the sum even or odd? Write even or odd.

Even Numbers:

Any integer that can be divided exactly by 2 is an even number. The last digit is 0, 2, 4, 6 or 8
Example: −24, 0, 6 and 38 are all even numbers

Odd Numbers:

Any integer that cannot be divided exactly by 2 is an odd number. The last digit is 1, 3, 5, 7 or 9
Example: −3, 1, 7 and 35 are all odd numbers
Odd numbers are in between the even numbers.

Question 10:
5 + 2

Answer:

The sum of two odd numbers is an odd number.
5 + 2 = 7.
∴ 7 is an odd number.

Question 11:
6 + 4

Answer:

The sum of two even numbers is always an even number.
6 + 4 = 10.
∴ 10 is an even number.

Question 12:
1 + 0

Answer:
The Sum of any number with zero is always the same number.
1 + 0 = 1.
∴ 1 is an odd number.

Question 13:
5 + 5

Answer:
Any integer that can be divided exactly by 2 is an even number.
5 + 5 = 10.
∴ 10 is an even number.

Question 14:
3 + 8

Answer:

The sum of an even and odd number is an odd number.
3 + 8 = 11.
∴ 11 is an odd number.

Question 15:
7 + 7

Answer:

7 + 7 = 14.
∴ 14 is an even number.

Number Patterns Lesson Check Page No 10

Question 1
Marvella says that the sum of her addends is odd. Which of the following could be Marvella’s addiction problem?

Options:
(a) 5 + 3
(b) 9 + 7
(c) 2 + 8
(d) 5 + 6

Answer:

(a) 5 + 3 = 8 (Even Number)
(b) 9 + 7 = 16 (Even Number)
(c) 2 + 8 = 10 (Even Number)
(d) 5 + 6 = 11 (Odd Number)

Option (d) is Correct.

Question 2
Which number sentence shows the Commutative Property of Addition?
3 + 9 = 12

(a) 12 – 9 = 3
(b) 12 = 8 + 4
(c) 9 + 3 = 12
(d) 12 – 3 = 9

Answer:

3 + 9 = 12 and 9 + 3 = 12 are commutative.
Option (c) is correct.

Spiral Review
Question 3
Amber has 2 quarters, a dime, and 3 pennies. How much money does Amber have?

(a) 53 ¢
(b) 58 ¢
(c) 63 ¢
(d) 68 ¢

Answer:

Amber has
2 quarters = 2 x 25 = 50 ¢
1 dime = 10 ¢
3 pennies = 3 ¢
∴ Money does Amber have = 2 quarters + 1 dime + 3 pennies
= 50 ¢ + 10 ¢ + 3 ¢ = 63 ¢
Option (c) is correct.

Question 4
Josh estimates the height of his desk. Which is the best estimate?

(a) 1 foot
(b) 2 feet
(c) 5 feet
(d) 9 feet

Answer:

So, from the given choices, 2 feet or approximately 24 inches would be the most viable answer because most standard desks have a height around 28 inches to 30 inches. 1 foot is too low, while 5 feet and 9 feet are too high. Therefore, 3 to 4 feet would be the most perfect answer but since we have a limited number of options, the nearest reasonable estimate value would be 2 feet. The original numbers from a problem does not exceed in a reasonable estimate.

Option (b) is correct.

Use the bar graph for 5–6.

Question 5
Who read the most books?

(a) Alicia
(b) Bob
(c) Juan
(d) Maria

Answer:

The number of Books Read:
Juan – 6
Bob – 2
Maria – 4
Alicia – 5
Juan Read most books.
Option (c) is correct.

Question 6
Who read 3 more books than Bob?

(a) Alicia
(b) Juan
(c) Maria
(d) no one

Answer:

Alicia read 3 books.
Option (a) is correct.

Lesson 2: Round to the Nearest Ten Page 15

Round to the Nearest Ten or Hundred

Locate and label 739 on the number line.
Round to the nearest hundred.

Question 1

(i) 739 is between __ and __

Answer:

739 is between 700 and 800.

Question 2

739 is closer to       than it is to      .

Answer:

739 is closer to  700 than it is to  800.

Round to the nearest ten and hundred.

Round to the nearest ten

Rounding Numbers to the nearest 10 means finding which 10 they are nearest to. For example, 68 rounded to the nearest 10 is 70.

Rule for rounding to the nearest 10

Look at the number in the one’s place and…

Work through the examples below that show rounding to the nearest 10.

Round to the nearest hundred

Rounding numbers to the nearest 100 means finding which 100 they are nearest to. For example, 680 rounded to the nearest 100 is 700.

Rule for rounding to the nearest 100

Look at the number in the tens’ place and…

Work through the examples below that show rounding to the nearest 100.

Question 3
739 rounded to the nearest hundred is

Answer:

Let’s round 739 to the nearest 100.
The nearest 100’s on both sides of 739 are 700 and 800.
700 is the nearest 100 to 739.
∴ 739 rounded to the nearest hundred is ‘700’

Question 4
363
Round to nearest ten: 
Round to nearest hundred:      

Answer:

(i) Let’s round 363 to the nearest 10.

The nearest 10’s on both sides of 363 are 360 and 370.
360 is the nearest 10 to 363.
∴ 363 rounded to the nearest ten is ‘360’
Round to nearest ten: 360

(ii) Let’s round 363 to the nearest 100.

The nearest 100’s on both sides of 363 are 300 and 400.
400 is the nearest 100 to 363.
∴ 363 rounded to the nearest hundred is ‘400’
Round to nearest hundred: 400

Question 5
829
Round to nearest ten:     
Round to nearest hundred:      

Answer:

(i) Lets round 829 to the nearest 10.
The nearest 10’s on both sides of 829 is 820 and 830.
Round to nearest ten: 830

(ii) Let’s round 829 to the nearest 100
The nearest 100’s on both sides of 829 is 800 and 900.
The number rounded to 829 nearest to 100 is 800.
Round to nearest hundred: 800

Question 6
572
Round to nearest ten:     
Round to nearest hundred:      

Answer:

(i) Lets round 572 to the nearest 10.
The nearest 10’s on both sides of 572 is 560 and 570.
The number rounded to 572 is 570.
Round to nearest ten: 570

(ii) Let’s round 572 to the nearest 100
The nearest 100’s on both sides of 572 is 500 and 600.
The number rounded to 572 nearest to 100
Round to nearest hundred: 600

Question 9
949
Round to nearest ten: 
Round to nearest hundred:      

Answer:

(i) Lets round 949 to the nearest 10.
The nearest 10’s on both sides of 949 is 940 and 950.
Round to nearest ten: 950

(ii) Let’s round 949 to the nearest 100
The nearest 100’s on both sides of 949 are 900 and 1000.
The number rounded to 949 nearest to 100 is 900.
Round to nearest hundred: 900

Question 10
762
Round to nearest ten: 
Round to nearest hundred:      

Answer:

(i) Lets round 762 to the nearest 10.
The nearest 10’s on both sides of 762 is 760 and 770.
Round to nearest ten:  760

(ii) Let’s round 762 to the nearest 100
The nearest 100’s on both sides of 762 are 700 and 800.
The number rounded to 762 nearest to 100 is 800.
Round to nearest hundred:  800 

Question 11
399
Round to nearest ten: 
Round to nearest hundred:      

Answer:

(i) Lets round 399 to the nearest 10.
The nearest 10’s on both sides of 399 is 390 and 400.
Round to nearest ten: 400

(ii) Let’s round 399 to the nearest 100
The nearest 100’s on both sides of 399 are 300 and 400.
The number rounded to 399 nearest to 100 is 400
Round to nearest hundred: 400

Question 12
402
Round to nearest ten: 
Round to nearest hundred:      

Answer:

(i) Lets round 402 to the nearest 10.
The nearest 10’s on both sides of 402 is 400 and 410.
Round to nearest ten: 400

(ii) Let’s round 402 to the nearest 100
The nearest 100’s on both sides of 402 are 400 and 500.
The number rounded to 402 nearest to 100 is 400.
Round to nearest hundred: 400

Problem Solving

Lesson 2: Round to the Nearest Ten Lesson Check Page No 16

Lesson Check

Question 1
One day, 758 people visited the Monkey House at the zoo. What is 758 rounded to the nearest hundred?

(a) 700
(b) 760
(c) 800
(d) 860

Answer:
Let’s round 758 to the nearest hundred.
The nearest hundred on both sides is 700 and 800.
∴ 758 rounded to the nearest hundred is 800.
So, the answer is option C.

Question 2
Sami ordered 132 dresses for her store. What is 132 rounded to the nearest ten?

(a) 100
(b) 130
(c) 140
(d) 200

Answer:
Let’s round 132 to the nearest 10.
The nearest 10’s on both sides of 132 are 130 and 140.
∴ 132 rounded to the nearest ten is ‘130’
132 rounded to the nearest ten: 130
Option B is the correct answer.

Spiral Review
Question 3
Which describes the number sentence?
6 + 0 = 6

(a) Commutative Property of Addition
(b) Identity Property of Addition
(c) even + odd = odd
(d) odd + odd = odd

Answer:
The Identity Property of Zero, also called the Additive Identity Property, states that if you add 0 to any number, the result will be that number. Likewise, if you subtract 0 from any number, the result will be that number.
6 + 0 = 6
∴ Option B is the correct answer.

Question 4
Which has an even sum?

(a) 7 + 4
(b) 2 + 6
(c) 5 + 4
(d) 3 + 2

Answer:
The sum of even numbers is always even.
(a) 7 + 4 = 11 is odd number
(b) 2 + 6 = 8 is even number
(c) 5 + 4 = 9 is odd number
(d) 3 + 2 = 5 is odd number
So, the answer is option (b)

Question 5
What name describes this shape?

(a) cone
(b) cube
(c) rectangle
(d) triangle

Answer: Triangle
∴ Option D is the correct answer.

Question 6
What word describes the equal shares of the shape?

(a) wholes
(b) thirds
(c) halves
(d) fourths

Answer:
The rectangle is divided into 4 equal rectangles.
So, the name for the equal shapes is fourths.
∴ The answer is option D.

Estimate Sums Page No – 21

Compatible Numbers:

Compatible numbers are numbers that are easy to compute mentally and are close to real numbers.

Use rounding or compatible numbers to estimate the sum.

Question 1
198 + 727 =         

Answer:

200 +725 = 925

Explanation:

Step 1:
First round 198 to the nearest hundred.
The number rounded to 198 nearest hundred is 200.
Write zeros for the tens and ones digit.

Step 2:
Write the number closer to 727.
The number closer to 727 is 725.

Step 3:
Now find the sum of the rounded numbers.
200 + 725 = 925

Question 2
87 + 34

Estimate:

         +         =        

Answer: 90 + 30 = 120

Explanation:

Step 1:
First round 87 to the nearest ten.
The number rounded to 87 nearest ten is 90.
Write zeros for the ones digit.

Step 2:
Write the number closer to 34.
The number closer to 34 is 30.

Step 3:
Now find the sum of the rounded numbers.
90 + 30 = 120

Question 3
222 + 203

Estimate:

         +         =        

Answer: 200 +200 = 400

Explanation:

Step 1:
First round 222 to the nearest hundred.
The number rounded to 222 nearest hundred is 200.
Write zeros for the tens and ones digit.

Step 2:
Write the number closer to 203.
The number closer to 203 is 200.

Step 3:
Now find the sum of the rounded numbers.
200 + 200 = 400
The estimated sum of 222 + 203 is 400.

Question 4
52 + 39

Estimate:

         +         =        

Answer: 50 + 40 = 90

Explanation:

Step 1:
First round 52 to the nearest ten.
The number rounded to 52 nearest ten is 50.
Write zeros for the ones digit.

Step 2:
Write the number closer to 39.
The number closer to 39 is 40.

Step 3:
Now find the sum of the rounded numbers.
50 + 40 = 90

Question 7
519 + 124

Estimate:

         +         =        

Answer: 500 + 100 = 600

Explanation:

Step 1:
First round 519 to the nearest hundred.
The number rounded to 519 nearest hundred is 500.
Write zeros for the tens and ones digit.

Step 2:
Write the number closer to 124.
The number closer to 124 is 100.

Step 3:
Now find the sum of the rounded numbers.
500 + 100 = 600
The estimated sum is 600.

Question 8
790 + 112

Estimate:

         +         =        

Answer: 800 + 100 = 900

Explanation:

Step 1:
First round 790 to the nearest hundred.
The number rounded to 790 nearest hundred is 800.
Write zeros for the tens and ones digit.

Step 2:
Write the number closer to 112.
The number closer to 112 is 100.

Step 3:
Now find the sum of the rounded numbers.
800 + 100 = 900
The estimated sum of 790 + 112 is 900.

Question 9
547 + 326

Estimate:

         +         =        

Answer: 550 + 325 = 875

Explanation:

Step 1:
First round 547 to the nearest ten.
The number rounded to 547 nearest ten is 550.
Write zeros for the ones digit.

Step 2:
Write the number closer to 326.
The number closer to 326 is 325.

Step 3:
Now find the sum of the rounded numbers.
550 + 325 = 875

Question 10
325 + 458

Estimate:

         +         =        

Answer: 325 + 500 = 825

Explanation:

First round 458 to the nearest hundred.
The number rounded to 458 nearest hundred is 500.
Write zeros for the tens and ones digit.
Now add 325 and 500,
You get, 325 + 500 = 825

Question 11
620 + 107

Estimate:

         +         =        

Answer: 600 + 100 = 700

Explanation:

The number closer to 620 is 600.
And the number closer to 107 is 100.
600 + 100 = 700
Now the estimated sum of 620 + 107 = 700

Problem Solving

Estimate Sums Lesson Check – Page No – 22

Lesson Check
Question 1
The McBrides drove 317 miles on one day and 289 on the next day. What is the best estimate of the number of miles the McBrides drove in all during the two days?

(a) 100
(b) 400
(c) 500
(d) 600

Answer: 600

Explanation:

The McBrides drove 317 miles on one day and 289 on the next day.
First, round 317 to the nearest hundred.
The number rounded to 317 nearest hundred is 300.
Write zeros for the tens and ones digit.
Next round 289 to the nearest hundred.
The number rounded to 289 nearest hundred is 300.
Write zeros for the tens and ones digit.
300 +300 = 600.
Option D is the correct answer.

Question 2
Ryan counted 63 birds in his backyard last week. This week, he counted 71 birds in his backyard. About how many birds did Ryan count in all?

(a) about 70
(b) about 100
(c) about 130
(d) about 200

Answer: about 130

Explanation:

Ryan counted 63 birds in his backyard last week. This week, he counted 71 birds in his backyard.
The number closer to 63 is 60.
The number closer to 71 is 70.
Now add 60 and 70 we get 130.
Therefore Ryan count about 130 birds.
So, the correct answer is option C.

Spiral Review
Question 3
What name describes this shape?

(a) cone
(b) cube
(c) quadrilateral
(d) square

Answer: cube

A cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.

Question 4
Which has an odd sum?

(a) 9 + 9
(b) 5 + 3
(c) 6 + 7
(d) 2 + 8

Answer: 6 + 7

Explanation:

(a) 9 + 9 = 18 even number
(b) 5 + 3 = 8 even number
(c) 6 + 7 = 13 odd number
(d) 2 + 8 = 10 even number
So, the answer is option C.

Question 5
What is 503 rounded to the nearest hundred?

(a) 500
(b) 510
(c) 600
(d) 610

Answer: 500

The number 503 rounded to the nearest hundred is 500.
So, the correct answer is option A.

Question 6
What is 645 rounded to the nearest ten?

(a) 600
(b) 640
(c) 650
(d) 700

Answer: 650

645 rounded to the nearest ten is 650.
So, the correct answer is option C.

Mental Math Strategies for Addition Page No – 27

Count by tens and ones to find the sum.

Use the number line to show your thinking.

Question 1

Answer: 29 + 14 = 43

Question 2

36 + 28 =

Answer: 36 + 28 = 64

Question 3

45 + 26 =

Answer: 45 + 26 = 71

Question 4

52 + 34 =

Answer: 52 + 34 = 86

Use mental math to find the sum.

Draw or describe the strategy you use.

Question 5
52 + 19 =

Answer: 52 + 19 = 71

I Used friendly numbers.
Subtract 2 from 52.
52 – 2 = 50
Then add 2 to 19.
19 + 2 = 21
Add 50 and 21
50 + 21 = 71

Question 6
122 + 306 =

Answer: 122 + 306 = 428

I Used compatible numbers
122 = 120 + 2
306 = 300 + 6
120 + 300 = 420
2 + 6 = 8
420 + 8 = 428

Problem Solving

Question 7
Shelley spent 17 minutes washing the dishes. She spent 38 minutes cleaning her room. Explain how you can use mental math to find how long Shelley spent on the two tasks

        minutes

Answer: 20 + 35 = 55 minutes

Explanation:

Shelley spent 17 minutes washing the dishes.
She spent 38 minutes cleaning her room.
First, make friendly numbers.
Add 3 to 17 to make it easy for addition
17 + 3 = 20
Next, subtract 3 from 38.
38 – 3 = 35
Now add both, 35 + 20 = 55
Shelly spent 55 minutes on the two tasks.

Question 8
It took Marty 42 minutes to write a book report. Then he spent 18 minutes correcting his report. Explain how you can use mental math to find how long Marty spent on his book report.

        minutes

Answer: 50 + 10 = 60 minutes

Explanation:

It took Marty 42 minutes to write a book report.
Then he spent 18 minutes correcting his report.
Make a friendly number
Subtract 2 from 42
42 – 2 = 40 minutes
Now add 2 to 18 minutes
18 + 2 = 20 minutes
Now add both, 20 + 40 = 60 minutes
Therefore Marty spent 60 minutes on his book report

Mental Math Strategies for Addition Page No – 28

Lesson Check
Question 1
Sylvia spent 36¢ for a pencil and 55¢ for a notepad. Use mental math to find how much she spent in all.

(a) 80¢
(b) 81¢
(c) 90¢
(d) 91¢

Answer: 91¢

Explanation:

Sylvia spent 36¢ for a pencil and 55¢ for a notepad.
Step 1:
Make a friendly number
Add 36¢ and 55¢
36¢ + 55¢ = 91¢
So, the correct answer is option D.

Question 2
Will spent 24 minutes putting together a model plane. Then he spent 48 minutes painting the model. How long did Will spend working on the model plane?

(a) 62 minutes
(b) 68 minutes
(c) 72 minutes
(d) 81 minutes

Answer: 72 minutes

Explanation:

Will spent 24 minutes putting together a model plane. Then he spent 48 minutes painting the model.
Add 24 and 48
24 + 48 = 72 minutes
Option C is the correct answer.

Spiral Review

Question 3
What name describes this shape?

(a) hexagon
(b) pentagon
(c) quadrilateral
(d) triangle

Answer: pentagon

Explanation:

From the figure, we can observe that there are 5 sides. A pentagon is a 5-sided Polygon
So, the correct answer is option B.

Question 4
What word describes the equal shares of the shape?

(a) fourths
(b) halves
(c) sixths
(d) thirds

Answer: fourths

Explanation:

The circle is divided into 4 equal parts. The name for the equal shares of circle is fourths.

Question 5
Tammy wrote an addition problem that has an odd sum. Which could be Tammy’s addition problem?

(a) 2 + 6
(b) 3 + 5
(c) 5 + 6
(d) 7 + 7

Answer: 5 + 6

Explanation:

(a) 2 + 6 = 8 even number
(b) 3 + 5 = 8 even number
(c) 5 + 6 = 11 odd number
(d) 7 + 7 = 14 even number
11 is an odd number. So, the correct answer is option C.

Question 6
Greg counted 83 cars and 38 trucks in the mall parking lot. Which is the best estimate of the total number of cars and trucks Greg counted?

(a) 100
(b) 110
(c) 120
(d) 130

Answer: 120

Explanation:

Greg counted 83 cars and 38 trucks in the mall parking lot.
The number closer to 83 is 80.
And the number closer to 38 is 40.
80 + 40 = 120.
So, the correct answer is option C.

Use Properties to Add Page No 33

Use addition properties and strategies to find the sum.

Question 1

Question 2
27 + 68 + 43 =

Answer: 138

Explanation:

Step 1:
Line up the numbers by place value.
27
68
+43

Step 2:
Group the ones to make them easy to add.
Make a 10
27
68
+43

7 + 3 = 10
1 will be carried to tens place.
8 will be in the ones place.

Step 3:
Group the tens to make them easy to add.
27
68
+43
6 + 4 = 10
10 + 3 = 13

27 + 68 + 43 = 138

Question 3
42 + 36 + 18 =

Answer: 96

Explanation:

Step 1:
Line up the numbers by place value.

42
36
+18

8 + 2 = 10
1 will be carried to the tens place
6 will be in the ones place.

Step 2:
Group the ones to make them easy to add.
Make a 10
42
36
+18

40 + 30 + 10 + 10 = 90

Step 3:
Group the tens to make them easy to add.
90 + 6 = 96

Question 4
74 + 35 + 16 + 45 =

Answer: 170

Explanation:

Step 1:
Line up the numbers by place value.
74
35
16
+45

Step 2:
Group the ones to make them easy to add.
Make a 10
74
35
16
+45

6 + 4 = 10
5 + 5 = 10
10 + 10 = 20
2 will be carried to tens place
0 will be in the ones place.

Step 3:
Group the tens to make them easy to add.
70 + 30 + 10 + 40 +20 = 170

Question 5
41 + 26 + 149 =

Answer: 216

Explanation:

Step 1:
Line up the numbers by place value.

149
41
+26

Step 2:
Group the ones to make them easy to add.
Make a 10

149
41
+26

9 + 1 = 10
1 will be carried to tens place.
6 will be in the ones place.

Step 3:
Group the tens to make them easy to add.
140 + 40 + 20 + 10 = 210
210 + 6 = 216

Question 6
52 + 64 + 28 + 44 =

Answer: 188

Explanation:

Step 1:
Line up the numbers by place value.
52
64
28
+44

Step 2:
Group the ones to make them easy to add.
Make a 10

52
64
28
+44

8 + 2 = 10
4 + 4 = 8
1 will be carried to the tens place.
8 will be in the ones place.

Step 3:
Group the tens to make them easy to add.
50 + 60 + 20 + 40 + 10 = 180
180 + 8 = 188

Problem Solving

Question 8
The pet shelter bought 85 pounds of dog food, 50 pounds of cat food, and 15 pounds of gerbil food. How many pounds of animal food did the pet shelter buy?

        pounds

Answer: 150 pounds

Explanation:

Step 1:
Line up the numbers by place value.

85
50
+15

Step 2:
Group the ones to make them easy to add.
Make a 10

85
50
+15

5 + 5 = 10

Step 3:
Group the tens to make them easy to add.
80 + 50 + 10 + 10 = 150

Use Properties to Add Page No 34

Lesson Check
Question 1
At summer camp there are 52 boys, 47 girls, and 18 adults. How many people are at summer camp?

(a) 97
(b) 107
(c) 117
(d) 127

Answer: 117

Explanation:

At summer camp there are 52 boys, 47 girls, and 18 adults.
57
47
+18

52 + 47 + 18 = 117
Therefore 117 people are at summer camp.
The correct answer is option C.

Question 2
At camp, 32 children are swimming, 25 are fishing, and 28 are canoeing. How many children are swimming, fishing, or canoeing?

(a) 75
(b) 85
(c) 95
(d) 105

Answer: 85

Explanation:

At camp, 32 children are swimming, 25 are fishing, and 28 are canoeing.
32
25
+28

Make a group of 10.

32
25
+28

8 + 2 = 10
1 will be carried to the tens place.
5 will be in the ones place.
30 + 20 + 20 + 10 = 80
80 + 5 = 85
The correct answer is option B.

Spiral Review
Question 3
Four students estimated the width of the door to their classroom. Who made the best estimate?

(a) Ted: 1 foot
(b) Hank: 3 feet
(c) Ann: 10 feet
(d) Maria: 15 feet

Answer: Hank: 3 feet

Question 4
Four students estimated the height of the door to their classroom. Who made the best estimate?

(a) Larry: 1 meter
(b) Garth: 2 meters
(c) Ida: 14 meters
(d) Jill: 20 meters

Answer: Garth: 2 meters

Question 5
Jeff’s dog weighs 76 pounds. What is the dog’s weight rounded to the nearest ten pounds?

(a) 70 pounds
(b) 80 pounds
(c) 90 pounds
(d) 100 pounds

Answer: 80 pounds

Explanation:

Jeff’s dog weighs 76 pounds.
76 rounded to the nearest ten is 80.
The correct answer is option B.

Question 6
Ms. Kirk drove 164 miles in the morning and 219 miles in the afternoon. Which is the best estimate of the total number of miles she drove that day?

(a) 100 miles
(b) 200 miles
(c) 400 miles
(d) 500 miles

Answer: 400 miles

Explanation:

Ms. Kirk drove 164 miles in the morning and 219 miles in the afternoon.
The number closer to 164 is 200.
The number closer to 219 is 200.
Now add the total number of mile
200 + 200 = 400 miles.
The correct answer is option C.

Use the Break Apart Strategy to Add Page No 39

Estimate. Then use the break apart strategy to find the sum.

Question 1

Question 2
518 + 372

Estimate: 900

Sum:
518 = 500 + 10 + 8
+372 = 300 + 70 + 2
890     800 + 80 + 10

Question 3
473 + 123

Estimate: 600

Sum:
473 = 400 + 70 + 3
123 = 100 + 20 + 3
596 = 500 + 90 + 6

Question 4
208 + 569

Estimate: 800

Sum:
208 = 200 + 00 + 8
569 = 500 + 60 + 9
777 = 700 + 70 + 7

Question 5
731 + 207

Estimate: 900

Sum:
731 = 700 + 30 + 1
207 = 200 + 00 + 7
938 = 900 + 30 + 8

Question 6
495 + 254

Estimate: 800

Sum:
495 = 400 + 90 + 5
254 = 200 + 50 + 4
749 = 700 + 40 + 9

Problem Solving
Use the table for 7–8.

Question 7
Laura is making a building using Set A and Set C. How many blocks can she use in her building?

        blocks

Answer: 410 blocks

Add set A and Set C
165 + 245 = 410 blocks

165 = 100 + 60 +5
245 = 200 + 40 + 5
410 = 300 + 100 + 10
She can use 410 blocks in her building.

Question 8
Clark is making a building using Set B and Set C. How many blocks can he use in his building?

        blocks

Answer: 433 blocks

Add Set B and Set C
188 + 245 =

188 = 100 + 80 + 8
245 = 200 + 40 + 5
433 = 300 + 120 + 13
He can use 433 blocks in his building.

Use the Break Apart Strategy to Add Page No 40

Lesson Check
Question 1
Arthur read two books last week. One book has 216 pages. The other book has 327 pages. Altogether, how many pages are in the two books?

(a) 533
(b) 543
(c) 633
(d) 643

Answer: 543

Explanation:

Add 216 and 327
216 = 200 + 10 + 6
327 = 300 + 20 + 7
543 = 500 + 30 + 13

So, the correct answer is option B.

Question 2
One skeleton in a museum has 189 bones. Another skeleton has 232 bones. How many bones in all are in the two skeletons?

(a) 311
(b) 312
(c) 411
(d) 421

Answer: 421

Explanation:

Add 189 and 232
189 = 100 + 80 + 9
232 = 200 + 30 + 2
421 = 300 + 110 + 11
Thus the answer is option D.

Spiral Review
Question 3
Culver has 1 quarter, 3 dimes, and a penny. How much money does he have?

(a) 41¢
(b) 55¢
(c) 56¢
(d) 86¢

Answer: 56¢

Explanation:

1 quarter = $0.25
1 dime = $0.10
3 dimes = $0.10 × 3 = $0.30
1 penny = $0.01
Add $0.25 + $0.30 + $0.01 = $0.56 = 56 cents
Thus the correct answer is option C.

Question 4
Felicia has 34 quarters, 25 dimes, and 36 pennies. How many coins does Felicia have?

(a) 75
(b) 85
(c) 95
(d) 105

Answer: 95

Explanation:

1 quarter = $0.25
34 quarters = $0.25 × 34 = $8.5
25 dimes = $0.10 × 25 = $2.5
36 pennies = $0.01 × 36 = 0.36
Option C is the correct answer.

Question 5
Jonas wrote 9 + 8 = 17. Which number sentence shows the Commutative Property of Addition?

(a) 9 + 0 = 9
(b) 8 + 9 = 17
(c) 17 – 9 = 8
(d) 17 – 8 = 9

Answer: 8 + 9 = 17

According to the commutative property of addition, changing the order of the numbers we are adding, does not change the sum.
So, the correct answer is option B.

Question 6
At Kennedy School there are 37 girls and 36 boys in the third grade. How many students are in the third grade at Kennedy School?

(a) 63
(b) 73
(c) 81
(d) 91

Answer: 73

Explanation:

Given that,
At Kennedy School there are 37 girls and 36 boys in the third grade.
Add number of girls and boys = 37 + 36 = 73
Therefore the correct answer is option B.

Use Place Value to Add Page No 45

Estimate. Then find the sum.

Question 1
Estimate: 600

324 + 285 = 609

324
285
609

Question 2
519  + 347

Estimate: 500 + 300 = 800

Sum: 519 + 347
519
347
866

Question 3
323 + 151

Estimate: 323 + 151 = 325 + 150= 475

Sum:

323
151
474

Question 4
169 + 354

Estimate: 150 + 350 = 500

Sum:

169
354
523

Question 7
275 + 116

Estimate: 275 + 100 = 375

Sum:

275
116
391

Question 8
157 + 141

Estimate: 150 + 150 = 300

Sum:

157
141
298

Question 9
127 + 290

Estimate: 100 + 300 = 400

Sum:

127
290
417

Question 10
258 + 565

Estimate: 250 + 550 = 800

Sum:

258
565
823

Question 11
311 + 298

Estimate: 300 + 300 = 600

Sum:

311
298
609

Question 12
534 + 256

Estimate: 550 + 250 = 800

Sum:

534
256
790

Problem Solving

Lesson Check Page No 46

Question 1
There are 167 students in the third grade. The same number of students is in the fourth grade. How many third graders and fourth graders are there in all?

(a) 224
(b) 234
(c) 324
(d) 334

Answer: 334

Explanation:

Given that there are 167 students in the third grade.
The same number of students is in the fourth grade.
That means there are 167 students in the fourth grade.
To find the total number of students in third grade and fourth grade
You need to add 167 and 167
167 + 167 = 334.
Thus the correct answer is option D.

Question 2
Jamal read a book with 128 pages. Then he read a book with 179 pages. How many pages did Jamal read in all?

(a) 397
(b) 307
(c) 297
(d) 207

Answer: 307

Explanation:

Jamal read a book with 128 pages. Then he read a book with 179 pages.
128 + 179 = 307
So, the answer is option B.

Spiral Review
Question 3
Adam travels 248 miles on Monday. He travels 167 miles on Tuesday. Which is the best estimate for the total number of miles Adam travels?

(a) 200
(b) 300
(c) 400
(d) 500

Answer: 400

Explanation:

Adam travels 248 miles on Monday. He travels 167 miles on Tuesday.
The number closer to 248 is 200
And the number closer to 167 is 200.
200 + 200 = 400
Thus the estimated number of miles Adam travels is 400.

Question 4
Wes made $14, $62, $40, and $36 mowing lawns. How much did he make in all mowing lawns?

(a) $116
(b) $152
(c) $166
(d) $188

Answer: $152

Explanation:

Add
14
62
40
+36
152
Thus the correct answer is option B.

Question 5
There are 24 students in Mrs. Cole’s class and 19 students in Mr. Garmen’s class. How many students in all are in the two classes?

(a) 43
(b) 40
(c) 33
(d) 5

Answer: 43

Add 24 and 19
24 + 19 = 43
Thus the correct answer is option A.

Question 6
There were 475 children at the baseball game on Sunday. What is 475 rounded to the nearest ten?

(a) 400
(b) 470
(c) 480
(d) 500

Answer: 480

Explanation:

There were 475 children at the baseball game on Sunday.
475 rounded to the nearest ten is 480.
So, the answer is option C.

Mid Chapter Check Point – Vocabulary Page No 47

Choose the best term from the box.

Question 1
A ________ is an ordered set of numbers or objects in which the order helps you predict what comes next.

Answer: Pattern is an ordered set of numbers or objects in which the order helps you predict what comes next.

Question 2
The _________ states that when you add zero to any number, the sum is that number.

Answer: Identity property of Addition states that when you add zero to any number, the sum is that number

Concepts and Skills
Is the sum even or odd? Write even or odd.

Question 3
8 + 3

Answer: 8 + 3 = 11 is an odd number.

Question 4
9 + 7

Answer: 9 + 7 = 16 is an even number

Question 5
4 + 6

Answer: 4 + 6 = 10 is an even number

Use rounding or compatible numbers to estimate the sum.

Question 6
56+32

Estimate:

         +         =        

Answer:
The number which is compatible to 56 is 50.
The number compatible to 32 is 25
50
25
75

50 + 25 = 75

Question 7
271+425

Estimate:

         +         =        

Answer:

The number close to 271 is 275
425 will be the same.

275
425
700
425 + 275 = 700

Question 8
328+127

Estimate:

         +         =        

Answer:

The number closer to 328 is 325
The number closer to 127 is 125
325 + 125 = 450

Use mental math to find the sum.

Question 9
46 + 14 =

Answer: 60

Explanation:

Break apart the addends to make them compatible
46 = 40 + 6
14 = 10 + 4
Now add both
40 + 6
10 + 4
50 + 10 = 60
46 + 14 = 60

Estimate. Then find the sum.

Question 12
356+442
Estimate: 800
Sum: 798

Answer:

356
442
798
The sum of 356 and 442 is 798
The number close to 798 is 800.
Therefore the estimated sum is 800.

Question 13
164+230
Estimate: 400
Sum: 394

Answer:

230
164
394

The sum of 230 and 164 is 394
The number 394 rounded to the nearest hundred is 400.
Thus the estimated sum is 400.

Question 14
545+139
Estimate: 700
Sum: 684

Answer:

545
139
684

The sum of 545 and 139 is 684.
684 rounded to the nearest hundred is 700.
So, the estimated difference is 700.

Question 15
437+184
Estimate: 600
Sum: 621

Answer:

437
184
621

The sum of 437 and 184 is 621
621 rounded to the nearest hundred is 600.
The estimated sum is 600.

Mid Chapter Check Point – Vocabulary Page No 48

Question 16
Nancy planted 77 daisies, 48 roses, and 39 tulips. About how many roses and tulips did she plant?

about         roses and tulips

Answer: 90 roses and tulips

Explanation:

Given that, Nancy planted 77 daisies, 48 roses, and 39 tulips.
To know how many roses and tulips did she plant
We have to add a number of roses and a number of tulips.
48 and 39.
The number closer to 48 is 50.
And the number closer to 39 is 40.
So, the estimated sum is 90.

Question 19
Monday’s art group made 25 paper models. Tuesday’s group made 32 paper models. Wednesday’s group made 15 paper models. How many paper models did the groups make?

        paper models

Answer: 72 paper models

Explanation:

Monday’s art group made 25 paper models.
Tuesday’s group made 32 paper models.
Wednesday’s group made 15 paper models.
Add 25, 32 and 15
25
32
15
72

Estimate Differences Page No 53

Use rounding or compatible numbers to estimate the difference.

Question 1
40 – 13 = 
40 – 10
Estimate: 30

Question 2
762 – 332

Estimate:

         –          =        

Estimate: 500

The number closer to 762 is 800
The number closer to 332 is 300
The difference between 800 and 300 is 500

Question 3
823 – 242

Estimate:

         –          =        

Estimate: 550

The number 823 rounded to the nearest hundred is 800.
The number closer to 242 is 250
800
-250
550

Question 4
98 – 49

Estimate:

         –          =        

Estimate: 50

The number closer to 98 is 100
The round number of 49 is 50.
100
-50
50

Question 7
68 – 31

Estimate:

         –          =        

Estimate: 40
The round number of 68 is 70
The number closer to 31 is 30
70
-30
40

Question 8
476 – 155

Estimate:

         –          =        

Estimate: 325

The number closer to 476 is 475
The number closer to 155 is 150
475
-150
325

Question 9
622 – 307

Estimate:

         –          =        

Estimate: 300

622 nearest to the hundred is 600
307 nearest to the hundred is 300
600
-300
300

Question 10
771 – 531

Estimate:

         +         =        

Estimate: 225

The number closer to 771 is 775
531 nearest to ten is 550
775
550
225

Question 11
299 – 61

Estimate:

         +         =        

Estimate: 240

The number closer to 299 is 300
The number closer to 61 is 60
300
-60
240

Problem Solving

Lesson Check Page No 54

Question 1
Jorge has 708 baseball cards and 394 basketball cards. About how many more baseball cards than basketball cards does Jorge have?

(a) about 200
(b) about 300
(c) about 400
(d) about 500

Answer: about 300

Explanation:

Jorge has 708 baseball cards and 394 basketball cards.
The number closer to 708 is 700.
The number closer to 394 is 400
700
-400
300
So, the correct answer is option A.

Question 2
Danika is making necklaces. She has 512 silver beads and 278 blue beads. About how many more silver than blue beads does Danika have?

(a) about 200
(b) about 300
(c) about 400
(d) about 800

Answer: about 200

Explanation:

Danika is making necklaces. She has 512 silver beads and 278 blue beads.
The number closer to 512 is 500
278 to the nearest hundred is 300
The difference between 500 and 300 is 200.
Therefore Danika has about 200 more silver than blue beads.
So, the correct answer is option A.

Spiral Review
Question 3
A store manager ordered 402 baseball caps and 122 ski caps. Which is the best estimate of the total number of caps the manager ordered?

(a) 300
(b) 500
(c) 600
(d) 700

Answer: 500

Explanation:

A store manager ordered 402 baseball caps and 122 ski caps.
To find the best estimate of the total number of caps the manager ordered
We have to add baseball caps and ski caps.
The number closer to 402 is 400
The number closer to 122 is 100.
400 + 100 = 500
So, the correct answer is option B.

Question 4
Autumn collected 129 seashells at the beach. What is 129 rounded to the nearest ten?

(a) 100
(b) 120
(c) 130
(d) 200

Answer: 130

Explanation:

Autumn collected 129 seashells at the beach.
129 rounded to the nearest ten is 130
So, the correct answer is option C.

Question 5
Find the sum.

585 + 346

(a) 239
(b) 821
(c) 900
(d) 931

Answer: 931

585
+346
931
The correct answer is option D.

Question 6
Julie made $22, $55, $38, and $25 babysitting. How much did she make in all babysitting?

(a) $102
(b) $115
(c) $140
(d) $165

Answer: $140

Explanation:

Julie made $22, $55, $38, and $25 babysitting.
Put all the numbers in the order
22
55
38
+25
140
So, the correct answer is option C.

Mental Math Strategies for Subtraction Page No – 59

Use mental math to find the difference.
Draw or describe the strategy you use.
Question 1:
74 – 39 = 35

Question 2
93 – 28 =

Answer: 65

I use friendly numbers.
Add 2 to the 93.
93 + 2 = 95
Add 2 to 28
28 + 2 = 30
95 – 30 = 65

Question 3
51 – 9 =

Answer: 42
I used friendly numbers to subtract 9 from 51.
Now add 1 to 9
9 + 1 = 10
Now subtract 10 from 51
51 – 10 = 41
Now add 1 to 41
41 + 1 = 42

Question 6
285 – 99 =

Answer:

I used friendly numbers.
The number close to 99 is 100
285 – 100 = 185
Now add 1 to 185
185 + 1 = 186
285 – 99 = 186

Problem Solving

Question 7
Ruby has 78 books. Thirty-one of the books are on shelves. The rest are still packed in boxes. How many of Ruby’s books are still in boxes?

        books

Answer: 47 books

Explanation:

Ruby has 78 books. Thirty-one of the books are on shelves. The rest are still packed in boxes.
To know the remaining books in the boxes.
Subtract 31 from 78.
78 – 31
70 – 30 = 40
8 – 1 = 7
40 + 7 = 47 books
Therefore 47 of Ruby’s books are still in boxes.

Question 8
Kyle has 130 pins in his collection. He has 76 of the pins displayed on his wall. The rest are in a drawer. How many of Kyle’s pins are in a drawer?

        pins

Answer: 54 pins

Explanation:

Kyle has 130 pins in his collection.
He has 76 of the pins displayed on his wall. The rest are in a drawer.
130 – 76 = 54
Thus there are 54 pins in a drawer.

Lesson Check Page No – 60

Question 1
One day, a baker made 54 fruit pies. At the end of the day, only 9 of the pies were NOT sold. How many pies were sold that day?

(a) 43
(b) 45
(c) 63
(d) 65

Answer: 45

Explanation:

Given,
One day, a baker made 54 fruit pies.
At the end of the day, only 9 of the pies were NOT sold.
Number of pies sold that day = x
x + 9 = 54
x = 54 – 9 = 45
x = 45
Therefore the number of pies sold that day = 45
So, the correct answer is option B.

Question 2
George’s father bought a 50-pound bag of wild bird seed. At the end of two weeks, 36 pounds of seed were left in the bag. How many pounds of seed had been used?

(a) 14 pounds
(b) 24 pounds
(c) 26 pounds
(d) 86 pounds

Answer: 14 pounds

Explanation:

George’s father bought a 50-pound bag of wild bird seed.
At the end of two weeks, 36 pounds of seed were left in the bag.
Number of pounds used = x
x + 36 = 50
x = 50 – 36
x = 14
Therefore George’s father used 14 pounds.
The correct answer is option A.

Spiral Review
Question 3
For a party, Shaun blew up 36 red balloons, 28 white balloons, and 24 blue balloons. How many balloons did he blow up in all?

(a) 78
(b) 81
(c) 87
(d) 88

Answer: 88

Explanation:

For a party, Shaun blew up 36 red balloons, 28 white balloons, and 24 blue balloons.
Total number of balloons = 36 + 28 + 24
36
28
+24
88
So, the answer is option D.

Question 4
Tiffany has read 115 pages of her book. She has 152 pages left to read. How many pages are in the book?

(a) 37
(b) 267
(c) 277
(d) 367

Answer: 267

Explanation:;

Tiffany has read 115 pages of her book.
She has 152 pages left to read.
Total number of pages = 152 + 115
152
+115
267

Question 5
The flower shop had 568 flowers on Monday. By Tuesday, the shop had 159 flowers left. About how many flowers had been sold?

(a) about 200
(b) about 300
(c) about 400
(d) about 500

Answer: about 400

Explanation:

The flower shop had 568 flowers on Monday.
By Tuesday, the shop had 159 flowers left.
The number closer to 568 is 600.
The number closer to 159 is 200
Subtract 200 from 600.
600 – 200 = 400
The correct answer is option C.

Question 6
There are 383 books in one section of the school library. Of the books, 165 are fiction books. Which is the best estimate of the number of books in that section that are NOT fiction?

(a) about 200
(b) about 300
(c) about 400
(d) about 500

Answer: about 200

Explanation:

There are 383 books in one section of the school library.
Of the books, 165 are fiction books.
383 to the nearest hundred is 400.
165 to the nearest hundred is 200
400 – 200 = 200
So, the correct answer is option A.

Use Place Value to Subtract Page No 65

Estimate. Then find the difference.

Question 1
Estimate: 500

585 – 119

Subtract 119 from 585

585
119
466
585 – 119 = 466

Question 2
738 – 227

Estimate: 500

Difference: 511

Subtract 227 from 738
738
227
511
The estimated difference of 511 is 500.
738 – 227 = 511

Question 3
651 – 376
Estimate: 300
Difference: 275

Subtract 376 from 651
651
376
275
651 – 376 = 275
The estimated difference is 300

Question 4
815 – 281
Estimate: 500 
Difference: 534

Subtract 281 from 815

815
281
534
815 – 281 = 534
The estimated difference is 500

Question 5
487 – 290

Estimate: 200
Difference: 197

487
290
197
487 – 290 = 197
The estimated difference is 200.

Question 6
936 – 329

Estimate: 600
Difference: 607

936
329
607
936 – 329 = 607
The estimated difference is 600.

Question 7
270 – 128

Estimate: 140
Difference: 142

Subtract 128 from 270
270
128
142
270 – 128 = 142
The estimated difference is 140.

Question 8
364 – 177

Estimate: 200
Difference: 187

Subtract 177 from 364
364
177
187
364 – 177 = 187
The estimated difference is 200.

Question 9
627 – 253

Estimate: 400
Difference: 374

Subtract 253 from 627
627
253
374
627 – 253 = 374
The estimated difference is 374

Question 10
862 – 419

Estimate: 450
Difference: 443

Subtract 419 from 862
862
419
443
862 – 419 = 443
The estimated difference is 450.

Question 11
726 – 148

Estimate: 550
Difference: 578

Subtract 148 from 726
726
148
578
726 – 148 = 578
The estimated difference is 550.

Question 12
543 – 358

Estimate: 200
Difference: 185

Subtract 358 from 543
543
358
185
543 – 358 = 185
The estimated difference is 200.

Problem Solving

Use Place Value to Subtract Page No 66

Question 1
On Saturday, 453 people go to a school play. On Sunday, 294 people go to the play. How many more people go to the play on Saturday?

(a) 159
(b) 169
(c) 259
(d) 747

Answer: 159

Explanation:

On Saturday, 453 people go to a school play. On Sunday, 294 people go to the play.
To find how many more people go to the play on Saturday
We need to subtract number of people go to the play on Sunday from the number of people go to the play on Saturday
= 453 – 294 = 159
159 more people go to the play on Saturday.
Thus the correct answer is option A.

Question 2
Corey has 510 marbles. He fills one jar with 165 marbles. How many of Corey’s marbles are NOT in the jar?

(a) 675
(b) 455
(c) 350
(d) 345

Answer: 345

Explanation:

Corey has 510 marbles.
He fills one jar with 165 marbles.
Let the number of Corey’s marbles are NOT in the jar be x
x + 165 = 510
x = 510 – 165
x = 345
Therefore 345 marbles are NOT in the jar.
The correct answer is option D.

Spiral Review
Question 3
Pattie brought 64 peppers to sell at the farmers’ market. There were 12 peppers left at the end of the day. How many peppers did Pattie sell?

(a) 50
(b) 52
(c) 62
(d) 78

Answer: 52

Explanation:

Pattie brought 64 peppers to sell at the farmers’ market.
There were 12 peppers left at the end of the day.
To find number of peppers did Pattie sell
Subtract 12 from 64
64 – 12 = 52
The correct answer is option B.

Question 4
An airplane flies 617 miles in the morning. Then it flies 385 miles in the afternoon. About how many more miles does the airplane fly in the morning?

(a) about 100 miles
(b) about 200 miles
(c) about 300 miles
(d) about 900 miles

Answer: about 200 miles

Explanation:

An airplane flies 617 miles in the morning.
Then it flies 385 miles in the afternoon.
Here we have to use the concept of estimated difference.
The number closer to 617 is 600
The number closer to 385 is 400
600 – 400 = 200
About 200 miles airplane fly in the morning.
So, the correct answer is option B.

Question 5
What is the unknown number?

(■ + 4) + 59 = 70

(a) 4
(b) 6
(c) 7
(d) 8

Answer: 7

Explanation:

Let ■ be the unknown number
(■ + 4) + 59 = 70
(■ + 4) = 70 – 59
(■ + 4) = 11
(■ = 11 – 4
■ = 7
Thus the correct answer is option C.

Question 6
Dexter has 128 shells. He needs 283 more shells for his art project. How many shells will Dexter use for his art project?

(a) 155
(b) 165
(c) 401
(d) 411

Answer: 411

Explanation:

Dexter has 128 shells. He needs 283 more shells for his art project.
To know the total number of shells that Dexter used for his art project
you need to add 128 and 283
283 + 128 = 411
So, the correct answer is option D.

Combine Place Values to Subtract Page No – 71

Estimate. Then find the difference.

Question 1
Estimate: 200

476 – 269

476
-269
207
The estimated difference is 200.

Question 2
615 – 342

Estimate: 300
Difference: 273

615
-342
273
The difference between 615 and 342 is 273
The estimated difference is 300.

Question 3
508 – 113

Estimate: 400
Difference: 395

508
-113
395
The difference between 508 and 113 is 395
The estimated difference is 400

Question 4
716 – 229

Estimate: 500
Difference: 487

716
229
487
The number closer to 487 is 500.
The difference is 487.

Question 5
700 – 326

Estimate: 400
Difference: 374

700
326
374
The number closer to 374 is 400.
The difference is 374.

Question 6
325 – 179

Estimate: 100
Difference: 146

325
179
146
The number closer to 146 is 100
The difference is 146.

Question 7
935 – 813

Estimate: 100
Difference: 122

935
813
122
The number closer to 122 is 100.
The difference is 122.

Question 8
358 – 292

Estimate: 50
Difference: 66

358
292
66
The number closer to 66 is 50.
The difference is 66.

Question 9
826 – 617

Estimate: 200
Difference: 209

826
617
209
The number closer to 209 is 200.
The difference is 209.

Question 10
900 – 158

Estimate: 750
Difference: 742

900
158
742
The number closer to 742 is 750.
The difference is 742

Question 11
607 – 568

Estimate: 40
Difference: 39

607
568
39
The number closer to 39 is 40.
The difference is 40.

Question 12
973 – 869

Estimate: 100

Difference: 104

973
869
104
The number closer to 104 is 100.
The difference is 104.

Problem Solving

Lesson 11: Combine Place Values to Subtract Page No 72

Question 1
A television program lasts for 120 minutes. Of that time, 36 minutes are taken up by commercials. What is the length of the actual program without the commercials?

(a) 84 minutes
(b) 94 minutes
(c) 104 minutes
(d) 156 minutes

Answer: 84 minutes

Explanation:

A television program lasts for 120 minutes.
Of that time, 36 minutes are taken up by commercials.
To find the length of the actual program without the commercials
Subtract 36 minutes from 120 minutes
120
-36
84
Thus the length of the actual program without the commercials is 84 minutes.
The correct answer is option A.

Question 2
Syd spent 215 minutes at the library. Of that time, he spent 120 minutes on the computer. How much of his time at the library did Sid NOT spend on the computer?

(a) 85 minutes
(b) 95 minutes
(c) 105 minutes
(d) 335 minutes

Answer: 95 minutes

Explanation:

Syd spent 215 minutes at the library.
Of that time, he spent 120 minutes on the computer.
To find How much of his time at the library did Sid NOT spend on the computer
We have to subtract the time he spent on the computer from the total time he spent at the library.
i.e., 215 – 120 = 95 minutes
So, the correct answer is option B.

Spiral Review
Question 3
Xavier’s older brother has 568 songs on his music player. To the nearest hundred, about how many songs are on the music player?

(a) 500
(b) 600
(c) 700
(d) 800

Answer: 600

Explanation:

Xavier’s older brother has 568 songs on his music player.
568 to the nearest hundred is 600.
Thus the correct answer is option B.

Question 4
The students traveled to the zoo in 3 buses. One bus had 47 students. The second bus had 38 students. The third bus had 43 students. How many students in all were on the three buses?

(a) 108
(b) 118
(c) 128
(d) 138

Answer: 128

Explanation:

The students traveled to the zoo in 3 buses.
One bus had 47 students.
The second bus had 38 students.
The third bus had 43 students.
Total number of students in all three buses = x
x = 47 + 38 + 43
x = 128 students.
So, the correct answer is option C.

Question 5
Callie has 83 postcards in her collection. Of the postcards, 24 are from Canada. The rest of the postcards are from the United States. How many of the postcards are from the United States?

(a) 58
(b) 59
(c) 61
(d) 69

Answer: 59

Explanation:

Callie has 83 postcards in her collection.
Of the postcards, 24 are from Canada.
The rest of the postcards are from the United States.
Subtract 24 from 83 we get the number of postcards is from the United States.
83 – 24 = 59
So, the correct answer is option B.

Question 6
There were 475 seats set up for the school play. At one performance, 189 of the seats were empty. How many seats were filled at that performance?

(a) 286
(b) 296
(c) 314
(d) 396

Answer: 286

Explanation:

There were 475 seats set up for the school play.
At one performance, 189 of the seats were empty.
Let the Number of seats were filled at that performance = x
x + 189 = 475
x = 475 – 189
x = 286
Thus the correct answer is option A.

Problem Solving • Model Addition and Subtraction Page No – 77

Use the bar model to solve the problem.

Question 1
Elena went bowling. Elena’s score in the first game was 127. She scored 16 more points in the second game than in the first game. What was her total score?

Question 2
Mike’s Music sold 287 CDs on the first day of a 2-day sale. The store sold 96 more CDs on the second day than on the first day. How many CDs in all were sold during the 2-day sale?

      CDs

Answer: 670 CDs

Explanation:

Mike’s Music sold 287 CDs on the first day of a 2-day sale.
The store sold 96 more CDs on the second day than on the first day.
The means Mike’s music sold CDs on the second day = 287 + 96 = 383.
★ = 283 CDs
Total CDs were sold during the 2-day sale = 383 + 287
♦ = 383 + 287 = 670 CDs

Lesson Check Page No – 78

Question 1
Ms. Hinely picked 46 tomatoes from her garden on Friday. On Saturday, she picked 17 tomatoes. How many tomatoes did she pick in all?

(a) 109
(b) 63
(c) 53
(d) 29

Answer: 63

Explanation:

Ms. Hinely picked 46 tomatoes from her garden on Friday.
On Saturday, she picked 17 tomatoes.
First, find how many tomatoes did she pick in all.
46 + 17 = ★
★ = 63
So, the correct answer is option B.

Question 2
Rosa read 57 pages of a book in the morning. She read 13 fewer pages in the afternoon. How many pages did Rosa read in the afternoon?

(a) 44
(b) 60
(c) 70
(d) 83

Answer: 44

Explanation:

Rosa read 57 pages of a book in the morning.
She read 13 fewer pages in the afternoon.
57 – 13 = ♦
♦ = 57 – 13
♦ = 44
Thus the correct answer is option A.

Spiral Review
Question 3
Mike has 57 action figures. Alex has 186 action figures. Which is the best estimate of the number of action figures Mike and Alex have altogether?

(a) 150
(b) 250
(c) 350
(d) 400

Answer: 250

Explanation:

Mike has 57 action figures.
Alex has 186 action figures.
186 – 57 = ★
★ = 186 – 57
★ = 129
Now Add Mike and Alex action figures
♦ = 186 + 57 = 243
The estimated figure of 243 is 250.
Thus the correct answer is option B.

Question 4
There are 500 sheets of paper in the pack Hannah bought. She has used 137 sheets already. How many sheets of paper does Hannah have left?

(a) 363
(b) 463
(c) 400
(d) 637

Answer: 363

Explanation:

There are 500 sheets of paper in the pack Hannah bought. She has used 137 sheets already.
To find how many sheets of paper does Hannah have left
We have to subtract the number of sheets used from the total number of sheets.
500 – 137 = ★
★ = 500 – 137
★ = 363
Therefore 343 sheets are left.
The correct answer is option A.

Question 5
There were 378 visitors to the science museum on Friday. There were 409 visitors on Saturday. How many more people visited the museum on Saturday?

(a) 25
(b) 31
(c) 171
(d) 787

Answer: 31

Explanation:

There were 378 visitors to the science museum on Friday.
There were 409 visitors on Saturday.
To find how many more people visited the museum on Saturday.
Subtract the number of visitors on Friday from the number of visitors on Saturday.
409 – 378 = 31
31 people visited more the museum on Saturday.
So the correct answer is option B.

Question 6
Ravi scores 247 points in a video game. How many more points does he need to score a total of 650?

(a) 897
(b) 430
(c) 417
(d) 403

Answer: 403

Explanation:

Ravi scores 247 points in a video game.
Let x be the points he needs to score a total of 650
x + 247 = 650
x = 650 – 247
x = 403
Thus he needs 403 points to make a score of 650.
The correct answer is option D.

Review/Test – Page No 79

Question 1

For numbers 1a–1d, choose Yes or No to tell whether the sum is even.

a. 5 + 8

(a) yes
(b) no

Answer: No

Explanation:

5 + 8 = 13 is an odd number.
So, the answer is no.

Question 1
b. 9 + 3

(a) yes
(b) no

Answer: Yes

Explanation:

9 + 3 = 12 is an even number.
So, the answer is yes.

Question 1
c. 6 + 7

(a) yes
(b) no

Answer: No

Explanation:

6 + 7 = 13 is an odd number.
So, the answer is no.

Question 1
d. 9 + 5

(a) yes
(b) no

Answer: Yes

Explanation:

9 + 5 = 14 is an even number.
So, the answer is yes.

Question 2
Select the number sentences that show the Commutative Property of Addition. Mark all that apply.

(a) 14 + 8 = 22
(b) 8 + 14 = 14 + 8
(c) 8 + (13 + 1) = (8 + 13) + 1
(d) (5 + 9) + 8 = (9 + 5) + 8

Answer: 8 + 14 = 14 + 8

Explanation:

According to the commutative property of addition, changing the order of the numbers we are adding, does not change the sum.
So, the answer is option B.

Question 3
Select the numbers that round to 300 when rounded to the nearest hundred. Mark all that apply.

(a) 238
(b) 250
(c) 283
(d) 342
(e) 359

Answer: 283

Explanation:
283 rounded to the nearest hundred is 300.
So, the correct answer is option C.

Question 4
There are 486 books in the classroom library. Complete the chart to show 486 rounded to the nearest 10.

Answer:

Hundreds	Tens	Ones
400	90	0

486 rounded to the nearest ten is 490.

Review/Test – Page No – 80

Question 5
Write each number sentence in the box below the better estimate of the sum.

393+225=■ 481+215=■

352+328=■ 309+335=■

Answer:

600	700
393+225 = 618 The estimated sum is 600.309+335= 644 The estimated sum is 600.	481+215= 696 The estimated sum is 700.352+328= 680 The estimated sum is 700.

Explanation:

393+225=■
■ = 618
The number closer to 618 is 600

481+215=■
■ = 696
The number closer to 696 is 700

352+328=■
■ = 680
The number closer to 680 is 700.

309+335=■
■ = 644
The number closer to 644 is 600.

Question 7
The table shows how many books each class read.

For numbers 7a–7d, select True or False for each statement.

a. Ms. Martin’s class read about 100 more books than Mr. Lopez’s class.

(i) True
(ii) False

Answer: True

Explanation:

Number of books that Mr. Lopez’s class read = 273
Number of books that Ms. Martin’s class read = 402
402
– 273
129
So, the statement Ms. Martin’s class read about 100 more books than Mr. Lopez’s class is true.

Question 7
b. The 3 classes read over 900 books altogether.

(i) True
(ii) False

Answer: True

Explanation:

Number of books that Mr. Lopez’s class read = 273
Number of books that Ms. Martin’s class read = 402
Number of books that Mrs. Wang read = 247
273
402
274
949
Therefore the statement the 3 classes read over 900 books altogether is true.

Question 7
c. Mrs. Wang’s class read about 50 fewer books than Mr. Lopez’s class.

(i) True
(ii) False

Answer: False

Explanation:

Number of books that Mrs. Wang read = 247
Number of books that Mr. Lopez’s class read = 273
273
– 247
26
Thus the statement Mrs. Wang’s class read about 50 fewer books than Mr. Lopez’s class is false.

Question 7
d. Ms. Martin’s and Mrs. Wang’s class read about 700 books.

(i) True
(ii) False

Answer: False

Explanation:

Number of books that Ms. Martin’s class read = 402
Number of books that Mrs. Wang read = 247
402
247
649
Therefore the statement Ms. Martin’s and Mrs. Wang’s class read about 700 books is false.

Review/Test – Page No – 81

Question 9
Choose the property that makes the statement true.

The Property of addition states that you can group addends in different ways and get the same sum.

Answer: The Associative Property of addition states that you can group addends in different ways and get the same sum.

Use the table for 10–12.

Question 10
The table shows the number of sweaters sold online in three months. How many sweaters were sold in January and February?

        sweaters

Answer: 700 sweaters

Explanation:

The number of sweets sold in the month of January = 402
The number of sweets sold in the month of February = 298
First, make the friendly numbers to make the addition easy.|
Subtract 2 from 402 = 402 – 2 = 400
Next add 2 to 298 = 298 + 2 = 300
Now add both
400 + 300 = 700
Therefore 700 sweaters were sold in January and February.

Question 11
How many more sweaters were sold in January than March?

        sweaters

Answer: 231 sweaters

Explanation:

The number of sweets sold in the month of January = 402
The number of sweets sold in the month of March = 171
To find how many more sweaters were sold in January than March, we have subtracted the number of sweaters sold in the march from January
402 – 171 = 231
231 more sweaters were sold in January than March.

Question 12

How many more sweaters were sold in February and March than in January?

        sweaters

Answer: 67 sweaters

Explanation:

The number of sweets sold in the month of January = 402
The number of sweets sold in the month of February = 298
The number of sweets sold in the month of March = 171
Total number of sweaters sold in February and March = 298 + 171 = 469
Now subtract 402 from 469
469 – 402 = 67 sweaters
67 more sweaters were sold in February and March than in January.

Review/Test – Page No – 82

Question 13
Help Dana find the sum.

346 + 421 + 152
For numbers 13a–13d, select Yes or No to tell Dana when to regroup.

a. Regroup the ones.

(a) yes
(b) no

Answer: Yes

Question 13
b. Add the regrouped ten.

(a) yes
(b) no

Answer: No

Question 13
c. Regroup the tens.

(a) yes
(b) no

Answer: Yes

Question 13
d. Add the regrouped hundred.

(a) yes
(b) no

Answer: Yes

Question 14
Alexandra has 78 emails in her inbox. She deletes 47 emails. How many emails are left in her inbox? Draw jumps and label the number line to show your thinking.

        emails

Answer: 31 emails

Explanation:

Alexandra has 78 emails in her inbox.
She deletes 47 emails.
Let x be the number of emails left in her inbox
x + 47 = 78
x = 78 – 47
x = 31
Therefore, 31 emails are left in her inbox.

Review/Test – Page No – 83

Question 16
Luke solves this problem. He says the difference is 214. Explain the mistake Luke made. What is the correct difference?

352−148 =        

Answer: 204

Explanation:

Make friendly numbers to make the subtraction easy.
First subtract 2 from 352 = 350
350
148
202
1 will be borrowed from tens place. So 0 becomes 10.
10 – 8 = 2
4 – 4 = 0
300 – 100 = 200
200 + 2 = 202
Now add 2 to 202 you get 204.

Question 18
There are 318 fiction books in the class library. The number of nonfiction books is 47 less than the number of fiction books.

Part A

About how many nonfiction books are there in the class library? Explain.

About         nonfiction books

Answer: About 270 nonfiction books

Explanation:

Given that,
There are 318 fiction books in the class library.
The number of nonfiction books is 47 less than the number of fiction books.
Number of non fictions books = x
x + 47 = 318
x = 318 – 47
x = 271
The number closer to 271 is 270.
So, there are about 270 nonfiction books.

Question 18
Part B

How many fiction and nonfiction books are there in the class library altogether? Show your work.

        total books

Answer: 589

Explanation:

Number of fiction books = 318
Number of nonfiction books = 271
To find the total number of books we need to add both fiction and nonfiction books
= 318 + 271 = 589
There are 589 books in the class library.

Review/Test – Page No – 84

Question 19
Alia used 67 + 38 = 105 to check her subtraction. Which math problem could she be checking? Mark all that apply.

67−38=■
105−67=■
105+38=■
105−38=■

Answer: 105−67= 38; 105−38=67
She can use option B and Option D to check her subtraction.

Question 20
Alex and Erika collect shells. The tables show the kinds of shells they collected.

Part A

Who collected more shells? How many did she collect? About how many more is that? Explain how you solved the problem.

       

Answer: Alex

Alxe’s Shells:
Number of Scallop = 36
Number of Jingle shells = 95
Number of Clam = 115
Now add all the three shells = 36 + 95 + 115 = 246 shells

Erika’s shells:

Number of Scallop = 82
Number of Whelk shells = 28
Number of Clam = 108
Now add all the three shells = 82 + 28 + 108 = 218 shells
Alex collected about 250 shells.

Question 20
Part B

Alex and Erika have the greatest number of what kind of shell? How many shells of that kind do they have? Show your work.

Answer: Clam

The greatest number of shells that Alex and Erika collected are Clam.

Conclusion

In addition to the exercise and homework problems we also provide the solutions for the Extra Practice. So, the students are advised to go through the Go Math Answer Key Grade 3 Chapter 1 Addition and Subtraction within 1,000 Extra Practice to test your math skills in this chapter. You can also your friends to improve their math skills by sharing this link.

Are you looking everywhere to find Go Math Grade 3 Answer Key Chapter 2 Represent and Interpret Data? You have come the right way and we have covered different questions on the topic Represent and Interpret Data. Enhance your subject knowledge by taking the help of the 3rd Grade Go Math Chapter 2 Answer Key. Practice HMH Go Math Grade 3 Answer Key Chapter 2 Represent and Interpret Data and answer the questions from the chapter with confidence. The detailed explanation provided helps you understand the topics easily.

Go Math Grade 3 Answer Key Chapter 2 Represent and Interpret Data

We advise you to go through the topics in the Chapter Represent and Interpret Data. You need to work hard right from the beginning in order to have strong fundamentals. Become champ in the subject by referring to our Go Math 3rd Grade Solution Key. Assess your preparation standard by solving the 3rd Grade Go Math Answer Key Chapter 2 Represent and Interpret Data on your own and then verify with the solutions.

Lesson 1: Problem Solving • Organize Data

• Organize Data Page No 91
• Organize Data Lesson Check Page No 92

Lesson 2: Use Picture Graphs

• Use Picture Graphs Page No 97
• Use Picture Graphs Lesson Check Page No 98

Lesson 3: Make Picture Graphs

• Make Picture Graphs Page No 103
• Make Picture Graphs Lesson Check Page No 104

Mid-Chapter Checkpoint

• Mid-Chapter Checkpoint Page No 105
• Mid-Chapter Checkpoint Lesson Check Page No 106

Lesson 4: Use Bar Graphs

• Use Bar Graphs Page No 111
• Use Bar Graphs Lesson Check Page No 112

Lesson 5: Make Bar Graphs

• Make Bar Graphs Page No 117
• Make Bar Graphs Lesson Check Page No 118

Lesson 6: Solve Problems Using Data

• Solve Problems Using Data Page No 123
• Solve Problems Using Data Lesson Check Page No 124

Lesson 7: Use and Make Line Plots

• Use and Make Line Plots Page No 129
• Use and Make Line Plots Lesson Check Page No 130

Chapter 2 Review/Test

• Review/Test Page No 131
• Review/Test Page No 132
• Review/Test Page No 133
• Review/Test Page No 134
• Review/Test Page No 135
• Review/Test Page No 136

Organize Data Page No 91

Problem Solving Organize Data

Use the Favorite School Subject tables for 1–4.

Question 1.
The students in two third-grade classes recorded their favorite school subject. The data are in the tally table. How many fewer students chose science than chose social studies as their favorite school subject?
Think: Use the data in the tally table to record the data in the frequency table. Then solve the problem.
social studies: 12 students
science: 5 students
12 – 5 = 7
So, 7 fewer students chose science.

Subject	Number
Math	____________
Science	5
Language Arts	____________
Reading	____________
Social Studies	12

Answer:

Subject	Number
Math	11
Science	5
Language Arts	7
Reading	9
Social Studies	12

Question 2.
What subject did the least number of students choose?
___________

Answer: Science

Explanation:

We can answer the question by using the above tally table. The table shows the least number of students is 5. Thus the answer is Science.

Question 4.
Suppose 3 students changed their vote from math to science. Describe how the frequency table would change.

Type below:
__________

Answer: There would be an equal number of students who chose math and who chose science

Explanation:

If we look at the graph there are 11 students who voted for Math and 5 students who voted for Science
If 3 students changed their vote from math to science then the new graph will be

11- 3= 8
i.e., Actual No. of Science Students + New Students who changed from Math to Science
= 5 + 3
= 8

Organize Data Lesson Check Page No 92

Question 1.
The tally table shows the cards in Kyle’s sports card collection.

How many hockey and football cards does Kyle have combined?
Options:
a. 5
b. 8
c. 12
d. 13

Answer: 13

Explanation:

Given,
Kyle has 5 hockey cards and 8 football cards
To know total no. of hockey and football cards does Kyle have combined
We have to add 5 + 8 = 13
Therefore the total no. of cards that Kyle have combined is 13

Spiral Review

Question 2.
There are 472 people in the concert hall. What is 472 rounded to the nearest hundred?
Options:
a. 400
b. 470
c. 500
d. 600

Answer: 500

If the digit to the right is more or greater than 5, then the digit in the rounding place will be increased to 1.
472 is greater than 450
So, 472 rounded to the nearest hundred is 500
So the answer is option c.

Question 4.
Judy has 573 baseball cards in her collection. Todd has 489 baseball cards in his collection. How many fewer cards does Todd have than Judy?
Options:
a. 84
b. 94
c. 116
d. 184

Answer: 84

Explanation:

Given,
Judy has 573 baseball cards in her collection
Todd has 489 baseball cards in his collection
To find how many fewer cards does Todd have than Judy
We have to find the difference between Judy and Todd baseball cards
= 573 – 489 = 84

Question 5.
Ms. Westin drove 542 miles last week and 378 miles this week on business. How many miles in all did she drive on business during the two weeks?
Options:
a. 810 miles
b. 820 miles
c. 910 miles
d. 920 miles

Answer: 920 miles

Explanation:

We observe that Ms. Westin drove 542 miles last week and 378 miles this week on business
Total number of miles in all did she drive on business during the two weeks is?
542 + 378 = 920 miles
Thus the answer to the above question is option d.

Use Picture Graphs Page No 97

Use the Math Test Scores picture graph for 1–7.

Question 1.
How many students scored 100? How can you find the answer?

Answer: To find the number of students who scored 100, count each star as 4 students. So, 20 students scored 100.

Question 2.
What does  stand for?
________ students

Answer: It represents 2 students.

Explanation:

The full star stands for 4 students
That means the half star is equal to two stars.

Question 3.
How many students in all scored 100 or 95?
________ students

Answer: 32 Students

Explanation:

No. of students who scored 100 = 5 stars
Each star = 4 students
i.e., 5 × 4 = 20 students
No. of students who scored 95 = 3
Each star = 4 students
That means 3 × 4 = 12
Total No. of students in all scored 100 or 95
12 + 20 = 32
Thus the answer is 32 students

Problem Solving

Question 6.
Suppose the students who scored 85 and 90 on the math test take the test again and score 95. How many stars would you have to add to the picture graph next to 95?
Type below:
__________

Answer: 4 Stars and half of a star

Explanation:

Students who scored 90 = 3 and a half star
Students who score 85 = 1 star
That means students scored 90 than 85 = 4 and a half star
Thus 4 and a half star stars would you have to add to the picture graph next to 95

Question 7.
If 2 more students took the math test and both made a score of 80, what would the picture graph look like?
Type below:
__________

Answer: There would be another row below 85. There would be half of a star next to 80.

Explanation:

There would be 5 lines and the 5th line will contain a half star

Use Picture Graphs Lesson Check Page No 98

Question 1.
Karen asked her friends to name their favorite type of dog.

How many people chose poodles?
Options:
a. 10
b. 6
c. 4
d. 3

Answer: 6

Explanation:

If we look at the graph, there are three bones for poodles.
Each bone represents 2 people, which means 3 bones represent 6 people.
2 + 2 + 2 = 6 people chose poodles

Question 2.
Henry made a picture graph to show what topping people like on their pizza. This is his key.
Each  = 6 people.
What does  stand for?
Options:
a. 2 people
b. 6 people
c. 9 people
d. 12 people

Answer: 12 people

Explanation:

By seeing the picture graph we can say that
Each pizza = 6 people
Then 2 pizzas = 6 + 6
= 12 people
S, the correct answer is option D

Spiral Review

Question 5.
What is 871 rounded to the nearest ten?
Options:
a. 900
b. 880
c. 870
d. 800

Answer: 870

Explanation:

If the digit is less than 5 then the number will be decreased by 1
So, the number 871 rounded to the nearest ten is 870

Question 6.
What is 473 rounded to the nearest hundred?
Options:
a. 400
b. 470
c. 500
d. 570

Answer: 500

Explanation:

473 is greater than 450 so it must be increased
473 rounded to the nearest hundred is 500
So, the correct answer is option (C)

Make Picture Graphs Page No 103

Ben asked his classmates about their favorite kind of TV show. He recorded their responses in a frequency table. Use the data in the table to make a picture graph.

Follow the steps to make a picture graph.
Step 1 Write the title at the top of the graph.
Step 2 Look at the numbers in the table. Tell how many students each picture represents for the key.
Step 3 Draw the correct number of pictures for each type of show.
Use your picture graph for 1–5.

Question 1.
What title did you give the graph?
Type below:
_________

Answer: Favorite TV Show

Question 2.
What key did you use?
________

Answer: Each ■ = 3 students

Question 3.
How many pictures did you use to represent sports?
_______ pictures

Answer: 2 pictures

Problem Solving

Question 4.
How many pictures would you draw if 12 students chose game shows as their favorite kind of TV show?
________ pictures

Answer: 4 pictures

Question 5.
What key would you use if 10 students chose cartoons?
■ = ______ students

Answer: ■ = 2 students

Explanation:

If 10 student chose cartoons, we can use a key that is a factor of 10
■■■■■ = 10
and each ■ = 2 students

Make Picture Graphs Lesson Check Page No 104

Question 1.
Sandy made a picture graph to show the sports her classmates like o play. How many fewer students chose baseball than chose soccer?

Options:
a. 3
b. 4
c. 7
d. 8

Answer: 7

Explanation:

Students chose Soccer = 9 and a half ball
Students chose Baseball = 6 balls
Given each ball = 2 students
So, students chose soccer = 2+2+2+2+2+2+2+2+2+1
=19 students
Students chose baseball = 2+2+2+2+2+2
= 12 students
students chose baseball than chose soccer = 19 – 12
= 7 students

Question 2.
Tommy is making a picture graph to show his friends’ favorite kind of music. He plans to use one musical note to represent 2 people. How many notes will he use to represent that 4 people chose country music?
Options:
a. 2
b. 4
c. 6
d. 8

Answer: 2

Explanation:

Given, Tommy is making a picture graph to show his friends’ favorite kind of music
One musical note = 2 people
For 4 people =?
2 + 2 people = 2 musical notes

Spiral Review

Question 3.
Find the sum.
4 9 0
+ 2 3 4
———
Options:
a. 256
b. 624
c. 664
d. 724

Answer: 724

Addition of 490 and 234 = 724

Question 4.
Sophie wrote odd numbers on her paper. Which number was NOT a number that Sophie wrote?
Options:
a. 5
b. 11
c. 13
d. 20

Answer: 20

Explanation:

Examples of odd numbers are 1,3,5,7,9,11,13,15….
20 is an even number
So, the number was NOT a number that Sophie wrote is 20
Thus the correct answer is 20

Question 6.
Estimate the difference.
4 2 2
– 2 8 4
——–
Options:
a. 100
b. 180
c. 200
d. 700

Answer: 100

Explanation:

The subtraction of 422 and 284 is 138
138 is less than 150, so the estimated difference of 422 and 284 is 100.
Thus the correct answer is option (A)

Mid-Chapter Checkpoint Page No 105

Vocabulary

Choose the best term from the box.

Question 1.
A __________ uses numbers to record data.
_________

Answer: Frequency table

Question 2.
A __________ uses small pictures or symbols to show and compare information.
_________

Answer: Picture Graph

Concepts and Skills

Use the Favorite Season table for 3-6.

Question 3.
Which season got the most votes?
_________

Answer: Summer

From the above table, we can say that the highest number of votes is for Summer i.e., 28

Question 4.
Which season got 3 fewer votes than winter?
_________

Answer: Spring

Explanation:

Number of votes for Winter = 22
Number of votes for Spring = 19
22 – 19 = 3
So, Spring season got 3 fewer votes than winter

Use the Our Pets picture graph for 7-9.

Question 7.
How many students have cats as pets?
________ students

Answer: 10 students

Explanation:

Number of paws for cats = 5
Each paw = 2 students
2+2+2+2+2 = 10 students

Question 8.
Five more students have dogs than which other pet?
__________

Answer: Bird

Explanation:

Number of paws for dogs = 6 and a half paw
Each paw = 2 students
2+2+2+2+2+2+1 = 13 students
Number of paws for bird = 4
2+2+2+2 = 8 students
13 – 8 = 5 students
Thus the answer is bird

Question 9.
How many pets in all do students have?
_________ students

Answer: 37 students

Explanation:

Number of paws for dogs = 6 and a half paw = 2+2+2+2+2+2+1 = 13 students
Number of paws for bird = 4 = 2+2+2+2 = 8 students
Number of paws for cats = 5 = 2+2+2+2+2 = 10 students
Number of paws for fish = 3 = 2+2+2 = 6 students
Total pets in all do students have = 13+8+10+6
= 37 students

Mid-Chapter Checkpoint Lesson Check Page No 106

Use the Favorite Summer Activity picture graph for 10-14.

Question 10.
Some students in Brooke’s school chose their favorite summer activity. The results are in the picture graph at the right. How many students chose camping?
________ students

Answer: 50 students

Explanation:

Total students chose camping = 5
Each = 10 students
10+10+10+10+10 = 50

Question 11.
How many more students chose swimming than canoeing?
_______ students

Answer: 30 students

Explanation:

Total students chose swimming = 6
Each = 10 students
= 10+10+10+10+10+10 = 60 students
Total students chose canoeing = 3
= 10+10+10 = 30 students
Total students chose swimming than canoeing = 60 – 30
= 30 students

Question 13.
How many pictures would you draw for biking if each  = 5 students?
_______

Answer: 7 pictures

Explanation:

You would draw 7 pictures
If you look at the graph there are 35 students who chose biking
So, to represent 35 students when each picture represents 5 students, we will need 7 pictures
i.e., 5+5+5+5+5+5+5 = 35 students

Question 14.
How many more students choose swimming and camping combined than biking and canoeing?
_________ students

Answer: 45 students

Explanation:

First of all, we need to find how many students chose swimming and camping combined
Total students chose swimming = 6
Each = 10 students
= 10+10+10+10+10+10 = 60 students
Total students chose camping = 5
10+10+10+10+10 = 50 students
60+50 = 110 students
Next, we need to find how many students chose biking and canoeing
Total students chose canoeing = 3
= 10+10+10 = 30 students
Total students chose biking = 3 and a half picture
10+10+10+5 = 35
Add both, and we get
30+35 = 65 students
Then, we need to subtract
110 – 65 = 45 students
Therefore the students choose swimming and camping combined than biking and canoeing = 45 students

Use Bar Graphs Page No 111

Use the After-Dinner Activities bar graph for 1–6.

The third-grade students at Case Elementary School were asked what they spent the most time doing last week after dinner. The results are shown in the bar graph at the right.

Question 1.
How many students spent the most time watching TV after dinner?
3 students

Answer: 3 students

Explanation:

From the above bar graph, we can see the activities of the students after dinner
Students spent the most time watching TV after dinner is between 2 and 4 i.e., 3 students

Question 4.
How many fewer students read than did homework?
__________ students

Answer: 6 fewer students

Explanation:

Students who spent the most time reading after dinner = 6
Students who spent the most time doing homework after dinner = 12
To find the students read than did homework = 12 – 6
= 6 students

Question 5.
How many more students read than watched TV?
________ students

Answer: 3 more students

Explanation:

Students who spent the most time reading after dinner = 6
Students who spent the most time watching TV after dinner = 3
To find the students read than watched TV = 6 – 3
= 3 students

Problem Solving

Question 6.
Suppose 3 students changed their answers to reading instead of doing homework. Where would the bar for reading end?
It would end at _________

Answer: Halfway between 8 and 10

Explanation:

According to the graph, Students who spent the most time reading after dinner = 6
If 3 more students changed their answers to reading instead of doing homework, the total students would be 9 i.e., 6 + 3

Use Bar Graphs Lesson Check Page No 112

Question 1.

The bar graph shows the number of sandwiches sold at Lisa’s sandwich cart yesterday. How many tuna sandwiches were sold?
Options:
a. 12
b. 16
c. 18
d. 20

Answer: 18

Explanation:

According to the bar graph, tuna sandwiches sold at Lisa’s sandwich cart are between 16 to 20
The no. of tuna sandwiches were sold at Lisa’s sandwich cart = 18
So, the correct answer is option (C)

Spiral Review

Question 2.
What is 582 rounded to the nearest ten?
Options:
a. 500
b. 580
c. 590
d. 600

Answer: 580

Explanation:

If the digit is less than 5 then the digit will be increased by 1.
582, 8 is rounded here.
2 < 5 so 582 rounded to the nearest ten is 580

Question 3.
Savannah read 178 minutes last week. What is 178 rounded to the nearest hundred?
Options:
a. 400
b. 280
c. 200
d. 180

Answer: 200

Explanation:

Savannah read 178 minutes last week
178 is greater than 150, so the number 178 rounded to the nearest hundred is 200

Question 4.
Estimate the difference.
3 7 1
– 9 9
——-
Options:
a. 500
b. 400
c. 300
d. 200

Answer: 300

Explanation:

The difference between 371 and 99 is 272
272 is near to 300. Because 272 is greater than 250.
So, the estimated difference between 371 and 99 is 300

Question 5.
Estimate the difference.
6 2 5
– 2 4 8
———
Options:
a. 800
b. 500
c. 400
d. 300

Answer: 400

Explanation:

The difference between 625 and 248 is 377
377 rounded to the nearest hundred is 400
Therefore the estimated difference between 625 and 248 is 400.

Make Bar Graphs Page No 117

Ben asked some friends to name their favorite breakfast food. He recorded their choices in the frequency table at the right.

Question 1.
Complete the bar graph by using Ben’s data.

Answer:

Pancakes = 12 votes
Oatmeal = 4

Use your bar graph for 2–5.

Question 2.
Which food did most people choose as their favorite breakfast food?
__________

Answer: Cereal

Explanation:

From the above bar graph, we can say that most of people chose Cereals as their favorite food.
Number of votes for cereals = 14

Question 3.
How many people chose waffles as their favorite breakfast food?
_________ people

Answer: 8 people

Explanation:

The bar graph shows that the number of people who chose Waffles as their favorite breakfast food is 8.

Question 4.
How did you know how high to draw the bar for pancakes?
Type below:
__________

Answer:

Since 12 people chose pancakes, I made the top of the bar end at the line for 12

Question 5.
Suppose 6 people chose oatmeal as their favorite breakfast food. How would you change the bar graph?
Type below:
___________

Answer: I would make the bar for oatmeal end halfway between 4 and 8.

Make Bar Graphs Lesson Check Page No 118

Question 1.
Gary asked his friends to name their favorite pizza topping. He recorded the results in a bar graph. How many people chose pepperoni?
Options:
a. 6
b. 5
c. 4
d. 1

Answer: 6

Explanation:

The bar graph shows that the number of people who chose pepperoni is 6
So, the correct answer is option (a)

Question 2.
Suppose 3 more friends chose mushrooms. Where would the bar for mushrooms end?
Options:
a. 2
b. 4
c. 6
d. 8

Answer: 4

Explanation:

We notice that the vertical bar for mushrooms ends at 1
1 person chose mushrooms
If 3 more friends chose mushrooms, the bar would end at 4
Then the answer is 1 + 3 = 4

Spiral Review

Question 4.
Matt added 14 + 0. What is the correct sum?
Options:
a. 140
b. 14
c. 1
d. 0

Answer: 14

Explanation:

Any number added by 0 is itself. So the sum of 14 + 0 = 14
The correct answer is Option B

Question 5.
There are 682 runners registered for an upcoming race. What is 682 rounded to the nearest hundred?
Options:
a. 600
b. 680
c. 700
d. 780

Answer: 700

Explanation:

If the digit to the right is more or equal to 5, then the digit in the rounding place increases by one
Change all the digits to the right of the rounding place to zero.
So, 682 rounded to the nearest hundred 700

The correct answer is option C

Question 6.
There are 187 new students this year at Maple Elementary. What is 187 rounded to the nearest ten?
Options:
a. 100
b. 180
c. 190
d. 200

Answer: 190

Explanation:

If the digit to the right is more or equal to 5, then the digit in the rounding place increases by one
Change all the digits to the right of the rounding place to zero.
So, the number 187 rounded to the nearest ten is 190
Thus the correct answer is Option C

Solve Problems Using Data Page No 123

Use the Favorite Hot Lunch bar graph for 1–3.

Question 1.
How many more students chose pizza than chose grilled cheese?
Think: Subtract the number of students who chose grilled cheese, 2, from the number of students who chose pizza, 11.
11 – 2 = 9

Answer: 9 more students

Use the Ways to Get to School bar graph for 4–7.

Question 4.
How many more students walk than ride in a car to get to school?
________ more students

Answer: 3 more students

Explanation:

No. of students walk to get to school = 7
No. of students ride in a car to get to school = 4
Now, subtract the no. of students walk from no. of students ride in a car
We get, 7 – 4 = 3

Question 5.
How many students walk and ride a bike combined?
________ students

Answer: 10 students

Explanation:

Number of students walk to get to school = 7
Number of students ride a bike to get to school = 3
To know how many students walk and ride a bike combined
We have to add Number of students walk and ride a bike
= 7 + 3 = 10

Problem Solving

Solve Problems Using Data Lesson Check Page No 124

Question 1.
How many fewer votes were for bench repair than for food drive?
Options:
a. 9
b. 10
c. 16
d. 11

Answer: 10

Explanation:

Number of votes for food drive = 13
Number of votes for bench repair = 3
To find votes were for bench repair than for food drive
We need to subtract Number of votes for bench repair from Number of votes for food drive
i.e., 13 – 3 = 10

Question 2.
How many votes were there in all?
Options:
a. 14
b. 4
c. 32
d. 34

Answer: 32

Explanation:

Number of votes for food drive = 13
Number of votes for bench repair = 3
Number of votes for Wall Mural = 10
Number of votes for Park Pick up = 6
Total no. of votes = 13 + 10 + 3 + 6 = 32

Spiral Review

Question 3.
Find the difference.
6 5 0
– 1 8 9
——–
Options:
a. 461
b. 479
c. 539
d. 571

Answer: 461

Explanation:

Here we have to subtract 650 from 189
650 – 189 = 461

Question 4.
Greyson has 75 basketball cards. What is 75 rounded to the nearest ten?
Options:
a. 60
b. 70
c. 80
d. 90

Answer: 80

Explanation:

If the digit to the right is more or equal than 5, then the digit in the rounding place increases by one
Change all the digits to the right of the rounding place to zero.
So, 75 rounded to the nearest ten is 80

Question 5.
Sue spent $18 on a shirt, $39 on a jacket, and $12 on a hat. How much did she spend in all?
Options:
a. $79
b. $69
c. $57
d. $51

Answer: $69

Explanation:

Given
Sue spent $18 on a shirt
Sue spent $39 on a jacket and $12 on a hat
Total amount she spent in all = 18 + 39 + 12
= $69
Thus the correct answer is option B

Question 6.
There are 219 adults and 174 children at the ballet. How many people are at the ballet in all?
Options:
a. 45
b. 293
c. 383
d. 393

Answer: 393

Explanation:

Given that there are 219 adults and 174 children in a ballet
To know how many people are at the ballet
We have to add no. of adults with no. of children
That means 219 + 174 = 393
Thus the correct answer is Option D

Use and Make Line Plots Page No 129

Question 1.
How many shirts sold for $12?
4 shirts

Answer: 4 shirts

Explanation:

From the above table, we can say that the no. of shirts sold for $12 is 4

Question 2.
At which price were the most shirts sold?
$ ________

Answer: $13

Explanation:

The table shows that the most number of shirts sold for $13

Problem Solving

Use the line plot above for 5–6.

Question 5.
Were more shirts sold for less than $13 or more than $13? Explain.
________

Answer: more than $13; 6 > 5

Explanation:

No. of shirts sold for less than $13 = 5
No. of shirts sold for more than $13 = 6
More shirts are sold for more than $13

Question 6.
Is there any price for which there are no data? Explain.
$ ________

Answer: Yes

Explanation:

There are no Xs above $15, there were no shirts sold for $15

Use and Make Line Plots Lesson Check Page No 130

Question 1.
Pedro made a line plot to show the heights of the plants in his garden. How many plants are less than 3 inches tall?
Options:
a. 4
b. 5
c. 10
d. 16

Answer: 10

Explanation:

Number of plants of 1 inch = 6
Number of plants of 2 inches = 4
So, the number of plants less than 3 inches tall = 6 + 4
= 10 plants
So, the correct answer is option C

Question 1.

Question 2.
Find the sum.
6 4 2
+ 2 5 9
———
Options:
a. 383
b. 801
c. 891
d. 901

Answer: 901

Explanation:

Sum of 642 and 259 is 901
Thus the correct answer is option D

Question 3.
Find the difference.
4 6 0
– 3 0 9
———
Options:
a. 61
b. 151
c. 161
d. 169

Answer: 151

Explanation:

To get the answer we have to subtract 309 from 460
460 – 309 = 151
Thus the correct answer is option B

Question 4.
There were 262 hamburgers cooked for the school fair. What is 262 rounded to the nearest hundred?
Options:
a. 200
b. 260
c. 270
d. 300

Answer: 300

Explanation:

If the digit to the right is more or equal than 5, then the digit in the rounding place increases by one
Change all the digits to the right of the rounding place to zero.
262 rounded to the nearest hundred is 300

Question 5.
Makenzie has 517 stickers in her collection. What is 517 rounded to the nearest ten?
Options:
a. 500
b. 510
c. 520
d. 600

Answer: 520

Explanation:

Makenzie has 517 stickers in her collection
If the digit to the right is more or equal than 5, then the digit in the rounding place increases by one
517 rounded to the nearest ten is 520

Review/Test Page No 131

Question 1.
Mia made a tally table to record the different types of birds she saw at the bird feeder in the garden.

For numbers 1a–1c, select True or False for each statement.
a. Mia saw twice as many sparrows as blackbirds.
i. True
ii. False

Answer: True

Explanation:

Use the tally provided in the above table
No. of Sparrows = 12
No. of Blackbird = 6
By this, we can say that the sparrows are twice as blackbirds
So, the answer is true

Question 1.
b. Mia saw 8 finches.
i. True
ii. False

Answer: True

Explanation:

The above tally table shows that the number of finches = 8
So, the answer is true

Question 1.
c. Mia saw 4 fewer jays than blackbirds.
i. True
ii. False

Answer: False

Explanation:

No. of Blackbirds = 6
No. of Jays = 4
To know whether the question is true or false
We have to subtract 4 from 6
6 – 4 = 2
So, the answer is false

Question 2.
Jake asked 25 students in his class how close they live to school. The frequency table shows the results.

Part A
Complete the table and explain how you found the answer.

Answer: 7 boys

Explanation:

Total Number of students = 25
Now we have to add the number of students from the table
4 + 5 + 4 + 3 + 2 = 18 students
Next, subtract 18 from the total number of students, 25, to find x
25 – 18 = 7
Therefore, the missing number x is 7

Question 2.
Part B
How many more students live about 2 miles or less from school than students who live about 3 miles from school? Show your work.
________ students

Answer: 13 students

Explanation:

Number of students who live about 1 mile = 4 boys + 5 girls = 9 students
Students who live about 2  miles = 4 students
Students who live about 3 miles = 3 boys + 2 girls = 5 students
Next, we have to add total students who live about 2 miles or less = 9 + 4 = 13 students

Review/Test Page No 132

Use the picture graph for 3–6.

Students at Barnes School are performing in a play. The picture graph shows the number of tickets each class has sold so far.

Question 3.
How many tickets were sold altogether? Explain how you found the total.
________ tickets

Answer: 100 tickets

Explanation:

Number of tickets sold in Ms. Brown’s Class = 9 ✓
Each tick = 5 tickets
5+5+5+5+5+5+5+5+5 = 45 tickets
Number of tickets sold in Mrs. Gold’s Class = 5 ✓
5+5+5+5+5 = 25 tickets
Number of ticks sold in Mr. Castro’s Class = 6 ✓
Each tick = 5 tickets
5+5+5+5+5+5 = 30
Now, we have to add the total number of tickets sold = 45 + 25 + 30 = 100 tickets

Question 4.
Choose the name from each box that makes the sentence true.
Five fewer tickets were sold by class than  class.
Type below:
________

Answer: Mrs. Gold’s Class than Mr. Castro’s Class

Explanation:

Number of tickets sold in Mrs. Gold’s Class = 5 ✓
5+5+5+5+5 = 25 tickets
Number of ticks sold in Mr. Castro’s Class = 6 ✓
Each tick = 5 tickets
5+5+5+5+5+5 = 30
Subtract Number of tickets sold in Mrs. Gold’s from Mr. Castro’s Class
We get 30 – 25 = 5 tickets

Question 6.
What if Mrs. Gold’s class sold 20 more tickets? Draw a picture to show how the graph would change.
Type below:
_________

Answer: 20 tickets mean 5 + 5 + 5 + 5, or 4 ✓

So we would add 4 more ticks to Mrs. Gold’s Class

Review/Test Page No 133

Use the frequency table for 7–8.

Question 7.
The Pet Shop keeps track of the number of fish it has for sale. The frequency table shows how many fish are in three tanks.

Part A
Use the data in the table to complete the picture graph.

Type below:
_________

Answer:

Given each circle= 2 fishes
Tank 1:
Tank 1 contains 16 fishes
That means 2+2+2+2+2+2+2+2 = 8 circle
Tank 2:
Tank 2 contains 9 fishes
= 2+2+2+2+1 = 4 and a half circle
Tank 3:
Tank 3 contains 12 fishes = 2+2+2+2+2+2 = 6 circle

Question 7.
Part B
How many pictures did you draw for Tank 2? Explain.
Type below:
________

Answer: 4 and a half circle

Explanation:

Tank 2 contains 9 fishes
Each circulet= 2 fishes
2+2+2+2+1
Therefore the answer is 4 and a half circle

Question 8.
Each tank can hold up to 20 fish. How many more fish can the Pet Shop put in the three tanks?
Options:
a. 60 fish
b. 23 fish
c. 20 fish
d. 33 fish

Answer: 23 fishes

Explanation:

Given that each tank can hold up to 20 fishes
Total number of tanks = 3
20+20+20 = 60 fishes
From the above table, we observe that
Tank 1 contains 16 fishes
Tank 2 contains 9 fishes
Tank 3 contains 12 fishes
Total number of fishes that all tanks contain = 12+16+9 = 37 fishes
Now, we have to subtract the number of fishes that all tanks contain from the number of fishes pet shop put in the three tanks
= 60 – 37 = 23 fishes

Review/Test Page No 134

Use the bar graph for 9–12.

Question 9.
Three more students play the piano than which other instrument?
__________

Answer: Flute

Explanation:

The above bar graph shows the number of students who play musical instruments
From the graph, we observe that the number of students who play the flute is 6
And the number of students who play the piano is 9
Subtract Number of students play flute from piano
We get,
9 – 6 = 3
Thus the answer is Flute

Question 11.
For numbers 11a–11d, select True or False for each statement.
a. Ten more students play guitar than play flute.
i. True
ii. False

Answer: False

Explanation:

No. of students who play guitar = 10
No. of students who play flute = 6
The statement is not correct
So, the answer is false

Question 11.
b. Nine students play piano.
i. True
ii. False

Answer: True

Explanation:

The bar graph given in above shows that the number of students who play piano is 9. So, the answer is true.

Question 11.
c. Six fewer students play flute and piano combined than play drums and guitar combined.
i. True
ii. False

Answer: False

Explanation:

No. of students who play guitar = 10
No. of students who play drums = 10
No. of students who play flute = 6
No. of students who play piano = 9
Now, add the number of students who play flute and piano = 6+9 = 15
Next, add the No. of students who play drums and guitar = 10+10 = 20
The difference between them is 5, not 6
So, the answer is false

Question 11.
d. Nine more students play piano and guitar combined than play drums.
i. True
ii. False

Answer: True

Explanation:

No. of students who play piano = 9
No. of students who play guitar = 10
Total = 10+9 = 19 students
No. of students who play drums = 10
Subtract No. of students who play drums from total number of students who play piano and guitar combined
That means 19 – 10 = 9
Therefore the  answer is true

Question 12.
There are more students who play the trumpet than play the flute, but fewer students who play the guitar. Explain how you would change the bar graph to show the number of students who play the trumpet.
Type below:
________

Answer:

There are 6 students who play the flute and 10 students who play guitar
The no. of students who play trumpet must be between 6 and 10 i.e., 7, 8, or 9 students.

In the above example, we show the number of students who play the trumpet is 8

Review/Test Page No 135

Use the frequency table for 13–14.

Question 13.
Part A
Use the data in the table to complete the bar graph.

Answer:

Question 13.
Part B
How do you know how long to make the bars on your graph? How did you show 15 votes for broccoli? Explain.
Type below:
_________

Answer:

By reading Karen’s frequency table we can see the number of votes for each favorite vegetable.
15 lies between 10 and 20. So, the bar should be drawn all the way to the midpoint between 10 and 20.

Review/Test Page No 136

Use the line plot for 15–16.

The line plot shows the number of goals the players on Scot’s team scored.

Question 15.
For numbers 15a–15d, select True or False for each statement.
a. Three players scored 2 goals.
i. True
ii. False

Answer: True

Explanation:

One player scored 2 goals, one player scored 4 goals and one player scored 3 goals
So, the answer is true

Question 15.
b. Six players scored fewer than 2 goals.
i. True
ii. False

Answer: True

Explanation:

From the figure, we can say that 4 players scored 1 goal and 2 players scored 0
4+2 =6
So, the answer is true

Question 15 (request help)
c. There are 8 players on the team.
i. True
ii. False

Answer: False

Explanation:

We need to count all X = 11

Question 15
d. Five players scored more than 1 goal.
i. True
ii. False

Answer: True

Explanation:

More than 1 goal means 2, 3, or 4 goals
We observe that 3 players scored 2 goals, 1 player scored 3 goals, and 1 player scored 4 goals
Now we have to add the players who scored more than 1 goal
3+1+1 = 5
Therefore 5 players scored more than 1 goal

Question 16.
What if two more people played and each scored 3 goals? Describe what the line plot would look like.
Type below:
__________

Answer: We have to add two more X on line plot 3

Use the line plot for 17–18.

Robin collected shells during her vacation. She measured the length of each shell to the nearest inch and recorded the data in a line plot.

Question 17.
How many shells were 6 inches long or longer?
_________ shells

Answer: 11 shells

Explanation:

5 shells were 6 inches long
2 shells were 7 inches long
1 shell was 8 inches long
3 shells were 9 inches long
Total = 5+2+1+3 = shells
Thus the answer is 11 shells

Question 18.
How many more shells did Robin collect that were 5 inches long than 8 inches long?
________ shells

Answer: 2 shells

Explanation:

Robin collects 3 shells which were 5 inches long and 1 shell was 8 inches long.
To know how many shells did Robin collect that were 5 inches long than 8 inches long
We have to subtract the number of shells was 8 inches long from the number of shells were 5 inches long
i.e., 3 – 1 = 2 shells

In this chapter, you can the bar graphs, picture graphs, and line plots. These are graphs that are the most interesting and easiest part of this chapter. A brief explanation of the topics is discussed in the Solution Key of Grade 3 Go Math Chapter 2 Represent and Interpret Data.

Here we have provided the exercise questions along with the answers to help in practicing the chapter. You can find the different and simple methods of solving the problems in Go Math 3rd Grade Answer Key Chapter 2 Extra Practice. Hence make use of all the links and score well in the exams. If you any queries you can leave comments in the comment section below and we will respond as early as possible.

Go Math Grade 4 Answer Key Chapter 12 Relative Sizes of Measurement Units Pdf download links are provided here for free od cost.  Do refer to them during the preparation time and learn the concepts easily. All the students who are hunting for the Go Math Grade 4 Answer Key Chapter 12 Relative Sizes of Measurement Units can download them here. So, take the help of these available pdf links and download Go Math Grade 4 Answer Key Chapter 12 pdf to understand & learn the concepts of Relative Sizes of Measurement Units in a simplistic manner.

Go Math Grade 4 Answer Key Chapter 12 Relative Sizes of Measurement Units

Go through the below-provided links and get the Go Math Grade 4 Chapter 12 Relative Sizes of Measurement Units Answer Key for better preparation and score good marks in the exams. The provided solutions to all the questions asked from Relative Sizes of Measurement Units concepts will help you in real-time calculations also. Hence, utilize these lesson-wise links and solve each and every concept related questions covered in this chapter.

Lesson 1:

• Measurement Benchmarks Page No 645
• Measurement Benchmarks Lesson Check Page No 646

Lesson 2:

• Customary Units of Length Page No. 649
• Customary Units of Length Page No. 650

Common Core

• Common Core – New – Page No. 651
• Common Core – New – Lesson Check Page No. 652

Lesson 3:

• Customary Units of Weight Page No. 655
• Customary Units of Weight Page No. 656

Common Core

• Common Core – New – Page No. 657
• Common Core – New – Page No. 658

Lesson 4:

• Customary Units of Liquid Volume Page No. 661
• Customary Units of Liquid Volume Page No. 662

Common Core

• Common Core – New – Page No. 663
• Common Core – New – Lesson Check Page No. 664

Lesson 5:

• Line Plots Page No. 667
• Line Plots Page No. 668

Common Core

• Common Core – New – Page No. 669
• Common Core – New – Lesson Check Page No. 670

Mid Chapter Checkpoint

• Mid-Chapter Checkpoint Page No. 671
• Mid-Chapter Checkpoint Page No. 672

Lesson 6:

• Investigate • Metric Units of Length Page No. 675
• Investigate • Metric Units of Length Page No. 676

Common Core

• Common Core – New – Page No. 677
• Common Core – New – Lesson Check Page No. 678

Lesson 7:

• Metric Units of Mass and Liquid Volume Page No. 680
• Metric Units of Mass and Liquid Volume Page No. 681
• Metric Units of Mass and Liquid Volume Page No. 682

Common Core

• Common Core – New – Page No. 683
• Common Core – New – Lesson Check Page No. 684

Lesson 8:

• Units of Time Page No. 687
• Units of Time Page No. 688

Common Core

• Common Core – New – Page No. 689
• Common Core – New – Lesson Check Page No. 690

Lesson 9: Problem Solving • Elapsed Time

• Problem-Solving • Elapsed Time Page No. 693
• Problem-Solving • Elapsed Time Page No. 694

Common Core

• Common Core – New – Page No. 695
• Common Core – New – Lesson Check Page No. 696

Chapter 12: Page No. 699

Chapter 12: Page No. 700

Lesson 10:

• Common Core – New – Mixed Measures Page No. 701
• Common Core – New – Mixed Measures Lesson Check Page No. 702

Lesson 11: Algebra • Patterns in Measurement Units

• Algebra • Patterns in Measurement Units Page No. 705
• Algebra • Patterns in Measurement Units Page No. 706

Common Core

• Common Core – New – Page No. 707
• Common Core – New – Page No. 708

Chapter 12: Review/Test

• Review/Test Page No. 709
• Review/Test Page No. 710
• Review/Test Page No. 711
• Review/Test Page No. 712
• Review/Test Page No. 713
• Review/Test Page No. 714
• Review/Test Page No. 719
• Review/Test Page No. 720

Common Core – New – Page No. 645

Measurement Benchmarks

Use benchmarks to choose the customary unit you would use to measure each.

Question 1.
height of a computer
foot

Question 2.
weight of a table
________

Answer: Pound

The customary unit to measure the weight of the table is Pound.

Question 3.
length of a semi-truck
________

Answer: Yard

The unit to measure the length of a semi-truck is the yard.

Question 4.
the amount of liquid a bathtub holds
________

Answer: Gallon

The customary unit to measure the amount of liquid a bathtub holds is Gallon.

Use benchmarks to choose the metric unit you would use to measure each.

Question 5.
mass of a grasshopper
________

Answer: Gram

The metric unit to measure the mass of a grasshopper is the gram.

Question 6.
the amount of liquid a water bottle holds
________

Answer: Liter

The metric unit to measure the amount of liquid a water bottle holds is Liter.

Question 7.
length of a soccer field
________

Answer: Meter

The metric unit to measure the length of a soccer field is meter.

Question 8.
length of a pencil
________

Answer: Centimeter

The metric unit to measure the length of a pencil is Centimeter.

Circle the better estimate.

Question 9.
mass of a chicken egg
a. 50 grams
b. 50 kilograms

Answer: 50 grams

The better estimate to measure the mass of a chicken egg is 50 grams.

Question 10.
length of a car
a. 12 miles
b. 12 feet

Answer: 12 feet

The better estimate to measure the length of a car is 12 feet.

Question 11.
amount of liquid a drinking glass holds
a. 8 ounces
b. 8 quarts

Answer: 8 ounces

The better estimate to measure the amount of liquid a drinking glass holds is 8 ounces.

Complete the sentence. Write more or less.

Problem Solving

Question 14.
What is the better estimate for the mass of a textbook, 1 gram or 1 kilogram?
1 ________

Answer: 1 kilogram

The weight of a book will be more than a gram. So, the better estimate for the mass of a textbook is 1 kilogram.

Question 15.
What is the better estimate for the height of a desk, 1 meter or 1 kilometer?
1 ________

Answer: 1 meter

The kilometer is not suitable to measure the height of the desk. So, the better estimate for the height of a desk is 1 meter.

Common Core – New – Page No. 646

Lesson Check

Question 1.
Which is the best estimate for the weight of a stapler?
Options:
a. 4 ounces
b. 4 pounds
c. 4 inches
d. 4 feet

Answer: 4 ounces

The best estimate for the weight of a stapler is 4 ounces
So, the correct answer is option A.

Question 2.
Which is the best estimate for the length of a car?
Options:
a. 4 kilometers
b. 4 tons
c. 4 kilograms
d. 4 meters

Answer: 4 meters

The unit to measure the length of the car is meters.
Thus the answer is option D.

Spiral Review

Question 3.
Bart practices his trumpet 1 \(\frac{1}{4}\) hours each day. How many hours will he practice in 6 days?
Options:
a. 8 \(\frac{2}{4}\) hours
b. 7 \(\frac{2}{4}\) hours
c. 7 hours
d. 6 \(\frac{2}{4}\) hours

Answer: 7 \(\frac{2}{4}\) hours

Explanation:

Bart practices his trumpet 1 \(\frac{1}{4}\) hours each day.
The normal fraction for 1 \(\frac{1}{4}\) = \(\frac{5}{4}\)
In order to calculate the number of hours for 6 days, we need to multiply the fraction by 6.
6 × \(\frac{5}{4}\) = \(\frac{30}{4}\)
The mixed fraction of \(\frac{30}{4}\) is 7 \(\frac{2}{4}\) hours
So, the correct answer is option D.

Question 4.
Millie collected 100 stamps from different countries. Thirty-two of the stamps are from countries in Africa. What is \(\frac{32}{100}\) written as a decimal?
Options:
a. 32
b. 3.2
c. 0.32
d. 0.032

Answer: 0.32

The decimal for the fraction is \(\frac{32}{100}\) = 0.32
Thus the answer is option C.

Question 5.
Diedre drew a quadrilateral with 4 right angles and 4 sides of the same length. What kind of polygon did Diedre draw?
Options:
a. square
b. trapezoid
c. hexagon
d. pentagon

Answer: square

Explanation:

A square has got 4 sides of equal length and 4 right angles (right angle = 90 degrees).
So, the correct answer is option A.

Question 6.
How many degrees are in an angle that turns through \(\frac{1}{2}\) of a circle?
Options:
a. 60°
b. 90°
c. 120°
d. 180°

Answer: 180°

Explanation:

\(\frac{1}{2}\) × 360°
360°/2 = 180°
So, the correct answer is option D.

Page No. 649

Question 1.
Compare the size of a yard to the size of a foot.
Use a model to help.


1 yard is ____ times as long as ____ foot.
____              ____

Answer: 1 yard is three times as long as one feet.

Complete.

Question 4.
7 yards = ____ feet

Answer: 21 feets

Explanation:

1 yard = 3 feets
7 yards = 3 × 7 = 21 feets
Therefore 7 yards = 21 feets

Question 5.
4 yards = ____ feet

Answer: 12 feets

Explanation:

1 yard = 3 feet
4 yards = 4 × 3 feets = 12 feets
4 yards = 12 feets

Question 6.
10 yards = ____ feet

Answer: 30 feets

Explanation:

1 yard = 3 feets
10 yards = 10 × 3 feets = 30 feets
10 yards = 30 feets

Question 7.
7 feet = ____ inches

Answer: 84 inches

Explanation:

1 feet = 12 inches
7 feets = 7 × 12 = 84 inches

Use Symbols Algebra Compare using <, >, or =.

Question 10.
6 feet ____ 60 inches

Answer: 6 feet > 60 inches

Explanation:

1 feet = 12 inches
6 feets = 6 × 12 inches = 72 inches
72 inches is greater than 60 inches
So, 6 feet > 60 inches

Question 12.
Select the measures that are equal. Mark all that apply.
Options:
a. 4 feet
b. 12 yards
c. 36 feet
d. 480 inches
e. 15 feet
f. 432 inches

Answer: B = C = F

Explanation:

1 yard = 3 feet
12 yards = 12 × 3 = 36 feet
So, B = C

1 feet = 12 inches
36 feet = 12 × 36 inches = 432 inches
C = F
Therefore B = C = F

Page No. 650

Question 13.
Jasmine and Luke used fraction strips to compare the size of a foot to the size of an inch using fractions. They drew models to show their answers. Whose answer makes sense? Whose answer is nonsense? Explain your reasoning.
Jasmine’s Work

1 inch is \(\frac{1}{12}\) of a foot.
Luke’s Work

1 inch is \(\frac{1}{3}\) of a foot.
_______ ‘s answer makes sense

Answer: Jasmine’s answer makes sense

Question 13.
a. Apply For the answer that is nonsense, write an answer that makes sense.
Type below:
________

Answer: Luke’s answer is nonsense and Jasmine’s answer makes sense.
Because 1 foot = 12 inches. The fraction of 1 inch = \(\frac{1}{3}\) of a foot.

Question 13.
b. Look back at Luke’s model. Which two units could you compare using his model? Explain.
Type below:
________

Answer: Luke’s model will be suitable to compare the size of a foot to the size of a yard using fractions.

1 feet = 12 inches
3 feet = 36 inches
36 inches = 1 yard
So, 1 yard = \(\frac{12}{36}\)
1 yard = \(\frac{1}{3}\) feet

Common Core – New – Page No. 651

Customary Units of Length

Complete.

Question 1.
3 feet = 36 inches
Think: 1 foot = 12 inches,
so 3 feet = 3 × 12 inches or 36 inches

Question 2.
2 yards = ____ feet

Answer: 6

Explanation:

1 yard = 3 feet
2 yards = 2 × 3 = 6 feets

Question 3.
8 feet = ____ inches

Answer: 96 inches

Explanation:

1 foot = 12 inches
8 feet = 12 × 8 = 96 inches
So, 8 feet = 96 inches

Question 4.
7 yards = ____ feet

Answer:21 feets

Explanation:

1 yard = 3 feet
7 yards = 7 × 3 feet = 21 feets
So, 7 yards = 21 feets

Question 7.
10 feet = ____ inches

Answer: 120 inches

Explanation:

1 foot = 12 inches
10 feet = 10 × 12 inches
10 feet = 120 inches

Compare using <, >, or =.

Question 8.
3 yards ____ 10 feet

Answer: 3 yards < 10 feet

Explanation:

1 yard = 3 feet
3 yards = 3 × 3 feet = 9 feet
9 feet is less than 10 feet
So, 3 yards < 10 feet

Question 9.
5 feet ____ 60 inches

Answer: 5 feet = 60 inches

Explanation:

1 foot = 12 inches
5 feet = 5 × 12 inches = 60 inches
So, 5 feet = 60 inches

Question 10.
8 yards ____ 20 feet

Answer: 8 yards > 20 feet

Explanation:

1 yard = 3 feet
8 yards = 8 × 3 feet = 24 feet
24 feet is greater than 20 feet
So, 8 yards > 20 feet

Question 11.
3 feet ____ 10 inches

Answer: 3 feet > 10 inches

Explanation:

1 foot = 12 inches
3 feet = 3 × 12 inches = 36 inches
36 inches is greater than 10 inches
So, 3 feet > 10 inches

Question 12.
3 yards ____ 21 feet

Answer: 3 yards < 21 feet

Explanation:

1 yard = 3 feet
3 yards = 3 × 3 feet = 9 feet
9 feet is less than 21 feet
So, 3 yards < 21 feet

Question 13.
6 feet ____ 72 inches

Answer: 6 feet = 72 inches

Explanation:

1 foot = 12 inches
6 feet = 6 × 12 inches = 72 inches
6 feet = 72 inches

Problem Solving

Common Core – New – Page No. 652

Lesson Check

Question 1.
Marta has 14 feet of wire to use to make necklaces. She needs to know the length in inches so she can determine how many necklaces to make. How many inches of wire does Marta have?
Options:
a. 42 inches
b. 84 inches
c. 168 inches
d. 504 inches

Answer: 168 inches

Explanation:

Marta has 14 feet of wire to use to make necklaces.
1 feet = 12 inches
14 feet = 14 × 12 inches
14 feet = 168 inches
So, the correct answer is option C.

Question 2.
Jarod bought 8 yards of ribbon. He needs 200 inches to use to make curtains. How many inches of ribbon does he have?
Options:
a. 8 inches
b. 80 inches
c. 96 inches
d. 288 inches

Answer: 288 inches

Explanation:

Jarod bought 8 yards of ribbon. He needs 200 inches to use to make curtains.
1 yard = 36 inches
8 yards = 288 inches
Thus he has 288 inches of ribbon.
So, the correct answer is option D.

Spiral Review

Question 3.
Which describes the turn shown below?

Options:
a. \(\frac{1}{4}\) turn counterclockwise
b. \(\frac{1}{4}\) turn clockwise
c. \(\frac{1}{2}\) turn clockwise
d. \(\frac{3}{4}\) turn counterclockwise

Answer: \(\frac{1}{4}\) turn counterclockwise

By seeing the above figure we can say that the circle turn \(\frac{1}{4}\) in a counterclockwise direction.

Question 4.
Which decimal represents the shaded part of the model below?

Options:
a. 0.03
b. 0.3
c. 0.33
d. 0.7

Answer: 0.3

Explanation:

The square is divided into 10 parts. Among them, 3 parts are shaded.
The fraction of the shaded part is \(\frac{3}{10}\)
The decimal that represents the above figure is 0.3
Thus the correct answer is option B.

Question 5.
Three sisters shared $3.60 equally. How much did each sister get?
Options:
a. $1.00
b. $1.20
c. $1.80
d. $10.80

Answer: $1.20

Explanation:

Three sisters shared $3.60 equally.
The amount that each sister get = x
x × 3 = $3.60
x = $3.60/3 = $1.20
So, the correct answer is option B.

Question 6.
Which is the best estimate for the width of your index finger?
Options:
a. 1 millimeter
b. 1 gram
c. 1 centimeter
d. 1 liter

Answer: 1 centimeter

The unit to measure the width of your index finger is 1 centimeter
The answer is option C.

Page No. 655

Question 1.
4 tons = ______ pounds

Answer: 8000 pounds

Explanation:

1 ton = 2000 pounds
4 tons = 4 × 2000 pounds = 8000 pounds
4 tons = 8000 pounds

Complete.

Question 4.
7 pounds = ______ ounces

Answer: 112 ounces

1 pound = 16 ounces
7 pounds = 7 × 16 ounces
7 pounds = 112 ounces

Question 5.
6 tons = ______ pounds

Answer:

1 ton = 2000 pounds
6 tons = 6 × 2000 pounds
6 tons = 12,000 pounds

Use Symbols Algebra Compare using >, <, or =.

Question 6.
1 pound ______ 15 pounds

Answer: 1 pound < 15 pounds
1 is greater than 15.
So, 1 pound < 15 pounds

Question 7.
2 tons ______ 2 pounds

Answer: 2 tons > 2 pounds
1 ton is greater than 1 pound.
So, 2 tons > 2 pounds

Question 9.
If you could draw a number line that shows the relationship between tons and pounds, what would it look like? Explain.

Answer:
Since 1 ton = 2000 pounds, the number line would show tick marks for every whole number from 0 to 2000. Each tick mark from 0 to 2000 would represent 1 pound. The tick mark in 2000 would represent 1 ton.

Question 10.
Write the symbol that compares the weights correctly.

160 ounces ______ 10 pounds

Answer: 160 ounces = 10 pounds
1 pound = 16 ounces
16 pounds = 10 × 16 ounces = 160 ounces
160 ounces = 10 pounds

Question 10.
600 pounds ______ 1 ton

Answer: 600 pounds < 1 ton
1 ton = 2000 pounds
600 pounds is less than 2000 pounds
600 pounds < 1 ton

Page No. 656

Question 11.
Alexis bought \(\frac{1}{2}\) pound of grapes. How many ounces of grapes did she buy?
Dan drew the number line below to solve the problem. He says his model shows that there are 5 ounces in \(\frac{1}{2}\) pound. What is his error?

Look at the way Dan solved the problem.
Draw a correct number line and solve the problem.
Find and describe his error.
So, Alexis bought ______ ounces of grapes.
Type below:
________

1 pound = 16 ounces
\(\frac{1}{2}\) pound = 8 ounces
The error of Dan is he must draw the mark till 8 but he drew till 5 ounces.

Question 11.
Look back at the number line you drew. How many ounces are in \(\frac{1}{4}\) pound? Explain.
Type below:
________

Answer: There are 4 ounces in \(\frac{1}{4}\) pound.

Common Core – New – Page No. 657

Customary Units of Weight

Complete.

Question 1.
5 pounds = 80 ounces
Think: 1 pound = 16 ounces, so
5 pounds = 5 × 16 ounces, or 80 ounces

Question 2.
7 tons = _____ pounds

Answer: 14,000 pounds

Explanation:

1 ton = 2000 pounds
7 tons = 7 × 2000 pounds = 14000 pounds
7 tons = 14000 pounds

Question 3.
2 pounds = _____ ounces

Answer: 32 ounces

Explanation:

1 pound = 16 ounces
2 pounds = 2 × 16 ounces = 32 ounces
2 pounds = 32 ounces

Question 4.
3 tons = _____ pounds

Answer: 6,000 pounds

Explanation:

1 ton = 2000 pounds
3 tons = 3 × 2000 pounds = 6000 pounds
3 tons = 6000 pounds

Question 5.
10 pounds = _____ ounces

Answer: 160 ounces

Explanation:

1 pound = 16 ounces
10 pounds = 10 × 16 ounces = 160 ounces
10 pounds = 160 ounces

Question 6.
5 tons = _____ pounds

Answer: 10,000 pounds

Explanation:

1 ton = 2000 pounds
5 tons = 5 × 2000 pounds = 10000 pounds
5 tons = 10000 pounds

Question 7.
7 pounds = _____ ounces

Answer: 112 ounces

Explanation:

1 pound = 16 ounces
7 pounds = 7 × 16 ounces = 112 ounces
7 pounds = 112 ounces

Compare using <, >, or =.

Question 10.
3 pounds _____ 50 ounces

Answer: 3 pounds < 50 ounces

Explanation:

1 pound = 16 ounces
3 pounds = 3 × 16 ounces = 48 ounces
3 pounds = 48 ounces
3 pounds < 50 ounces

Question 11.
5 tons _____ 1,000 pounds

Answer: 5 tons > 1,000 pounds

Explanation:

1 ton = 2000 pounds
5 tons = 5 × 2000 pounds = 10000 pounds
10000 pounds is greater than 1000 pounds
5 tons > 1,000 pounds

Question 12.
16 pounds _____ 256 ounces

Answer: 16 pounds = 256 ounces

Explanation:

1 pound = 16 ounces
16 pounds = 16 × 16 ounces = 256 ounces
16 pounds = 256 ounces

Question 13.
8 tons _____ 16,000 pounds

Answer: 8 tons = 16,000 pounds

Explanation:

1 ton = 2000 pounds
8 tons = 8 × 2000 pounds = 16,000 pounds
8 tons = 16,000 pounds

Problem Solving

Common Core – New – Page No. 658

Lesson Check

Question 1.
Ann bought 2 pounds of cheese to make lasagna. The recipe gives the amount of cheese needed in ounces. How many ounces of cheese did she buy?
Options:
a. 20 ounces
b. 32 ounces
c. 40 ounces
d. 64 ounces

Answer: 32 ounces

Explanation:

Ann bought 2 pounds of cheese to make lasagna.
1 pound = 16 ounces
2 pounds = 2 × 16 ounces = 32 ounces
So, the answer is option B.

Question 2.
A school bus weighs 7 tons. The weight limit for a bridge is given in pounds. What is the weight of the bus in pounds?
Options:
a. 700 pounds
b. 1,400 pounds
c. 7,000 pounds
d. 14,000 pounds

Answer: 14,000 pounds

Explanation:

A school bus weighs 7 tons. The weight limit for a bridge is given in pounds.
1 ton = 2000 pounds
7 tons = 7 × 2000 pounds
7 tons = 14000 pounds
So, the correct answer is option D.

Spiral Review

Question 3.
What is the measure of m∠EHG?

Options:
a. 60°
b. 100°
c. 120°
d. 130°

Answer: 120°

Explanation:

m∠EHG = m∠EHF + m∠FHG
m∠EHG = 90° + 30° = 120°
m∠EHG = 120°
The correct answer is option C.

Question 4.
How many lines of symmetry does the square below have?

Options:
a. 0
b. 2
c. 4
d. 6

Answer: 4

Explanation:

A square contains 4 right angles.
So, the answer is option C.

Question 5.
To make dough, Reba needs 2 \(\frac{1}{2}\) cups of flour. How much flour does she need to make 5 batches of dough?
Options:
a. 14 \(\frac{1}{2}\) cups
b. 12 \(\frac{1}{2}\) cups
c. 11 \(\frac{1}{2}\) cups
d. 10 \(\frac{1}{2}\) cups

Answer: 12 \(\frac{1}{2}\) cups

Explanation:

To make dough, Reba needs 2 \(\frac{1}{2}\) cups of flour.
5 × 2 \(\frac{1}{2}\)
= 12 \(\frac{1}{2}\) cups
She need 12 \(\frac{1}{2}\) cups of flour to make dough.
So, the correct answer is option B.

Question 6.
Judi’s father is 6 feet tall. The minimum height to ride a rollercoaster is given in inches. How many inches tall is Judi’s father?
Options:
a. 60 inches
b. 66 inches
c. 72 inches
d. 216 inches

Answer: 72 inches

Explanation:

Judi’s father is 6 feet tall. The minimum height to ride a rollercoaster is given in inches.
1 feet = 12 inches
6 feet = 6 × 12 inches = 72 inches
Thus the correct answer is option C.

Page No. 661

Question 1.
Compare the size of a quart to the size of a pint.
Use a model to help.


1 quart is ____ times as much as _____ pint.

Answer: 1 quart is 2 times as much as 1 pint.

Complete.

Question 2.
2 pints = _____ cups

Answer: 4 cups

Explanation:

1 pint = 2 cups
2 pints = 2 × 2 cups = 4 cups
2 pints = 4 cups

Question 3.
3 gallons = _____ quarts

Answer: 12 quarts

Explanation:

1 gallon = 4 quarts
3 gallons = 3 × 4 quarts = 12 quarts
3 gallons = 12 quarts

Question 4.
6 quarts = _____ cups

Answer: 24 cups

Explanation:

1 quart = 4 cups
6 quarts = 6 × 4 cups = 24 cups
6 quarts = 24 cups

Use a model or Tools to complete.

Use Symbols Algebra Compare using >, <, or =.

Question 7.
2 gallons _____ 32 cups

Answer: 2 gallons = 32 cups

Explanation:

1 gallon = 16 cups
2 gallons = 2 × 16 cups = 32 cups
2 gallons = 32 cups

Question 8.
4 pints _____ 6 cups

Answer: 4 pints > 6 cups

Explanation:

1 pint = 2 cups
4 pints = 4 × 2 cups = 8 cups
So, 4 pints > 6 cups

Question 9.
5 quarts _____ 11 pints

Answer: 5 quarts < 11 pints

Explanation:

1 quart = 2 pints
5 quarts = 5 × 2 pints = 10 pints
10 is less than 11 pints
So, 5 quarts < 11 pints

Question 10.
A soccer team has 25 players. The team’s thermos holds 4 gallons of water. If the thermos is full, is there enough water for each player to have 2 cups? Explain. Make a table to help.

________

Answer: Enough water

Gallons	Cups
1	16
2	32
3	48
4	64

Page No. 662

Question 11.
Verify the Reasoning of Others Whose statement makes sense? Whose statement is nonsense? Explain your reasoning.

_______ ’s statement makes sense.

Answer: Angela’s Statement is true. A gallon is 8 times as much as a pint, so 1 pint is 1/8 of a gallon.
Zach’s statement is nonsense. There are 8 pints in a gallon, not 4, so a pint cannot be 1/4 of a gallon.

Question 12.
Peter’s glasses each hold 8 fluid ounces. How many glasses of juice can Peter pour from a bottle that holds 2 quarts?
_____ glasses

Answer: 8 glasses

Explanation:

Peter’s glasses each hold 8 fluid ounces.
There is 32oz per quart. 8 goes into 32 a total of four times. So since there are two quarts, Peter can pour 8 glasses.

Common Core – New – Page No. 663

Customary Units of Liquid Volume

Complete.

Question 1.
6 gallons = 24 quarts
Think: 1 gallon = 4 quarts,
so 6 gallons = 6 × 4 quarts, or 24 quarts

Question 2.
12 quarts = _____ pints

Answer: 24 pints

Explanation:

1 quart = 2 pints
12 quarts = 12 × 2 pints
12 pints = 24 pints

Question 3.
6 cups = _____ fluid ounces

Answer: 48 fluid ounces

Explanation:

1 cup = 8 fluid ounces
6 cups = 6 × 8 fluid ounces = 48 fluid ounces
So, 6 cups = 48 fluid ounces

Question 4.
9 pints = _____ cups

Answer: 18 cups

Explanation:

1 pint = 2 cups
9 pints = 9 × 2 cups = 18 cups
9 pints = 18 cups

Question 7.
3 gallons = _____ cups

Answer: 48 cups

Explanation:

1 gallon = 16 cups
3 gallons = 3 × 16 cups = 48 cups
Therefore 3 gallons = 48 cups

Compare using <, >, or =.

Question 8.
6 pints _____ 60 fluid ounces

Answer: 6 pints > 60 fluid ounces

Explanation:

1 pint = 16 fluid ounces
6 pints = 6 × 16 fluid ounces = 96 fluid ounces
96 fluid ounces is greater than 60 fluid ounces
So, 6 pints > 60 fluid ounces

Question 9.
3 gallons _____ 30 quarts

Answer: 3 gallons < 30 quarts

Explanation:

1 gallon = 4 quarts
3 gallons = 3 × 4 quarts = 12 quarts
12 is less than 30
So, 3 gallons < 30 quarts

Question 10.
5 quarts _____ 20 cups

Answer: 5 quarts = 20 cups

Explanation:

1 quart = 4 cups
5 quarts = 5 × 4 cups = 20 cups
5 quarts = 20 cups

Question 11.
6 cups _____ 12 pints

Answer: 6 cups < 12 pints

Explanation:

1 cup = \(\frac{1}{2}\) pint
6 cups = 6 × \(\frac{1}{2}\) pint = 3 pints
3 is less than 12.
So, 6 cups < 12 pints

Question 12.
8 quarts _____ 16 pints

Answer: 8 quarts = 16 pints

Explanation:

1 quart = 2 pints
8 quarts = 8 × 2 pints = 16 pints
8 quarts = 16 pints

Question 13.
6 gallons _____ 96 pints

Answer: 6 gallons < 96 pints

Explanation:

1 gallon = 8 pints
6 gallons = 6 × 8 pints = 48 pints
48 is less than 96 pints
So, 6 gallons < 96 pints

Problem Solving

Common Core – New – Page No. 664

Lesson Check

Question 1.
Joshua drinks 8 cups of water a day. The recommended daily amount is given in fluid ounces. How many fluid ounces of water does he drink each day?
Options:
a. 16 fluid ounces
b. 32 fluid ounces
c. 64 fluid ounces
d. 128 fluid ounces

Answer: 64 fluid ounces

Explanation:

1 cup = 8 fluid ounces
8 cups = 8 × 8 fluid ounces = 64 fluid ounces
8 cups = 64 fluid ounces
Thus the correct answer is option C.

Question 2.
A cafeteria used 5 gallons of milk in preparing lunch. How many 1-quart containers of milk did the cafeteria use?
Options:
a. 10
b. 20
c. 40
d. 80

Answer: 20

Explanation:

A cafeteria used 5 gallons of milk in preparing lunch.
1 gallon = 4 quarts
5 gallons = 5 × 4 quarts = 20 quarts
5 gallons = 20 quarts
So, the correct answer is option B.

Spiral Review

Question 3.
Roy uses \(\frac{1}{4}\) cup of batter for each muffin. Which list shows the amounts of batter he will use depending on the number of muffins he makes?
Options:
a. \(\frac{1}{4}, \frac{1}{5}, \frac{1}{6}, \frac{1}{7}, \frac{1}{8}\)
b. \(\frac{1}{4}, \frac{2}{4}, \frac{3}{4}, \frac{4}{4}, \frac{5}{4}\)
c. \(\frac{1}{4}, \frac{2}{8}, \frac{3}{12}, \frac{4}{16}, \frac{5}{20}\)
d. \(\frac{1}{4}, \frac{2}{8}, \frac{4}{16}, \frac{6}{24}, \frac{8}{32}\)

Answer: \(\frac{1}{4}, \frac{2}{4}, \frac{3}{4}, \frac{4}{4}, \frac{5}{4}\)

Explanation:

Given that, Roy uses \(\frac{1}{4}\) cup of batter for each muffin.
The amounts of batter he will use depending on the number of muffins he makes is \(\frac{1}{4}, \frac{2}{4}, \frac{3}{4}, \frac{4}{4}, \frac{5}{4}\)
The correct answer is option B.

Question 4.
Beth has \(\frac{7}{100}\) of a dollar. Which shows the amount of money Beth has?
Options:
a. $7.00
b. $0.70
c. $0.07
d. $0.007

Answer: $0.07

Explanation:

Beth has \(\frac{7}{100}\) of a dollar.
The decimal of \(\frac{7}{100}\) = 0.07
The amount of money Beth has is $0.07
So, the answer is option C.

Question 5.
Name the figure that Enrico drew below.

Options:
a. a ray
b. a line
c. a line segment
d. an octagon

Answer: a ray

Explanation:

A part of a line with a start point but no endpoint is called a ray.
The above figure has no endpoint.
So, the answer is option A.

Question 6.
A hippopotamus weighs 4 tons. Feeding instructions are given for weights in pounds. How many pounds does the hippopotamus weigh?
Options:
a. 4,000 pounds
b. 6,000 pounds
c. 8,000 pounds
d. 12,000 pounds

Answer: 8,000 pounds

Explanation:

A hippopotamus weighs 4 tons. Feeding instructions are given for weights in pounds.
We know that 1 ton = 2000 pounds
4 tons = 4 × 2000 pounds = 8000 pounds
Thus the answer is option C.

Page No. 667

Question 1.
A food critic collected data on the lengths of time customers waited for their food. Order the data from least to greatest time. Make a tally table and a line plot to show the data.



Type below:
________

Answer:

Tally Table:

Time Customers waited for Food
Time (in hour)	Tally
\(\frac{1}{2}\)	||
\(\frac{1}{4}\)	|||
\(\frac{3}{4}\)	|
1	|

Line plot:

Use your line plot for 2 and 3.

Question 2.
On how many customers did the food critic collect data?
________

Answer: 7

Explanation:

Number of customers waited for half an hour = 2
Number of customers waited for an hour = 1
Number of customers waited for \(\frac{3}{4}\) of an hour = 1
Number of customers waited for \(\frac{1}{4}\) of an hour = 3
Total number of customers = 2 + 1 + 1 + 3 = 7
The food critic collects data from 7 customers.

Question 3.
What is the difference between the longest time and the shortest time that customers waited?
\(\frac{□}{□}\)

Answer: \(\frac{3}{4}\)

The longest time is 1 hour
And the shortest time is \(\frac{1}{4}\)
1 – \(\frac{1}{4}\) = \(\frac{3}{4}\)

Question 4.
Use Models The data show the lengths of the ribbons Mia used to wrap packages. Make a tally table and a line plot to show the data.



Type below:
________

Answer:

Ribbon used to Wrap Packages
Length (in yards)	Tally
\(\frac{1}{6}\)	|
\(\frac{2}{6}\)	|||
\(\frac{5}{6}\)	|
\(\frac{6}{6}\)	|
\(\frac{3}{6}\)	||

Line plot:

Question 5.
What is the difference in length between the longest ribbon and the shortest ribbon Mia used?
\(\frac{□}{□}\) yard

Answer: \(\frac{5}{6}\) yard

Explanation:

The longest ribbon is \(\frac{6}{6}\) yard
The shortest ribbon is \(\frac{1}{6}\) yard
To find the difference of both the ribbons we have to subtract the shortest ribbon from the longest ribbon
\(\frac{6}{6}\) – \(\frac{1}{6}\) = \(\frac{5}{6}\)

Page No. 668

Question 6.
The line plot shows the distances the students in Mr. Boren’s class ran at the track in miles. Altogether, did the students run more or less than 5 miles?

a. What are you asked to find?
Type below:
________

Answer: If the students ran more or less than 5 miles together.

Question 6.
b. What information do you need to use?
Type below:
________

Answer: I need the information about the distance each student ran.

Question 6.
c. How will the line plot help you solve the problem?
Type below:
________

Answer: With the help of the line plot I can know how far each student ran.

Question 6.
d. What operation will you use to solve the problem?
Type below:
________

Answer: I use addition to solve the problem.

Question 6.
e. Show the steps to solve the problem.
Type below:
________

Answer: \(\frac{1}{5}\) + \(\frac{1}{5}\) + \(\frac{2}{5}\) + \(\frac{2}{5}\) + \(\frac{3}{5}\) + \(\frac{4}{5}\) + \(\frac{4}{5}\) + \(\frac{5}{5}\) = \(\frac{22}{5}\)
The mixed fraction of \(\frac{22}{5}\) is 4 \(\frac{2}{5}\).

Question 6.
Complete the sentences.
The students ran a total of ____ miles.
The distance is ____ than 5 miles. Altogether the students ran ____ than 5 miles.
Type below:
________

Answer: the students ran a total of 4 \(\frac{2}{5}\) miles.
The distance is less than 5 miles. Altogether the students ran less than 5 miles.

Question 7.
Lena collects antique spoons. The line plot shows the lengths of the spoons in her collection. If she lines up all of her spoons in order of size, what is the size of the middle spoon? Explain.

\(\frac{□}{□}\) feet spoon

Answer: \(\frac{4}{4}\) feet
I ordered the data from the least to the greatest value and found the middle value.

Question 8.
A hiking group recorded the distances they hiked. Complete the line plot to show the data.


Type below:
________

Answer:

Common Core – New – Page No. 669

Line Plots

Question 1.
Some students compared the time they spend riding the school bus. Complete the tally table and line plot to show the data.

Time Spent on School Bus
Time (in hour)	Tally
\(\frac{1}{6}\)	||
\(\frac{2}{6}\)	|
\(\frac{3}{6}\)	||||
\(\frac{4}{6}\)	|

Answer:

Use your line plot for 2 and 3.

Question 2.
How many students compared times?
______ students

Answer: 8

Explanation:

Number of students spent \(\frac{1}{6}\) of an hour on school bus = 2
Number of students spent \(\frac{2}{6}\) of an hour on school bus = 1
Number of students spent \(\frac{3}{6}\) of an hour on school bus = 4
Number of students spent \(\frac{4}{6}\) of an hour on school bus = 1
Total number of students = 2 + 1 + 4 + 1 = 8 students

Question 3.
What is the difference between the longest time and shortest time students spent riding the bus?
\(\frac{□}{□}\) hour

Answer: \(\frac{3}{6}\)

Explanation:

Longest time is \(\frac{4}{6}\) and shortest time is \(\frac{1}{6}\)
\(\frac{4}{6}\) – \(\frac{1}{6}\) = \(\frac{3}{6}\)
Thus the difference between the longest time and shortest time students spent riding the bus is \(\frac{3}{6}\)

Problem Solving

For 4–5, make a tally table on a separate sheet of paper.
Make a line plot in the space below the problem.

Question 4.

Answer:

Question 5.

Answer:

Common Core – New – Page No. 670

Lesson Check

Use the line plot for 1 and 2.

Question 1.
How many students were reading during study time?

Options:
a. 5
b. 6
c. 7
d. 8

Answer: 8

Explanation:

By seeing the above line plot we can say that the number of students reading during study time is 8.
So, the correct answer is option D.

Question 2.
What is the difference between the longest time and the shortest time spent reading?
Options:
a. \(\frac{4}{8}\) hour
b. \(\frac{3}{8}\) hour
c. \(\frac{2}{8}\) hour
d. \(\frac{1}{8}\) hour

Answer: \(\frac{3}{8}\) hour

Explanation:

The line plot shows that the shortest time is \(\frac{1}{8}\) hour and the longest time is \(\frac{4}{8}\) hour.
The difference of between the longest time and shortest time spent reading is \(\frac{4}{8}\) – \(\frac{1}{8}\) = \(\frac{3}{8}\) hour
So, the correct answer is option B.

Spiral Review

Question 3.
Bridget is allowed to play online games for \(\frac{75}{100}\) of an hour each day. Which shows that fraction as a decimal?
Options:
a. 75.0
b. 7.50
c. 0.75
d. 0.075

Answer: 0.75

Explanation:

The decimal form of the fraction \(\frac{75}{100}\) is 0.75.
So, the answer is option C.

Question 4.
Bobby’s collection of sports cards has \(\frac{3}{10}\) baseball cards and \(\frac{39}{100}\) football cards. The rest are soccer cards. What fraction of Bobby’s sports cards are baseball or football cards?
Options:
a. \(\frac{9}{100}\)
b. \(\frac{42}{100}\)
c. \(\frac{52}{100}\)
d. \(\frac{69}{100}\)

Answer: \(\frac{69}{100}\)

Explanation:

The way the question is written, there are other possibilities, but it seems to me the simplest possibility is that Bobby has 100 sports cards. If 3/10 are baseball, that’s 30. He has 39 football cards. So for baseball and football together it’s 69 cards.
So, the fraction is of Bobby’s sports cards are baseball or football cards is \(\frac{69}{100}\)
Thus the correct answer is option D.

Question 5.
Jeremy gives his horse 12 gallons of water each day. How many 1-quart pails of water is that?
Options:
a. 24
b. 48
c. 72
d. 96

Answer: 48

Explanation:

Jeremy gives his horse 12 gallons of water each day.
For 1 quart he needs 12 × 4 = 48 gallons of water
So, the answer is option B.

Question 6.
An iguana at a pet store is 5 feet long. Measurements for iguana cages are given in inches. How many inches long is the iguana?
Options:
a. 45 inches
b. 50 inches
c. 60 inches
d. 72 inches

Answer: 60 inches

Explanation:

An iguana at a pet store is 5 feet long. Measurements for iguana cages are given in inches.
1 feet = 12 inches
5 feet = 5 × 12 inches = 60 inches
Thus the answer is option C.

Page No. 671

Question 1.
A _______ is a customary unit used to measure weight.
_______

Answer: Pound

Question 2.
The cup and the _____ are both customary units for measuring liquid volume.
_______

Answer: Pint

Complete the sentence. Write more or less.

Question 3.
A cat weighs _______ than one ounce
____

Answer: more

Explanation:
Pound, unit of avoirdupois weight, equal to 16 ounces
The weigh of the cat is measured in pounds. So, the cat weighs more than one ounce

Question 4.
Serena’s shoe is ______ than one yard long.
____

Answer: Less

The length of the shoe is less when compared to the yard.
So, Serena’s shoe is less than one yard long.

Complete.

Question 7.
4 cups = ____ pints

Answer: 2 pints

Explanation:

1 pint = 2 cups
4 cups = 4 × 1/2 pint = 2 pints
Thus 4 cups = 2 pints

Question 8.
Mrs. Byrne’s class went raspberry picking. The data show the weights of the cartons of raspberries the students picked. Make a tally table and a line plot to show the data.



Type below:
_________

Line plot:

Tally Marks:

Cartons of Raspberries picked
Weight (in pounds)	Tally
\(\frac{1}{4}\)	|||
\(\frac{2}{4}\)	||
\(\frac{3}{4}\)	|||
\(\frac{4}{4}\)	|

Use your line plot for 9 and 10.

Question 9.
What is the difference in weight between the heaviest carton and the lightest carton of raspberries?
\(\frac{□}{□}\) pound

Answer: \(\frac{3}{4}\) pound

Explanation:

The heaviest carton of raspberries is \(\frac{4}{4}\)
The lightest carton of raspberries is \(\frac{1}{4}\)
The difference in weight between the heaviest carton and the lightest carton of raspberries = \(\frac{4}{4}\) – \(\frac{1}{4}\) = \(\frac{3}{4}\) pounds.

Question 10.
How many pounds of raspberries did Mrs. Byrne’s class pick in all?
______ pounds

Answer: 5 pounds

Explanation:

Add total weight of carton of raspberries picked
= \(\frac{1}{4}\) + \(\frac{1}{4}\) + \(\frac{1}{4}\) + \(\frac{2}{4}\) + \(\frac{2}{4}\) + \(\frac{3}{4}\) + \(\frac{3}{4}\) + \(\frac{3}{4}\) + \(\frac{4}{4}\) = 5
Therefore Mrs. Byrne’s class picked 5 pounds of raspberries in all.

Page No. 672

Question 14.
The watering can that Carlos uses in his vegetable garden holds 5 of a certain unit of liquid volume. When full, how much water is in the watering can?

5 ______ of water

Answer: 5 gallons of water
The unit to measure the liquid volume is the gallon. So, the watering can holds 5 gallons of water.

Page No. 675

Complete.

Question 1.
2 meters = _____ centimeters

Answer: 200 centimeters

Explanation:

Convert meters into centimeters
1 meter = 100 centimeters
2 meters = 2 × 100 centimeters = 200 centimeters

Question 2.
3 centimeters = _____ millimeters

Answer: 30 millimeters

Explanation:

Convert the centimeters into millimeters
1 centimeter = 10 millimeters
3 centimeters = 3 × 10 millimeters = 30 millimeters
3 centimeters = 30 millimeters

Question 3.
5 decimeters = _____ centimeters

Answer: 50 centimeters

Explanation:

1 decimeter = 10 centimeters
5 decimeters = 5 × 10 centimeters = 50 centimeters
5 decimeters = 50 centimeters

Use Symbols Algebra Compare using <, >, or =.

Question 6.
6 decimeters _____ 65 centimeters

Answer: 6 decimeters < 65 centimeters

Explanation:

1 decimeter = 10 centimeters
6 decimeters = 6 × 10 centimeters = 60 centimeters
60 is less than 65 centimeters
6 decimeters < 65 centimeters

Question 7.
7 meters _____ 700 millimeters

Answer: 7 meters > 700 millimeters

Explanation:

1 meter = 1000 millimeters
7 meters = 7 × 1000 millimeters = 7000 millimeters
7000 is greater than 700
So, 7 meters > 700 millimeters

Describe the length in meters. Write your answer as a fraction and as a decimal.

Question 8.
65 centimeters = ______ or ______ meter
Type below:
_________

Answer: \(\frac{65}{100}\) or 0.65 meter

Explanation:

The fraction for 65 centimeters is \(\frac{65}{100}\) and the decimal form of the fraction is 0.65 meter

Question 9.
47 centimeters = ______ or ______ meter
Type below:
_________

Answer: \(\frac{47}{100}\) or 0.47 meter

Explanation:

The fraction for 47 centimeters is \(\frac{47}{100}\) and the decimal is 0.47 meter.

Question 10.
9 decimeters = ______ or ______ meter
Type below:
_________

Answer: \(\frac{9}{10}\) or 0.9 meter

Explanation:

The fraction for 9 decimeters is \(\frac{9}{10}\) and the decimal for the fraction is 0.9 meter.

Question 11.
2 decimeters = ______ or ______ meter
Type below:
_________

Answer: \(\frac{2}{10}\) or 0.2 meter

Explanation:

The fraction for 2 decimeters is \(\frac{2}{10}\) and the decimal for the fraction is 0.2 meter.

Page No. 676

Question 14.
Julianne’s desk is 75 centimeters long. She says her desk is 7.5 meters long. Describe her error.
Type below:
_________

Answer: \(\frac{75}{100}\) or 0.75 meter

The fraction form of 75 centimeters is \(\frac{75}{100}\). The decimation for the fraction is 0.75 meter

Question 15.
Write the equivalent measurements in each column.

Type below:
_________

Answer:

5 meters	55 centimeters	50 millimeters
5000 millimeters	55/100 meter	500/1000 meter
500 centimeters	0.55 meter	0.500 meter
50 decimeters	550 millimeters	50 centimeters

Question 16.
Aruna was writing a report on pecan trees. She made the table of information to the right. Write a problem that can be solved by using the data.

Type below:
_________

Answer: The height of the tree is 21m to 30m. How many centimeters is the height of the tree?

Question 16.
Describe how you could change the problem by changing a unit in the problem. Then solve the problem.
Type below:
_________

Answer:

Convert meters into centimeters.
Given that the height of the height is 21 to 30m
1 meter = 100 centimeters
21 meters = 2100 centimeters, 30 meters = 3000 centimeters
So, the height of the tree in centimeters is 2100 to 3000 centimeters.

Common Core – New – Page No. 677

Metric Units of Length

Complete.

Question 1.
4 meters = 400 centimeters
Think: 1 meter = 100 centimeters,
so 4 meters = 4 × 100 centimeters, or 400 centimeters

Question 2.
8 centimeters = ______ millimeters

Answer: 80 millimeters

Explanation:

1 centimeter = 10 millimeters
8 centimeters = 8 × 10 millimeters = 80 millimeters
8 centimeters = 80 millimeters

Question 3.
5 meters = ______ decimeters

Answer: 50 decimeters

Explanation:

We have to convert meters into decimeters
1 meter = 10 decimeters
5 meters = 5 × 10 decimeters = 50 decimeters
5 meters = 50 decimeters

Question 4.
9 meters = ______ millimeters

Answer: 9000 millimeters

Explanation:

You need to convert meters into millimeters
1 meter = 1000 millimeters
9 meters = 9 × 1000 millimeters = 9000 millimeters
9 meters = 9000 millimeters

Question 5.
7 meters = ______ centimeters

Answer: 700 centimeters

Explanation:

Convert meters into centimeters
1 meter = 100 centimeters
7 meters = 7 × 100 centimeters = 700 centimeters
7 meters = 700 centimeters

Compare using <, >, or =.

Question 8.
4 meters ______ 450 centimeters

Answer: 4 meters < 450 centimeters

Explanation:

1 meter = 100 centimeters
4 meters = 400 centimeters
400 centimeters < 450 centimeters
So, 4 meters < 450 centimeters

Question 9.
90 centimeters ______ 9 millimeters

Answer: 90 centimeters > 9 millimeters

Explanation:

1 millimeter = 1/10 centimeters
9 millimeters = 1/90 centimeters
So, 90 centimeters > 9 millimeters

Describe the length in meters. Write your answer as a fraction and as a decimal.

Question 10.
43 centimeters =
Type below:
________

Answer: \(\frac{43}{100}\), 0.43

Explanation:

The fraction of 43 centimeters is \(\frac{43}{100}\). the decimal form of \(\frac{43}{100}\) is 0.43

Question 11.
6 decimeters =
Type below:
________

Answer: \(\frac{6}{10}\), 0.6

Explanation:

The fraction form of 6 decimeters is \(\frac{6}{10}\) and the decimal for the fraction is 0.6

Problem Solving

Question 14.
A flagpole is 4 meters tall. How many centimeters tall is the flagpole?
_____ centimeters

Answer: 400 centimeters

Explanation:

A flagpole is 4 meters tall.
Now we have to convert the meters into centimeters.
We know that
1 meter = 100 centimeters
4 meters = 4 × 100 centimeters = 400 centimeters
Thus the height of the flagpole is 400 centimeters

Question 15.
A new building is 25 meters tall. How many decimeters tall is the building?
_____ decimeters

Answer: 250 decimeters

Explanation:

A new building is 25 meters tall.
We know that 1 meter = 10 decimeters
25 meters = 25 × 10 decimeters = 250 decimeters
The height of the building is 250 decimeters.

Common Core – New – Page No. 678

Lesson Check

Question 1.
A pencil is 15 centimeters long. How many millimeters long is that pencil?
Options:
a. 1.5 millimeters
b. 15 millimeters
c. 150 millimeters
d. 1,500 millimeters

Answer: 150 millimeters

Explanation:

A pencil is 15 centimeters long
1 centimeter = 10 millimeters
15 centimeters = 15 × 10 millimeters = 150 millimeters
15 centimeters = 150 millimeters
So, the correct answer is option C.

Question 2.
John’s father is 2 meters tall. How many centimeters tall is John’s father?
Options:
a. 2,000 centimeters
b. 200 centimeters
c. 20 centimeters
d. 2 centimeters

Answer: 200 centimeters

Explanation:

John’s father is 2 meters tall.
Convert meters to centimeters.
1 meter = 100 centimeters
2 meters = 2 × 100 centimeters = 200 centimeters
The correct answer is option B.

Spiral Review

Question 3.
Bruce reads for \(\frac{3}{4}\) hour each night. How long will he read in 4 nights?
Options:
a. \(\frac{3}{16}\)hours
b. \(\frac{7}{4}\) hours
c. \(\frac{9}{4}\) hours
d. \(\frac{12}{4}\) hours

Answer: \(\frac{12}{4}\) hours

Explanation:

Bruce reads for \(\frac{3}{4}\) hour each night.
Multiply latex]\frac{3}{4}[/latex] hour with 4 = latex]\frac{3}{4}[/latex] × 4 = \(\frac{12}{4}\) hours
Thus the correct answer is option D.

Question 4.
Mark jogged 0.6 mile. Caroline jogged 0.49 mile. Which inequality correctly compares the distances they jogged?
Options:
a. 0.6 = 0.49
b. 0.6 > 0.49
c. 0.6 < 0.49
d. 0.6 + 0.49 = 1.09

Answer: 0.6 > 0.49

Explanation:

Mark jogged 0.6 mile. Caroline jogged 0.49 mile.
0.49 miles is less than 0.6 miles
So, the correct answer is option B.

Use the line plot for 5 and 6.

Question 5.
How many lawns were mowed?
Options:
a. 8
b. 9
c. 10
d. 11

Answer: 11

Explanation:

The line plot shows that the total number lawns = 11
The correct answer is option D.

Question 6.
What is the difference between the greatest amount and the least amount of gasoline used to mow lawns?
Options:
a. \(\frac{6}{8}\) gallon
b. \(\frac{5}{8}\) gallon
c. \(\frac{4}{8}\) gallon
d. \(\frac{3}{8}\) gallon

Answer: \(\frac{4}{8}\) gallon

Explanation:

The greatest amount of gasoline used to mow lawns = \(\frac{5}{8}\)
The least amount of gasoline used to mow lawns = \(\frac{1}{8}\)
\(\frac{5}{8}\) – \(\frac{1}{8}\) = \(\frac{4}{8}\) gallon
The correct answer is option C.

Page No. 680

Question 1.
There are 3 liters of water in a pitcher. How many milliliters of water are in the pitcher?
There are _____ milliliters in 1 liter. Since I am changing from a larger unit to a smaller unit, I can _____ 3 by 1,000 to find the number of milliliters in 3 liters.
So, there are _____ milliliters of water in the pitcher.

Answer: There are 1000 milliliters in 1 liter. Since I am changing from a larger unit to a smaller unit, I can multiply 3 by 1,000 to find the number of milliliters in 3 liters.
So, there are 3000 milliliters of water in the pitcher.

Complete.

Question 2.
4 liters = _____ milliliters

Answer: 4000 milliliters

Explanation:

1 liter = 1000 milliliters
4 liters = 4 × 1000 milliliters = 4000 milliliters
4 liters = 4000 milliliters

Question 3.
6 kilograms = _____ grams

Answer: 6000 grams

Explanation:

1 kilogram = 1000 grams
6 kilograms = 6 × 1000 grams = 6000 grams
6 kilograms = 6000 grams

Complete.

Use Symbols Algebra Compare using <, >, or =.

Question 6.
1 kilogram _____ 900 grams

Answer: 1 kilogram < 900 grams

Explanation:

1 kilogram = 1000 grams
1000 grams is less than 900 grams
1 kilogram < 900 grams

Question 7.
2 liters _____ 2,000 milliliters

Answer: 2 liters = 2,000 milliliters

Explanation:

1 liter = 1000 milliliters
2 liters = 2 × 1000 milliliters = 2000 liters
2 liters = 2,000 milliliters

Look for a Pattern Algebra Complete.

Question 8.

Type below:
_________

Answer:

Liters	Milliters
1	1,000
2	2 × 1,000 = 2,000
3	3 × 1,000 = 3,000
4	4 × 1,000 = 4,000
5	5 × 1,000 = 5,000
6	6 × 1,000 = 6,000
7	7 × 1,000 = 7,000
8	8 × 1,000 = 8,000
9	9 × 1,000 = 9,000
10	10 × 1,000 = 10,000

Question 9.

Type below:
_________

Answer:

Kilograms	Grams
1	1,000
2	2 × 1,000 = 2,000
3	3 × 1,000 = 3,000
4	4 × 1,000 = 4,000
5	5 × 1,000 = 5,000
6	6 × 1,000 = 6,000
7	7 × 1,000 = 7,000
8	8 × 1,000 = 8,000
9	9 × 1,000 = 9,000
10	10 × 1,000 = 10,000

Page No. 681

Question 10.
Frank wants to fill a fish tank with 8 liters of water. How many milliliters is that?

_____ milliliters

Answer: 8000 milliliters

Explanation:

Frank wants to fill a fish tank with 8 liters of water.
Convert liters into milliliters.
1 liter = 1000 milliliters
8 liters = 8 × 1000 milliliters = 8000 milliliters

Question 11.
Kim has 3 water bottles. She fills each bottle with 1 liter of water. How many milliliters of water does she have?
_____ milliliters

Answer: 3000 milliliters

Explanation:

Kim has 3 water bottles. She fills each bottle with 1 liter of water.
Convert liters into milliliters.
1 liter = 1000 milliliters
3 liters = 3 × 1000 milliliters = 3,000 milliliters
She has 3000 milliliters of water.

Question 14.
A 500-gram bag of granola costs $4, and a 2-kilogram bag of granola costs $15. What is the least expensive way to buy 2,000 grams of granola? Explain.
Type below:
_________

Answer:
A 500-gram bag of granola costs $4, and a 2-kilogram bag of granola costs $15.
500-gram bag of granola costs $4
2000 grams = 4 × $4 = $16
2-kilogram bag of granola costs $15.
The Least expensive way to buy 2,000 grams of granola is $15.

Question 15.
Verify the Reasoning of Others The world’s largest apple had a mass of 1,849 grams. Sue said the mass was greater than 2 kilograms. Does Sue’s statement make sense? Explain.
Type below:
_________

Answer:

The world’s largest apple had a mass of 1,849 grams.
Sue said the mass was greater than 2 kilograms.
Their statement of Sue doesn’t make sense because 1,849 grams is less than 2 kilograms.

Page No. 682

Question 16.
Lori bought 600 grams of cayenne pepper and 2 kilograms of black pepper. How many grams of pepper did she buy in all?

a. What are you asked to find?
Type below:
_________

Answer: I am asked to find How many grams of pepper did Lori buy in all.

Question 16.
b. What information will you use?
Type below:
_________

Answer: Number of grams of black pepper and cayenne pepper.

Question 16.
c. Tell how you might solve the problem.
Type below:
_________

Answer: I will solve by adding the weight of both the peppers.

Question 16.
d. Show how you solved the problem.
Type below:
_________

Answer: I solved the problem by converting the kilograms into grams and then add the weight of both the peppers.

Question 16.
e. Complete the sentences.
Lori bought ______ grams of cayenne pepper.
She bought ______ grams of black pepper.
______ + ______ = ______ grams
So, Lori bought ______ grams of pepper in all.
Type below:
_________

Answer:

Lori bought 600 grams of cayenne pepper.
She bought 2000 grams of black pepper.
600 + 2000 = 2600
So, Lori bought 2600 grams of the pepper in all.

Question 17.
Jill has two rocks. One has a mass of 20 grams and the other has a mass of 20 kilograms. Which rock has the greater mass? Explain.
Type below:
_________

Answer:

Jill has two rocks. One has a mass of 20 grams and the other has a mass of 20 kilograms.
To find the greater mass of both the rocks. We have to compare the mass of two rocks.
20 grams is less than 20 kilograms.
The rock of 20 kilograms is having the greater mass.

Question 18.
For numbers 18a–18c, choose Yes or No to tell whether the measurements are equivalent.
a. 5,000 grams and 5 kilograms
i. yes
ii. no

Answer: Yes

Explanation:

1 kilogram = 1000 grams
5 kilograms = 5 × 1000 grams = 5000 grams
So, the above statement is true.

Question 18.
b. 300 milliliters and 3 liters
i. yes
ii. no

Answer: No

Explanation:

1 liter = 1000 milliliters
3 liters = 3000 milliliters
So, the above statement is false.

Question 18.
c. 8 grams and 8,000 kilograms
i. yes
ii. no

Answer: Yes

Explanation:

1 kilogram = 1000 grams
8 kilograms = 8 × 1000 grams = 8000 grams
So, the above statement is true.

Common Core – New – Page No. 683

Metric Units of Mass and Liquid Volume

Complete.

Question 1.
5 liters = 5,000 milliliters
Think: 1 liter 5 1,000 milliliters,
so 5 liters 5 5 × 1,000 milliliters, or 5,000 milliliters

Question 2.
3 kilograms = _____ grams

Answer: 3000 grams

Explanation:

Convert kilograms into grams
1 kilogram = 1000 grams
3 kilograms = 3 × 1000 grams = 3000 grams
3 kilograms = 3000 grams

Question 3.
8 liters = _____ milliliters

Answer: 8000 milliliters

Explanation:

Convert liters to milliliters
1 liter = 1000 milliliters
8 liters = 8 × 1000 milliliters = 8000 milliliters
8 liters = 8000 milliliters

Question 4.
7 kilograms = _____ grams

Answer: 7000 grams

Explanation:

Convert kilograms into grams
1 kilogram = 1000 grams
7 kilograms = 7 × 1000 grams = 7000 grams
7 kilograms = 7000 grams

Question 5.
9 liters = _____ milliliters

Answer: 9000 milliliters

Explanation:

Convert liters to milliliters
1 liter = 1000 milliliters
9 liters = 9 × 1000 milliliters = 9000 milliliters
9 liters = 9000 milliliters

Question 6.
2 liters = _____ milliliters

Answer: 2000 milliliters

Explanation:

Convert liters to milliliters
1 liter = 1000 milliliters
2 liters = 2 × 1000 milliliters = 2000 milliliters
2 liters = 2000 milliliters

Question 7.
6 kilograms = _____ grams

Answer: 6000 grams

Explanation:

Convert kilograms into grams
1 kilogram = 1000 grams
6 kilograms = 6 × 1000 grams = 6000 grams
6 kilograms = 6000 grams

Compare using <, >, or =.

Question 10.
1 kilogram _____ 1,000 grams

Answer: 1 kilogram = 1,000 grams

Explanation:

1 kilogram = 1000 grams
The symbol the above statement is 1 kilogram = 1,000 grams

Question 11.
5 liters _____ 520 milliliters

Answer: 5 liters > 520 milliliters

Explanation:

Convert liters to milliliters
1 liter = 1000 milliliters
5 liters = 5 × 1000 milliliters = 5000 milliliters
5000 milliliters is greater than 520 milliliters
5 liters > 520 milliliters

Problem Solving

Question 12.
Kenny buys four 1-liter bottles of water. How many milliliters of water does Kenny buy?
_____ milliliters

Answer: 4000 milliliters

Explanation:

Kenny buys four 1-liter bottles of water.
4 × 1-liter = 4 liters
Kenny buys 4-liter bottles
Now convert liters into milliliters
1 liter = 1000 milliliters
4 liters = 4 × 1000 milliliters = 4000 milliliters
Kenny bought 4000 milliliters of water.

Question 13.
Mrs. Jones bought three 2-kilogram packages of flour. How many grams of flour did she buy?
_____ grams

Answer: 6000 grams

Explanation:

Mrs. Jones bought three 2-kilogram packages of flour.
That means she buys 6 kilograms of flour.
1 kilogram = 1000 grams
6 kilograms = 6 × 1000 grams = 6000 grams
Mrs. Jones bought 6000 grams of flour.

Question 14.
Colleen bought 8 kilograms of apples and 2.5 kilograms of pears. How many more grams of apples than pears did she buy?
_____ grams

Answer: 5500 grams

Explanation:

Colleen bought 8 kilograms of apples and 2.5 kilograms of pears.
1 kilogram = 1000 grams
8 kilograms = 8 × 1000 grams = 8000 grams
2.5 kilograms = 2.5 × 1000 grams = 2500 grams
8000 grams – 2500 grams = 5500 grams
That means Collen bought 5500 grams of apples than pears.

Question 15.
Dave uses 500 milliliters of juice for a punch recipe. He mixes it with 2 liters of ginger ale. How many milliliters of punch does he make?
_____ milliliters

Answer: 2500 milliliters

Explanation:

Dave uses 500 milliliters of juice for a punch recipe. He mixes it with 2 liters of ginger ale.
1 liter = 1000 milliliters
2 liters = 2 × 1000 milliliters = 2000 milliliters
Add 2000 milliliters from 500 milliliters
2000 milliliters + 500 milliliters = 2500 milliliters
Dave made 2500 milliliters of punch.

Common Core – New – Page No. 684

Lesson Check

Question 1.
During his hike, Milt drank 1 liter of water and 1 liter of sports drink. How many milliliters of liquid did he drink in all?
Options:
a. 20 milliliters
b. 200 milliliters
c. 2,000 milliliters
d. 20,000 milliliters

Answer: 2,000 milliliters

Explanation:

Given,
During his hike, Milt drank 1 liter of water and 1 liter of sports drink.
we have to convert liters into milliliters.
1 liter = 1000 milliliters
2 liters = 2 × 1000 milliliters = 2000 milliliters.
Thus the correct answer is option C.

Question 2.
Larinda cooked a 4-kilogram roast. The roast left over after the meal weighed 3 kilograms. How many grams of roast were eaten during that meal?
Options:
a. 7,000 grams
b. 1,000 grams
c. 700 grams
d. 100 grams

Answer: 1,000 grams

Explanation:

Given that,
Larinda cooked a 4-kilogram roast.
The roast leftover after the meal weighed 3 kilograms.
4 kilogram – 3 kilogram = 1kilogram
Convert kilograms into grams.
1 kilogram = 1000 grams
So, the correct answer is option B.

Spiral Review

Question 3.
Use a protractor to find the angle measure.

Options:
a. 15°
b. 35°
c. 135°
d. 145°

Answer: 145°

Explanation:

By using the protractor we can measure the unknown angle for the above figure.
The angle for the above figure is 145°
The correct answer is option D.

Question 4.
Which of the following shows parallel lines?
Options:
a.
b.
c.
d.

Answer:

Non-intersecting lines are known as parallel lines. From the above figures, we can that option c has nonintersecting lines.
So, the correct answer is option C.

Question 5.
Carly bought 3 pounds of birdseed. How many ounces of birdseed did she buy?
Options:
a. 30 ounces
b. 36 ounces
c. 42 ounces
d. 48 ounces

Answer: 48 ounces

Explanation:

Carly bought 3 pounds of birdseed.
Convert the pounds into ounces.
1 pound = 16 ounces
3 pounds = 3 × 16 ounces = 48 ounces.
Thus Carly bought 48 ounces of birdseed.
The correct answer is option D.

Question 6.
A door is 8 decimeters wide. How wide is the door in centimeters?
Options:
a. 8 centimeters
b. 80 centimeters
c. 800 centimeters
d. 8,000 centimeters

Answer: 80 centimeters

Explanation:

A door is 8 decimeters wide.
1 decimeter = 10 centimeters
8 decimeters = 8 × 10 centimeters = 80 centimeters
The door is 80 centimeters wide.
Thus the correct answer is option B.

Page No. 687

Question 1.
Compare the length of a year to the length of a month.
Use a model to help.


1 year is _____ times as long as _____ month.
Type below:
_______

Answer: 1 year is 12 times as long as 1 month.

Complete.

Question 2.
2 minutes = _____ seconds

Answer: 120 seconds

Explanation:

Convert minutes to seconds.
1 minute = 60 seconds
2 minutes = 2 × 60 seconds = 120 seconds
2 minutes = 120 seconds

Question 3.
4 years = _____ months

Answer: 48 months

Explanation:

Convert year to months
1 year = 12 months
4 years = 4 × 12 months = 48 months
So, 4 years = 48 months

Complete.

Use Symbols Algebra Compare using >, <, or =.

Question 6.
3 years _____ 35 months

Answer: 3 years > 35 months

Explanation:

First of all, you need to convert years to minutes
1 year = 12 months
3 years = 3 × 12 months = 36 months
36 months is greater than 35 months
Thus 3 years > 35 months

Question 7.
2 days _____ 40 hours

Answer: 2 days > 40 hours

Explanation:

Convert days to hours
1 day = 24 hours
2 days = 2 × 24 hours = 48 hours
48 is greater than 40.
So, 2 days > 40 hours

Question 8.
Damien has lived in the apartment building for 5 years. Ken has lived there for 250 weeks. Who has lived in the building longer? Explain. Make a table to help.

_____

Answer:

Given that, Damien has lived in the apartment building for 5 years. Ken has lived there for 250 weeks.

Year	Weeks
1	52
2	104
3	156
4	208
5	260

Damien has lived in the building longer.

Question 9.
How many hours are in a week? Explain.
_____ hours

Answer: 168 hours

Explanation:

Convert week to hours
1 day = 24 hours
1 week = 7 days
7 days = 7 × 24 hours = 168 hours
Therefore there are 168 hours in a week.

Page No. 688

Question 10.
Communicate Explain how you know that 9 minutes is less than 600 seconds.
Type below:
________

Answer:

First, convert minutes to seconds
We know that,
1 minute = 60 seconds
9 minutes = 9 × 60 seconds = 540 seconds.
540 is less than 600 seconds.
Therefore 9 minutes is less than 600 seconds.

Question 11.
Draw lines to match equivalent time intervals. Some intervals might not have a match.

Type below:
________

Answer:

One day is the length of time it takes Earth to make one complete rotation. One year is the time it takes Earth to revolve around the sun. To make the calendar match Earth’s orbit time, there are leap years. Leap years add one extra day to the year. A leap day, February 29, is added to the calendar every four years.

Question 12.
How many days are there in 4 years, if the fourth year is a leap year? Explain. Make a table to help.

_____ days

Answer:

Year	Days
1	365
2	730
3	1095
4	1460
5	1825

Question 13.
Parker was born on February 29, 2008. The second time he is able to celebrate on his actual birthday is in 2016. How many days old will Parker be on February 29, 2016?
_____ days

Answer: 2922 days

Explanation:

Parker was born on February 29, 2008.
The second time he is able to celebrate on his actual birthday is in 2016.
Parker was 8 years old.
There are 2 leap years out of 8 years. There are 366 days in a leap year = 366 × 2 = 732
And multiply 6 years with 365 = 365 × 6 = 2190
2190+ 732 = 2920 days.
Parker will be 2920 days old on February 29, 2016.

Common Core – New – Page No. 689

Units of Time

Complete.

Question 1.
6 minutes = 360 seconds
Think: 1 minute = 60 seconds,
so 6 minutes = 6 × 60 seconds, or 360 seconds

Question 2.
5 weeks = ____ days

Answer: 35 days

Explanation:

1 week = 7 days
5 weeks = 5 × 7 days = 35 days
5 weeks = 35 days

Question 3.
3 years = ____ weeks

Answer: 156 weeks

Explanation:

Convert years to weeks.
1 year = 52 weeks
3 years = 3 × 52 weeks = 156 weeks
3 years = 156 weeks.

Question 4.
9 hours = ____ minutes

Answer: 540 minutes

Explanation:

Convert hours into minutes.
1 hour = 60 minutes
9 hours = 9 × 60 minutes = 540 minutes
9 hours = 540 minutes

Question 5.
9 minutes = ____ seconds

Answer: 540 seconds

Explanation:

Convert minutes to seconds.
1 minute = 60 seconds
9 minutes = 9 × 60 seconds = 540 seconds
9 minutes = 540 seconds

Question 6.
5 years = ____ months

Answer: 60 months

Explanation:

Convert years to months
1 year = 12 months
5 years = 5 × 12 months = 60 months
5 years = 60 months

Question 7.
7 days = ____ hours

Answer: 168 hours

Explanation:

Convert days to hours.
1 day = 24 hours
7 days = 7 × 24 hours = 168 hours
7 days = 168 hours

Compare using <, >, or =.

Question 10.
2 days ____ 48 hours

Answer: 2 days = 48 hours

Explanation:

Convert days to hours
1 day = 24 hours
2 days = 2 × 24 hours = 48 hours
So, 2 days = 48 hours

Question 11.
6 years ____ 300 weeks

Answer: 6 years > 300 weeks

Explanation:

Convert years to weeks.
1 year = 52 weeks
6 years = 6 × 52 weeks = 312 weeks
312 weeks is greater than 300 weeks.
So, 6 years > 300 weeks.

Question 12.
4 hours ____ 400 minutes

Answer: 4 hours < 400 minutes

Explanation:

Convert hours to minutes
1 hour = 60 minutes
4 hours = 4 × 60 minutes = 240 minutes
240 minutes is less than 400 minutes
4 hours < 400 minutes

Question 13.
5 minutes ____ 300 seconds

Answer: 5 minutes = 300 seconds

Explanation:

Convert minutes to seconds.
1 minute = 60 seconds
5 minutes = 5 × 60 seconds = 300 seconds
5 minutes = 300 seconds

Problem Solving

Common Core – New – Page No. 690

Lesson Check

Question 1.
Glen rode his bike for 2 hours. For how many minutes did Glen ride his bike?
Options:
a. 60 minutes
b. 100 minutes
c. 120 minutes
d. 150 minutes

Answer: 120 minutes

Explanation:

Glen rode his bike for 2 hours.
Convert hours to minutes.
1 hour = 60 minutes
2 hours = 2 × 60 minutes = 120 minutes.
Thus the correct answer is option C.

Question 2.
Tina says that vacation starts in exactly 4 weeks. In how many days does vacation start?
Options:
a. 28 days
b. 35 days
c. 42 days
d. 48 days

Answer: 28 days

Explanation:

Tina says that vacation starts in exactly 4 weeks.
Convert weeks to days.
1 week = 7 days
4 weeks = 4 × 7 days = 28 days
So, the correct answer is option A.

Spiral Review

Question 3.
Kayla bought \(\frac{9}{4}\) pounds of apples. What is that weight as a mixed number?
Options:
a. 1 \(\frac{1}{4}\) pounds
b. 1 \(\frac{4}{9}\) pounds
c. 2 \(\frac{1}{4}\) pounds
d. 2 \(\frac{3}{4}\) pounds

Answer: 2 \(\frac{1}{4}\) pounds

Explanation:

Kayla bought \(\frac{9}{4}\) pounds of apples.
The mixed fraction of \(\frac{9}{4}\) is 2 \(\frac{1}{4}\) pounds.
Thus the correct answer is option C.

Question 4.
Judy, Jeff, and Jim each earned $5.40 raking leaves. How much did they earn in all?
Options:
a. $1.60
b. $10.80
c. $15.20
d. $16.20

Answer: $16.20

Explanation:

Judy, Jeff, and Jim each earned $5.40 raking leaves.
= 3 × $5.40 = $16.20
They earned $16.20 in all.
The correct answer is option D.

Question 5.
Melinda rode her bike \(\frac{54}{100}\) mile to the library. Then she rode \(\frac{4}{10}\) mile to the store. How far did Melinda ride her bike in all?
Options:
a. 0.14 mile
b. 0.58 mile
c. 0.94 mile
d. 1.04 miles

Answer: 0.94 mile

Explanation:

Melinda rode her bike \(\frac{54}{100}\) mile to the library.
Then she rode \(\frac{4}{10}\)mile to the store.
The decimal form of \(\frac{54}{100}\) is 0.54 mile
The decimal form of \(\frac{4}{10}\) is 0.40 mile
0.54 + 0.40 = 0.94 mile
Thus the answer is option C.

Question 6.
One day, the students drank 60 quarts of milk at lunch. How many pints of milk did the students drink?
Options:
a. 30 pints
b. 120 pints
c. 240 pints
d. 480 pints

Answer: 120 pints

Explanation:

One day, the students drank 60 quarts of milk at lunch.
1 quart = 2 pints
60 quarts = 60 × 2 pints = 120 pints
The correct answer is option B.

Page No. 693

Question 1.
Evelyn has dance class every Saturday. It lasts 1 hour and 15 minutes and is over at 12:45 p.m. At what time does Evelyn’s dance class begin?

First, write the problem you need to solve.
Type below:
________

Answer: I need to find when Evelyn’s dance class begins.

Question 1.
Next, draw a time line to show the end time and the elapsed time.

Type below:
________

Answer:

Question 1.
Finally, find the start time.
Evelyn’s dance class begins at _________ .
______ A.M.

Answer: 11:30 A.M.

Explanation:

Evelyn has dance class every Saturday. It lasts 1 hour and 15 minutes and is over at 12:45 p.m.
12 hr 45 minutes
-1 hr 15 minutes
11 hr 30 minutes

Thus Evelyn dance class starts at 11:30 A.M.

Question 2.
What if Evelyn’s dance class started at 11:00 a.m. and lasted 1 hour and 25 minutes? At what time would her class end? Describe how this problem is different from Problem 1.
Type below:
________

Answer: 12:25 P.M.

Explanation:

If Evelyn’s dance class started at 11:00 a.m. and lasted 1 hour and 25 minutes.
Then the class ends at 12:25 P.M.
11 hours 0 minutes
+1 hour 25 minutes
12 hour 25 minutes

Question 3.
Beth got on the bus at 8:06 a.m. Thirty-five minutes later, she arrived at school. At what time did Beth arrive at school?
______ a.m.

Answer: 8:41 A.M.

Explanation:

Beth got on the bus at 8:06 a.m.
Thirty-five minutes later, she arrived at school.
8 hour 06 minutes
+ 0 hour 35 minutes
8 hour 41 minutes

Beth arrived to school at 8:41 A.M.

Question 4.
Lyle went fishing for 1 hour and 30 minutes until he ran out of bait at 6:40 p.m. At what time did Lyle start fishing?
______ p.m.

Answer: 5:10 P.M.

Explanation:

Lyle went fishing for 1 hour and 30 minutes until he ran out of bait at 6:40 p.m.
Subtract 1 hour and 30 minutes from 6:40 p.m.
6 hour 40 minutes
-1 hour 30 minutes
5 hour 10 minutes

Lyle starts fishing at 5:10 P.M.

Page No. 694

Question 5.
Mike and Jed went skiing at 10:30 a.m. They skied for 1 hour and 55 minutes before stopping for lunch. At what time did Mike and Jed stop for lunch?
______ p.m

Answer: 12:25 P.M.

Explanation:

Mike and Jed went skiing at 10:30 a.m.
They skied for 1 hour and 55 minutes before stopping for lunch.
Add 1 hour and 55 minutes to 10:30 a.m
10 hour 30 minutes
+1 hour 55 minutes
12 hour 25 minutes
= 12:25 P.M.
Mike and Jed stop for lunch at 12:25 P.M.

Question 6.
Mike can run a mile in 12 minutes. He starts his run at 11:30 am. and runs 4 miles. What time does Mike finish his run?
_____ : _____  _____

Answer: 12:18 P.M

Explanation:

Mike can run a mile in 12 minutes. He starts his run at 11:30 am. and runs 4 miles.
1 mile = 12 minutes
4 miles = 4 × 12 minutes = 48 minutes
Add 48 minutes to 11:30 A.M.
11 hour 30 minutes
0 hour 48 minutes
12 hour 18 minutes

Mike finish his run at 12:18 P.M.

Question 7.
Communicate Explain how you can use a diagram to determine the start time when the end time is 9:00 a.m. and the elapsed time is 26 minutes. What is the start time?
______ a.m.

Answer: 8:34 A.M.

Explanation:

End time = 9:00 A.M.
Elapsed time = 26 minutes
Subtract 26 minutes from 9 hours.
9 hour 00 minutes
-0 hour 26 minutes
8 hour 34 minutes
So, the start time is 8:34 A.M.

Question 8.
Bethany finished her math homework at 4:20 p.m. She did 25 multiplication problems in all. If each problem took her 3 minutes to do, at what time did Bethany start her math homework?
______ p.m.

Answer: 3:05 P.M.

Explanation:

Bethany finished her math homework at 4:20 p.m. She did 25 multiplication problems in all.
If she took 3 minutes to solve each problem then multiply 25 with 3
25 × 3 = 75 minutes = 1 hour 15 minutes
Subtract 1 hour 15 minutes from 4:20 P.M.
4 hour 20 minutes
-1 hour 15 minutes
3 hour 05 minutes

Therefore Bethany started her math homework at 3:05 P.M.

Question 9.
Vincent began his weekly chores on Saturday morning at 11:20 a.m. He finished 1 hour and 10 minutes later. Draw a time line to show the end time.

Vincent finished his chores at _______ p.m.
______ p.m.

Answer: 12:30 P.M.

Explanation:

Vincent began his weekly chores on Saturday morning at 11:20 a.m. He finished 1 hour and 10 minutes later.
Add 1 hour 10 minutes to 11:20 A.M.
11 hour 20 minutes
+1 hour 10 minutes
12 hour 30 minutes
Thus the Endtime is 12:30 P.M.

Common Core – New – Page No. 695

Problem Solving Elapsed Time

Read each problem and solve.

Question 1.
Molly started her piano lesson at 3:45 P.M. The lesson lasted 20 minutes. What time did the piano lesson end?
Think: What do I need to find?
How can I draw a diagram to help?
4:05 P.M.

Question 2.
Brendan spent 24 minutes playing a computer game. He stopped playing at 3:55 P.M and went outside to ride his bike. What time did he start playing the computer game?
______ P.M.

Answer: 3:31 P.M

Explanation:

Brendan spent 24 minutes playing a computer game.
He stopped playing at 3:55 P.M and went outside to ride his bike.
You need to subtract 24 minutes from 3:55 P.M. = 3:31 P.M.

Question 3.
Aimee’s karate class lasts 1 hour and 15 minutes and is over at 5:00 P.M. What time does Aimee’s karate class start?
______ P.M.

Answer: 3:45 P.M

Explanation:

Aimee’s karate class lasts 1 hour and 15 minutes and is over at 5:00 P.M.
You need to subtract 1 hour 15 minutes from 5:00 P.M = 5:00 – 1:15 = 3:45 P.M.
Aimee’s karate class started at 3:45 P.M.

Common Core – New – Page No. 696

Lesson Check

Question 1.
Bobbie went snowboarding with friends at 10:10 A.M. They snowboarded for 1 hour and 43 minutes and then stopped to eat lunch. What time did they stop for lunch?
Options:
a. 8:27 A.M.
b. 10:53 A.M.
c. 11:53 A.M.
d. 12:53 A.M.

Answer: 11:53 A.M.

Explanation:

Bobbie went snowboarding with friends at 10:10 A.M.
They snowboarded for 1 hour and 43 minutes and then stopped to eat lunch.
Add 1 hour and 43 minutes to 10:10 A.M. = 11:53 A.M.
Thus the correct answer is option C.

Question 2.
The Cain family drove for 1 hour and 15 minutes and arrived at their camping spot at 3:44 P.M. What time did the Cain family start driving?
Options:
a. 4:59 P.M.
b. 2:44 P.M.
c. 2:39 P.M.
d. 2:29 P.M.

Answer: 2:29 P.M.

Explanation:

The Cain family drove for 1 hour and 15 minutes and arrived at their camping spot at 3:44 P.M.
Subtract 1 hour and 15 minutes from 3:44 P.M
3:44 P.M. – 1:15 = 2:29 P.M.
The correct answer is option D.

Spiral Review

Question 3.
A praying mantis can grow up to 15 centimeters long. How long is this in millimeters?
Options:
a. 15 millimeters
b. 150 millimeters
c. 1,500 millimeters
d. 15,000 millimeters

Answer: 150 millimeters

Explanation:

A praying mantis can grow up to 15 centimeters long.
Convert centimeters to millimeters
1 centimeter = 10 millimeters
15 centimeters = 15 × 10 millimeters = 150 millimeters
The correct answer is option B.

Question 4.
Thom’s minestrone soup recipe makes 3 liters of soup. How many milliliters of soup is this?
Options:
a. 30 milliliters
b. 300 milliliters
c. 3,000 milliliters
d. 30,000 milliliters

Answer: 3,000 milliliters

Explanation:

Thom’s minestrone soup recipe makes 3 liters of soup.
Convert liters to milliliters.
1 liter = 1000 milliliters
3 liters = 3 × 1000 milliliters = 3,000 milliliters
Thus the correct answer is option C.

Question 5.
Stewart walks \(\frac{2}{3}\) mile each day. Which is a multiple of \(\frac{2}{3}\) ?
Options:
a. \(\frac{4}{3}\)
b. \(\frac{4}{6}\)
c. \(\frac{8}{10}\)
d. \(\frac{2}{12}\)

Answer: \(\frac{4}{6}\)

Explanation:

Stewart walks \(\frac{2}{3}\) mile each day.
\(\frac{2}{3}\) × \(\frac{2}{3}\) = \(\frac{4}{6}\)
The correct answer is option B.

Question 6.
Angelica colored in 0.60 of the squares on her grid. Which of the following expresses 0.60 as tenths in fraction form?
Options:
a. \(\frac{60}{100}\)
b. \(\frac{60}{10}\)
c. \(\frac{6}{100}\)
d. \(\frac{6}{10}\)

Answer: \(\frac{6}{10}\)

Explanation:

Angelica colored in 0.60 of the squares on her grid.
The fraction of 0.60 is \(\frac{6}{10}\)
The correct answer is option D.

Page No. 699

Question 1.
A truck is carrying 2 tons 500 pounds of steel. How many pounds of steel is the truck carrying?
Think of 2 tons 500 pounds as 2 tons + 500 pounds.
Write tons as pounds.

So, the truck is carrying _____ pounds of steel.
______ pounds

Answer: 4,500 pounds

Explanation:

A truck is carrying 2 tons 500 pounds of steel.
Before you add convert tons to pounds.
1 ton = 2000 pounds
2 tons = 2 × 2000 pounds = 4000 pounds
4000 pounds
+500 pounds
4500 pounds
So, the truck is carrying 4500 pounds of steel.

Rewrite each measure in the given unit.

Question 2.
1 yard 2 feet
______ feet

Answer: 5 feet

Explanation:

Convert yard to feet
1 yard = 3 feet
3 feet + 2 feet = 5 feet

Question 3.
3 pints 1 cup
______ cups

Answer: 7 cups

Explanation:

1 pint = 2 cups
3 pints = 3 × 2 cups = 6 cups
6 cups + 1 cup = 7 cups

Question 4.
3 weeks 1 day
______ days

Answer: 22 days

Explanation:

Convert weeks to days.
1 week = 7 days
3 weeks = 21 days
21 days + 1 day = 22 days.

Add or subtract.

Question 5.
2 lb 4 oz
+ 1 lb 6 oz
————–
_____ lb _____ oz

Answer: 3 lb 10 oz

Explanation:

Add 2 lb 4 oz and 1 lb 6 oz

2 lb 4 oz
+ 1 lb 6 oz
3 lb 10 oz

Question 6.
3 gal 2 qt
− 1 gal 3 qt
————–
_____ gal _____ qt

Answer: 1 gal 3 qt

Explanation:

Subtract 1 gal 3 qt from 3 gal 2 qt
Convert gallon to a quart and then borrow to 2 quarts = 6 quarts

3 gal 2 qt
− 1 gal 3 qt
1 gal 3 qt

Question 7.
5 hr 20 min
− 3 hr 15 min
—————–
_____ hr _____ min

Answer: 2 hr 5 min

Explanation:

Subtract 3 hr 15 min from 5 hr 20 min

5 hr 20 min
− 3 hr 15 min
2 hr 5 min

Rewrite each measure in the given unit.

Question 8.
1 hour 15 minutes
_____ minutes

Answer: 75 minutes

Explanation:

Convert hours to minutes.
1 hour = 60 minutes
60 minutes + 15 minutes = 75 minutes

Question 9.
4 quarts 2 pints
_____ pints

Answer: 10 pints

Explanation:

Convert quart to pints
1 quart = 2 pints
4 quarts = 8 pints
8 pints + 2 pints = 10 pints

Question 10.
10 feet 10 inches
_____ inches

Answer: 130 inches

Explanation:

Convert feet to inches
1 feet = 12 inches
10 feet = 10 × 12 inches = 120 inches
120 inches + 10 inches = 130 inches

Add or subtract.

Question 11.
2 tons 300 lb
– 1 ton 300 lb
—————–
_____ ton(s) _____ lb

Answer: 1ton

Explanation:

Subtract 1 ton 300 lb from 2 tons 300 lb

2 tons 300 lb
– 1 ton 300 lb
1ton 0 lb

Question 12.
10 gal 8 c
+ 8 gal 9 c
—————–
_____ gal _____ c

Answer: 19 gal 1 c

Explanation:

Add 10 gal 8 c and 8 gal 9 c
Convert cups to gallon
17 cups = 1 gal 1 cup

10 gal 8 c
+ 8 gal 9 c
18 gal 17 c = 19 gal 1 c

Question 13.
7 lb 6 oz
− 2 lb 12 oz
—————–
_____ lb _____ oz

Answer: 4 lb 10 oz

Explanation:

Subtract 2 lb 12 oz from 7 lb 6 oz
1 lb = 16 oz
Borrow 16 oz to ones place.
7 lb 6 oz

6 lb 22 oz
− 2 lb 12 oz
4 lb 10 oz

Question 14.
Apply Ahmed fills 6 pitchers with juice. Each pitcher contains 2 quarts 1 pint. How many pints of juice does he have in all?
_____ pints of juice

Answer: 30 pints of juice

Explanation:

Apply Ahmed fills 6 pitchers with juice. Each pitcher contains 2 quarts 1 pint.
Convert quarts to pints.
1 quart = 2 pint
2 quarts = 2 × 2 pint = 4 pints
2 quarts 1 pint = 4 pints + 1 pint = 5 pints
5 pints × 6 pitchers = 30 pints of juice.

Question 15.
Sense or Nonsense? Sam and Dave each solve the problem at the right. Sam says the sum is 4 feet 18 inches. Dave says the sum is 5 feet 6 inches. Whose answer makes sense? Whose answer is nonsense? Explain.
2 ft 10 in.
+ 2 ft 8 in.
—————-
Type below:
_________

Answer: The answer of Dave and Sam makes sense. Because 4 feet 18 inches and 5 feet 6 inches are the same.
Convert feet to inches
1 feet = 12 inches
4 feet 18 inches = 5 feet 6 inches.

Question 16.
Jackson has a rope 1 foot 8 inches long. He cuts it into 4 equal pieces. How many inches long is each piece?
______ inches

Answer: 5 inches

Explanation:

Jackson has a rope 1 foot 8 inches long. He cuts it into 4 equal pieces.
Convert feet to inches
1 feet = 12 inches
12 inches + 8 inches = 20 inches
20 ÷ 4 = 5 inches.
Therefore there are 5 inches in each piece.

Page No. 700

Question 17.
Theo is practicing for a 5-kilometer race. He runs 5 kilometers every day and records his time. His normal time is 25 minutes 15 seconds. Yesterday it took him only 23 minutes 49 seconds. How much faster was his time yesterday than his normal time?

a. What are you asked to find?
Type below:
_________

Answer: I am asked to find how much faster was his time yesterday than his normal time.

Question 17.
b. What information do you know?
Type below:
_________

Answer: I know the information about his normal time and the time he took to run yesterday.

Question 17.
c. How will you solve the problem?
Type below:
_________

Answer: I will solve this problem by subtracting the time taken by him yesterday from normal time.
25 minutes 15 seconds
-23 minutes 49 seconds

Question 17.
d. Solve the problem.
Type below:
_________

Answer:

25 minutes 15 seconds
-23 minutes 49 seconds
1 minute 26 seconds     

Question 17.
e. Fill in the sentence.
Yesterday, Theo ran 5 kilometers in a time that was ______ faster than his normal time.
_____ min _____ sec

Answer: 1 min 26 sec

Question 18.
Don has 5 pieces of pipe. Each piece is 3 feet 6 inches long. If Don joins the pieces end to end to make one long pipe, how long will the new pipe be?
_____ ft _____ in

Answer: 17 ft 6 in.

Explanation:

Don has 5 pieces of pipe. Each piece is 3 feet 6 inches long.
5 pieces = 5 × 3 feet 6 inches
= 15 feet 30 inches
1 feet = 12 inches
30 inches = 2 feet 6 inches
15 feet 30 inches = 17 feet 6 inches
The new pipe will be 17 feet 6 inches long.

Question 19.
Ana mixes 2 quarts 1 pint of apple juice and 1 quart 3 cups of cranberry juice. Will her mixture be able to fit in a 1 gallon pitcher? Explain.
Type below:
_________

Answer: Yes

Ana mixes 2 quarts 1 pint of apple juice and 1 quart 3 cups of cranberry juice.
We should convert it into gallons.
Before that convert pint to cups.
1 pint = 2 cups
2 quarts 1 pint = 2 quarts 2 cups

2 quarts 2 cups
1 quart 3 cups
3 quart 5 cups

1 quart = 4 cups
5 cups = 1 quart 1 cup
3 quart 5 cups = 4 quart 1 cup
Now we can convert 4 quarts 1 cup into gallons.
1 gallon = 4 quarts
1 gallon 1 cup.

Common Core – New – Page No. 701

Mixed Measures

Complete.

Question 1.
8 pounds 4 ounces = 132 ounces
Think: 8 pounds = 8 × 16 ounces, or 128 ounces.
128 ounces + 4 ounces = 132 ounces

Question 2.
5 weeks 3 days = _____ days

Answer: 38 days

Explanation:

Convert weeks to days
1 week = 7 days
5 weeks = 5 × 7 days = 35 days
35 days + 3 days = 38 days

Question 3.
4 minutes 45 seconds = _____ seconds

Answer: 285 seconds

Explanation:

Convert minutes to seconds
1 minute = 60 seconds
4 minutes = 4 × 60 seconds = 240 seconds
240 seconds + 45 seconds = 285 seconds

Question 4.
4 hours 30 minutes = _____ minutes

Answer: 270 minutes

Explanation:

Convert hours to minutes
1 hour = 60 minutes
4 hours = 4 × 60 minutes = 240 minutes
240 minutes + 30 minutes = 270 minutes

Add or subtract.

Question 8.
9 gal 1 qt
+ 6 gal 1 qt
—————
______ gal ______ qt

Answer: 15 gal 2 qt

Explanation:

9 gal + 6 gal = 15 gal
1 qt + 1 qt = 2qt

9 gal 1 qt
+ 6 gal 1 qt
15 gal 2 qt

Question 9.
12 lb 5 oz
– 7 lb 10 oz
—————
______ lb ______ oz

Answer: 4 lb 11 oz

Explanation:

21 oz – 10 oz = 11 oz
11 lb – 7 lb = 4 lb

12 lb 5 oz
– 7 lb 10 oz
4 lb 11 oz

Question 10.
8 hr 3 min
+ 4 hr 12 min
—————
______ hr ______ min

Answer: 12 hr 15 min

Explanation:

8 hr + 4 hr = 12 hr
3 min + 12 min = 15 min

8 hr 3 min
+ 4 hr 12 min
12 hr 15 min

Problem Solving

Question 11.
Michael’s basketball team practiced for 2 hours 40 minutes yesterday and 3 hours 15 minutes today. How much longer did the team practice today than yesterday?
______ minutes

Answer: 35 minutes

Explanation:

Michael’s basketball team practiced for 2 hours 40 minutes yesterday and 3 hours 15 minutes today.
3 hours 15 minutes
– 2 hours 40 minutes
0 hours 35 minutes

Question 12.
Rhonda had a piece of ribbon that was 5 feet 3 inches long. She removed a 5-inch piece to use in her art project. What is the length of the piece of ribbon now?
______ feet ______ inches

Answer: 4 feet 10 inches

Explanation:

Rhonda had a piece of ribbon that was 5 feet 3 inches long. She removed a 5-inch piece to use in her art project.
5 feet 3 inches
– 0 feet 5-inch

1 feet = 12 inches
12 inches – 5 inches = 7 inches
5 feet 3 inches
– 0 feet 5-inch
4 feet 10 inches

Common Core – New – Page No. 702

Lesson Check

Question 1.
Marsha bought 1 pound 11 ounces of roast beef and 2 pounds 5 ounces of corned beef. How much more corned beef did she buy than roast beef?
Options:
a. 16 ounces
b. 10 ounces
c. 7 ounces
d. 6 ounces

Answer: 10 ounces

Explanation:

Marsha bought 1 pound 11 ounces of roast beef and 2 pounds 5 ounces of corned beef.
Subtract 1 pound 11 ounces of roast beef from 2 pounds 5 ounces of corned beef.
2 pounds 5 ounces
1 pound 11 ounces
0 pound 10 ounces
Thus the correct answer is option B.

Question 2.
Theodore says there are 2 weeks 5 days left in the year. How many days are left in the year?
Options:
a. 14 days
b. 15 days
c. 19 days
d. 25 days

Answer: 19 days

Explanation:

Theodore says there are 2 weeks 5 days left in the year.
Convert weeks to days.
1 week = 7 days
2 weeks = 14 days
14 days + 5 days = 19 days.
So, the correct answer is option C.

Spiral Review

Question 3.
On one grid, 0.5 of the squares are shaded. On another grid, 0.05 of the squares are shaded. Which statement is true?
Options:
a. 0.05 > 0.5
b. 0.05 = 0.5
c. 0.05 < 0.5
d. 0.05 + 0.5 = 1.0

Answer: 0.05 < 0.5

Explanation:

Given,
On one grid, 0.5 of the squares are shaded.
On another grid, 0.05 of the squares are shaded.
0.5 is greater than 0.05
So, the answer is option C.

Question 4.
Classify the triangle shown below.

Options:
a. right
b. acute
c. equilateral
d. obtuse

Answer: right

Explanation:

The above figure is the right angle triangle.
So, the correct answer is option A.

Question 5.
Sahil’s brother is 3 years old. How many weeks old is his brother?
Options:
a. 30 weeks
b. 36 weeks
c. 90 weeks
d. 156 weeks

Answer: 156 weeks

Explanation:

Sahil’s brother is 3 years old.
Convert years to weeks.
1 year = 52 weeks
3 years = 3 × 52 = 156 weeks.
Therefore the correct answer is option D.

Question 6.
Sierra’s swimming lessons last 1 hour 20 minutes. She finished her lesson at 10:50 A.M. At what time did her lesson start?
Options:
a. 9:30 A.M.
b. 9:50 A.M.
c. 10:30 A.M.
d. 12:10 A.M.

Answer: 9:30 A.M.

Explanation:

Sierra’s swimming lessons last 1 hour 20 minutes. She finished her lesson at 10:50 A.M.
10 hour 50 minutes
– 1 hour 20 minutes
9 hours 30 minutes
9:30 A.M.
So, the correct answer is option A.

Page No. 705

Question 1.
The table shows a pattern for two units of time. Label the columns of the table with the units of time.
Think: What unit of time is 24 times as great as another unit?

Type below:
________

Answer: Days, Hours
The conversion of the day to hours is
1 day = 24 hours.

Day	Hours
1	24
2	48
3	72
4	96

Each table shows a pattern for two customary units. Label the columns of the table.

Question 2.

Type below:
________

Answer: Pint, Cups
1 pint = 2 Cups
So, the label for the above table is:

Pint	Cups
1	2
2	4
3	6
4	8
5	10

Question 3.

Type below:
________

Answer: Pound, Ounces
Conversion of pounds to ounces is 1 pound = 16 ounces

Pound	Ounces
1	16
2	32
3	48
4	64
5	80

Each table shows a pattern for two customary units. Label the columns of the table.

Question 4.

Type below:
________

Answer: Yard, Inches
1 yard = 36 inches

Yard	Inches
1	36
2	72
3	108
4	144
5	180

Question 5.

Type below:
________

Answer: Feet, Inches
1 Feet = 12 inches

Feet	Inches
1	12
2	24
3	36
4	48
5	60

Each table shows a pattern for two metric units of length. Label the columns of the table.

Question 6.

Type below:
________

Answer: Decimeter, Centimeter, and Centimeter, Millimeter

1 decimeter = 10 centimeters
1 centimeter = 10 millimeters

Label for Decimeter and Centimeter:

Decimeter	Centimeter
1	10
2	20
3	30
4	40
5	50

Label for Centimeter and Millimeter:

Centimeter	Millimeter
1	10
2	20
3	30
4	40
5	50

Question 7.

Type below:
________

Answer: Meter, Centimeter

1 meter = 100 centimeters,

Label for Meter and Centimeter is:

Meter	Centimeter
1	100
2	200
3	300
4	400
5	500

Question 8.
List the number pairs for the table in Exercise 6. Describe the relationship between the numbers in each pair.

Answer: There are 8 pairs for the table.
The relationship for the first pair is Day, Hour.
The relationship for the second pair is Pound, Ounces.
The relationship for the third pair is Yard, Inches.
The relationship for the fourth pair is Feet, inches.
The relationship for the fifth pair is Decimeter, Centimeter.
The relationship for the sixth pair is Centimeter, Millimeter.
The relationship for the seventh pair is Meter, Centimeter.

Page No. 706

Question 9.
What’s the Error? Maria wrote Weeks as the label for the first column of the table and Years as the label for the second column. Describe her error.

Type below:
________

Answer: The error of Maria is she didn’t write the name for the pair of table.

Year	Weeks
1	52
2	104
3	156
4	208
5	260

Question 10.
Verify the Reasoning of Others The table shows a pattern for two metric units. Lou labels the columns Meters and Millimeters. Zayna labels them Liters and Milliliters. Whose answer makes sense? Whose answer is nonsense? Explain.

Type below:
________

Answer: Both Lou and Zayna labels are correct but they didn’t name the pair of units.

Meters	Millimeters
1	1000
2	2000
3	3000
4	4000
5	5000

Liters	Milliliters
1	1000
2	2000
3	3000
4	4000
5	5000

Question 11.
Look at the following number pairs: 1 and 365, 2 and 730, 3 and 1,095. The number pairs describe the relationship between which two units of time? Explain.
____ ____

Answer:

Year	Days
1	12
2	24
3	36

Question 12.
The tables show patterns for some units of measurement. Write the correct labels in each table.

Type below:
________

Answer:

The suitable units the first table is

Feet	Inches
1	12
2	24
3	36
4	48

The suitable units the second table is

Day	Hours
1	24
2	48
3	72
4	96

The suitable units the third table is

Gallon	Quarts
1	4
2	8
3	12
4	16

Common Core – New – Page No. 707

Patterns in Measurement Units

Each table shows a pattern for two customary units of time or volume. Label the columns of the table.

Question 1.

Question 2.

__________	__________
1	12
2	24
3	36
4	48
5	60

Answer:

Years	Months
1	12
2	24
3	36
4	48
5	60

Question 3.

__________	__________
1	2
2	4
3	6
4	8
5	10

Answer:

Pints	Cups
1	2
2	4
3	6
4	8
5	10

Question 4.

__________	__________
1	7
2	14
3	21
4	28
5	35

Answer:

Weeks	Days
1	7
2	14
3	21
4	28
5	35

Problem Solving

Use the table for 5 and 6.

Question 5.
Marguerite made the table to compare two metric measures of length. Name a pair of units Marguerite could be comparing.
1 _________
= 10 _________

Answer: The pair of units for the above table is Centimeters, Millimeters.

Question 6.
Name another pair of metric units of length that have the same relationship.
1 _________
= 10 _________

Answer: Another pair of metric units of length are Meters, Decimeters.

Common Core – New – Page No. 708

Lesson Check

Question 1.
Joanne made a table to relate two units of measure. The number pairs in her table are 1 and 16, 2 and 32, 3 and 48, 4 and 64. Which are the best labels for
Joanne’s table?
Options:
a. Cups, Fluid Ounces
b. Gallons, Quarts
c. Pounds, Ounces
d. Yards, Inches

Answer: Pounds, Ounces

Explanation:

Joanne made a table to relate two units of measure. The number pairs in her table are 1 and 16, 2 and 32, 3 and 48, 4 and 64.
The label for Joanna’s table is pounds and ounces.
Thus the correct answer is option C.

Question 2.
Cade made a table to relate two units of time. The number pairs in his table are 1 and 24, 2 and 48, 3 and 72, 4 and 96. Which are the best labels for Cade’s table?
Options:
a. Days, Hours
b. Days, Weeks
c. Years, Months
d. Years, Weeks

Answer: Days, Hours

Explanation:

Cade made a table to relate two units of time. The number pairs in his table are 1 and 24, 2 and 48, 3 and 72, 4 and 96.
The label for Joanna’s table is Days and Hours.
The correct answer is option B.

Spiral Review

Question 3.
Anita has 2 quarters, 1 nickel, and 4 pennies. Write Anita’s total amount as a fraction of a dollar
Options:
a. \(\frac{39}{100}\)
b. \(\frac{54}{100}\)
c. \(\frac{59}{100}\)
d. \(\frac{84}{100}\)

Answer: \(\frac{59}{100}\)

Question 4.
The minute hand of a clock moves from 12 to 6. Which describes the turn the minute hand makes?
Options:
a. \(\frac{1}{4}\) turn
b. \(\frac{1}{2}\) turn
c. \(\frac{3}{4}\) turn
d. 1 full turn

Answer: \(\frac{1}{2}\) turn

Explanation:

The minute hand of a clock moves from 12 to 6.
If the minute hand move from 12 to 6 then the fraction of the turn is \(\frac{1}{2}\)
Thus the correct answer is option B.

Question 5.
Roderick has a dog that has a mass of 9 kilograms. What is the mass of the dog in grams?
Options:
a. 9 grams
b. 900 grams
c. 9,000 grams
d. 90,000 grams

Answer: 9,000 grams

Explanation:

Roderick has a dog that has a mass of 9 kilograms.
Convert kilograms to grams.
1 kilogram = 1000 grams
9 kilograms = 9 × 1000 grams = 9000 grams
Therefore the correct answer is option C.

Question 6.
Kari mixed 3 gallons 2 quarts of lemon lime drink with 2 gallons 3 quarts of pink lemonade to make punch. How much more lemon-lime drink did Kari use than pink lemonade?
Options:
a. 3 quarts
b. 4 quarts
c. 1 gallon 1 quart
d. 1 gallon 2 quarts

Answer: 3 quarts

Explanation:

Kari mixed 3 gallons 2 quarts of lemon-lime drink with 2 gallons 3 quarts of pink lemonade to make punch.
Kari used 3 quarts of pink lemonade more to make punch.
The correct answer is option A.

Common Core – New – Page No. 709

Question 1.
Mrs. Miller wants to estimate the width of the steps in front of her house. Select the best benchmark for her to use.
Options:
a. her fingertip
b. the thickness of a dime
c. the width of a license plate
d. how far she can walk in 20 minutes

Answer: the thickness of a dime

Question 2.
Franco played computer chess for 3 hours. Lian played computer chess for 150 minutes. Compare the times spent playing computer chess. Complete the sentence.
_____ played for _____ minutes longer than _____.

Answer: Franco played for 30 minutes longer than Lian.

Question 3.
Select the measures that are equal. Mark all that apply.
Options:
a. 6 feet
b. 15 yards
c. 45 feet
d. 600 inches
e. 12 feet
f. 540 inches

Answer: B, F; C, F

The measure of 15 yards = 45 feet = 540 inches

Page No. 710

Question 5.
Josh practices gymnastics each day after school. The data shows the length of time Josh practiced gymnastics for 2 weeks.

Part A
Make a tally table and line plot to show the data.

Type below:
_________

Answer:

Time Practicing Gymnastics
Time (in hours)	Tally
\(\frac{1}{2}\)	|
\(\frac{1}{4}\)	||
\(\frac{3}{4}\)	|||
1	||||

Line Plot:

Question 5.
Part B
Explain how you used the tally table to label the numbers and plot the Xs.
Type below:
_________

Answer: By using the tally marks table I have plotted the X’s on the line plot. Based on the tally of each fraction I have plotted X on the point.

Question 5.
Part C
What is the difference between the longest time and shortest time Josh spent practicing gymnastics?
\(\frac{□}{□}\) hour

Answer:

The longest time is 1
The shortest time is \(\frac{1}{4}\)
1 – \(\frac{1}{4}\) = \(\frac{3}{4}\)
Thus the difference between the longest time and shortest time Josh spent practicing gymnastics is \(\frac{3}{4}\)

Question 6.
Select the correct word to complete the sentence.
Juan brings a water bottle with him to soccer practice.
A full water bottle holds of water.
_________

Answer: A full water bottle holds 1 liter of water

Page No. 711

Question 7.
Write the symbol that compares the weights correctly.

128 ounces ____ 8 pounds
8,000 pounds ____ 3 tons

Answer:

i. 128 ounces ____ 8 pounds

1 pound = 16ounces
8 pounds = 8 × 16 ounces = 128 ounces
Thus 128 ounces = 8 pounds

ii. 8,000 pounds ____ 3 tons

1 ton = 2000 pounds
4 tons = 4 × 2000 pounds = 8000 pounds
8000 pounds is greater than 6000 pounds
So, 8,000 pounds > 3 tons

Question 9.
A sack of potatoes weighs 14 pounds and 9 ounces. After Wendy makes potato salad for a picnic, the sack weighs 9 pounds 14 ounces. What is the weight of the potatoes Wendy used for the potato salad? Write the numbers to show the correct subtraction.


____ pounds ____ ounces

Answer: 4 pounds 11 ounces

14 pounds 9 ounces
-9 pounds 14 ounces
Borrow 1 pound to ones place to subtract 11 ounces
1 pound = 16 ounces
16 + 9 = 25 ounces

13 pounds 25 ounces
-9 pounds 14 ounces
4 pounds 11 ounces

Question 10.
Sabita made this table to relate two customary units of liquid volume.

Part A
List the number pairs for the table. Then describe the relationship between the numbers in each pair.
Type below:
________

Answer: The relationship between the numbers in each pair is Pint, Cups.

Question 10.
Part B
Label the columns of the table. Explain your answer.
Type below:
________

Answer:

Pint	Cups
1	2
2	4
3	6
4	8
5	10

Page No. 712

Question 11.
The table shows the distances some students swam in miles. Complete the line plot to show the data.

Answer:

What is the difference between the longest distance and the shortest distance the students swam?
\(\frac{□}{□}\) mile

Answer: \(\frac{4}{8}\) mile

Explanation:

The longest distance = \(\frac{5}{8}\) mile
The shortest distance = \(\frac{1}{8}\) mile
\(\frac{5}{8}\) – \(\frac{1}{8}\) = \(\frac{4}{8}\) mile
The difference between the longest distance and the shortest distance the students swam is \(\frac{4}{8}\) mile.

Question 13.
Katia bought two melons. She says the difference in mass between the melons is 5,000 grams. Which two melons did Katia buy?
Options:
a. watermelon: 8 kilograms
b. cantaloupe: 5 kilograms
c. honeydew: 3 kilograms
d. casaba melon: 2 kilograms
e. crenshaw melon: 1 kilogram

Answer: cantaloupe: 5 kilograms

Katia bought two melons. She says the difference in mass between the melons is 5,000 grams.
She bought cantaloupe: 5 kilograms.
The correct answer is option B.

Question 14.
Write the equivalent measurements in each column.

Type below:
________

Answer:

3 meters	35 centimeters	300 millimeters
3,000 millimeters	35/100 meter	300/1000 meter
300 centimeters	0.35 meter	0.300 meter
30 decimeters	350 millimeters	30 centimeters

Page No. 713

Question 15.
Cheryl is making a mixed fruit drink for a party. She mixes 7 pints each of apple juice and cranberry juice. How many fluid ounces of mixed fruit drink does Cheryl make?
______ fluid ounces

Answer: 224 fluid ounces

Explanation:

Cheryl is making a mixed fruit drink for a party. She mixes 7 pints each of apple juice and cranberry juice.
We need to convert pints into fluid ounces
We know that, 1 pint = 32 fluid ounces
7 pints = 7 × 32 fluid ounces = 224 fluid ounces.
Therefore Cheryl makes 224 fluid ounces of mixed fruit drink.

Question 16.
Hamid’s soccer game will start at 11:00 a.m., but the players must arrive at the field three-quarters of an hour early to warm up. The game must end by 1:15 p.m.
Part A
Hamid says he has to be at the field at 9:45 a.m. is Hamid correct? Explain your answer.
______

Answer: No

Explanation:

Their statement of Hamid is wrong. Because Hamid’s soccer game starts at 10:15 A.M.

Question 16.
Part B
The park closes at 6:30 p.m. There is a 15-minute break between each game played at the park, and each game takes the same amount of time as Hamid’s soccer game. How many more games can be played before the park closes? Explain your answer.
______ more games

Answer: 2 more games

Explanation:

Given that,
The park closes at 6:30 p.m.
There is a 15-minute break between each game played at the park, and each game takes the same amount of time as Hamid’s soccer game.
The game starts at 11:00 A.M and ends at 1:15 P.M.
After completion of the game, they will take a break for 15 minutes.
So, game starts at 1:30 P.M or 2:00 P.M. and ends at 4:15 P.M.
By this, we can say that 2 more games can be played before the park closes.

Question 17.
For numbers 17a–17e, select Yes or No to tell whether the measurements are equivalent.
a. 7,000 grams and 7 kilograms
i. yes
ii. no

Answer: Yes

Explanation:

1 kilogram = 1000 grams
7 kilograms = 7 × 1000 grams = 7000 grams.
Thus the above statement is true.

Question 17.
b. 200 milliliters and 2 liters
i. yes
ii. no

Answer: No

Explanation:

1 liter = 1000 milliliters
2 liters = 2000 milliliters
So, the above statement is not correct.

Question 17.
c. 6 grams and 6,000 kilograms
i. yes
ii. no

Answer: No

Explanation:

1 kilogram = 1000 grams
6 kilograms = 6 × 1000 grams = 6000 grams.
Thus the above statement is true.

Question 17.
d. 5 liters and 5,000 milliliters
i. yes
ii. no

Answer: Yes

Explanation:

1 liter = 1000 milliliters
5 liters = 5000 milliliters
Thus the above statement is true.

Question 17.
e. 2 milliliters and 2,000 liters
i. yes
ii. no

Answer: No

Explanation:

1 liter = 1000 milliliters
2 liters = 2000 milliliters
the above statement is false.

Page No. 714

Question 18.
Draw lines to match equivalent time intervals.

Answer:

Question 19.
Anya arrived at the library on Saturday morning at 11:10 a.m. She left the library 1 hour 20 minutes later. Draw a time line to show the end time.

Anya left the library at _____ P. M.

Question 20.
The tables show patterns for some units of measurement. Write the correct labels in each table.

Answer: Yard, Feet; Week, days; Quart, Cups.

The label for the first table is:

Yard	Feet
1	3
2	6
3	9
4	12

The label for the second table is:

Week	Days
1	7
2	14
3	21
4	28

The label for the third table is:

Quart	Cups
1	4
2	8
3	12
4	16

 

Question 22.
Frankie is practicing for a 5-kilometer race. His normal time is 31 minutes 21 seconds. Yesterday it took him only 29 minutes 38 seconds.
How much faster was Frankie yesterday than his normal time?
Type below:
________

Answer: 1 minute 43 seconds

Explanation:

Frankie is practicing for a 5-kilometer race.
His normal time is 31 minutes 21 seconds. Yesterday it took him only 29 minutes 38 seconds.
Subtract 29 minutes 38 seconds from 31 minutes 21 seconds
31 minutes 21 seconds
29 minutes 38 seconds
1 minute 43 seconds

Page No. 719

Question 1.
Find the perimeter of the rectangle.

The perimeter is _______ feet.
_____ ft

Answer: 24 ft.

Explanation:

The length of the rectangle = 8 ft.
The width of the rectangle = 4 ft.
The formula for the perimeter of the rectangle is 2 (l + w)
= 2 (8 ft. + 4 ft.) = 2(12 ft.) = 24 ft.
The perimeter of the rectangle = 24 ft.

Find the perimeter of the rectangle or square.

Question 2.

P = _____ yards

Answer: 40 yards

Explanation:

The length of the rectangle = 16 yards
The width of the rectangle = 4 yards
The formula for the perimeter of the rectangle is 2 (l + w)
= 2 (16 yards + 4 yards) = 2(20 yards) = 40 yards
The perimeter of the rectangle is 40 yards.

Question 3.

P = _____ meters

Answer: 304 meters

Explanation:

The length of the rectangle = 110 m
The width of the rectangle = 42 m
The formula for the perimeter of the rectangle is 2 (l + w)
= 2 (110 m + 42 m) = 2(152 m)
= 304 meters
Therefore the perimeter of the rectangle is 304 meters.

Question 4.

P = _____ meters

Answer: 16 meters

Explanation:

The side of the square is 4 meters
The perimeter of the square = 4a
= 4 × 4 = 16 meters.
Therefore the perimeter of the square is 16 meters.

Find the perimeter of the rectangle or square.

Question 5.

P = _____ inches

Answer: 108 in.

Explanation:
Length = 34 in.
Width = 20 in.
The formula for the perimeter of the rectangle is 2 (l + w)
= 2 (34 in. + 20 in.)
= 108 in.

Question 6.

P = _____ feet

Answer: 464 feet

Explanation:

The side of the square is 116 feet
The perimeter of the square = 4a
= 4 × 116 feet = 464 feet.
Thus the perimeter of the square is 464 feet.

Question 7.

P = _____ meters

Answer: 126 meters

Explanation:

The length of the rectangle = 42 meters
The width of the rectangle = 21 meters
The formula for the perimeter of the rectangle is 2 (l + w)
= 2 (42 m + 21 m) = 2 (63 m) = 126 meters
Therefore the perimeter of the above rectangle is 126 meters.

Question 9.
Analyze What is the side length of a square with a perimeter of 60 meters?
l = _____ meters

Answer: 15 meters

Explanation:

The perimeter of the square = 60 meters
We know that, the perimeter of the square = 4a
4a = 60 meters
a = 60/4 = 15 meters
Thus the length of a square is 15 meters.

Page No. 720

Question 10.
Alejandra plans to sew fringe on a scarf. The scarf is shaped like a rectangle. The length of the scarf is 48 inches. The width is one half the length. How much fringe does Alejandra need?

a. Draw a picture of the scarf, and label the given measurements on your drawing.
Type below:
________

Answer:

Question 10.
b. What do you need to find?
Type below:
___9 _____

Answer: I need to find how much fringe does Alejandra need?

Question 10.
c. What formula will you use?
Type below:
________

Answer: I will use the perimeter of the rectangle formula = 2 (l + w).

Question 10.

d. Show the steps you use to solve the problem.
Type below:
________

Answer:

First I will calculate the width of the rectangle.
After that, I will use the formula of perimeter of the rectangle.
I will substitute the value of the length and width of the rectangle.

Question 10.
e. Complete.
The length of the scarf is ____ inches.
The width is one half the length, or
____ ÷ 2 = ____ inches.
So, the perimeter is
(____ × ____) + (____ × ____) = ____ inches.
Type below:
________

Answer:

The length of the scarf is 48 inches.

The width is one half the length, or 48 ÷ 2 = 24 inches.

So, the perimeter is

(2 × 24) + (2 × 48) = 144 inches

Question 10.
f. Alejandra needs _____ of fringe.
____ inches of fringe

Answer: 144 inches of fringe

Question 11.
Marcia will make a frame for her picture. The picture frame will be three times as long as it is wide. The width of the frame will be 5 inches. How much wood does Marcia need for the frame?
____ inches

Answer: 40 inches

Explanation:

Given that, Marcia will make a frame for her picture.
The picture frame will be three times as long as it is wide.
The width of the frame will be 5 inches.
Length = 3 × 5 inches = 15 inches
Perimeter of the rectangle = 2 (l + w)
= 2 (15 + 5) = 2 × 20 = 40 inches
Marcia needs 40 inches of wood for the frame.

Question 12.
Maya is building a sandbox that is 36 inches wide. The length is four times the width. What is the perimeter of the sandbox? Show your work. Explain.
____ inches

Answer: 360 inches

Explanation:

Maya is building a sandbox that is 36 inches wide. The length is four times the width.
Width = 36 inches
length = 4 × 36 inches = 144 inches
The perimeter of the rectangle = 2 (l + w)
= 2 (144 in. + 36 in.) = 2 × 180 inches = 360 inches
Therefore, the perimeter of the sandbox is 360 inches.

Conclusion:

The questions covered in the review test and mid-chapter checkpoint can also be verified using the Go Math grade 4 answer key Chapter 12 Relative Sizes of Measurement Units Pdf. So, you can practice well and score good grades in the standard tests and exams. Also, it clarifies all your subject doubts within no time. Hence, download and prepare more on a daily basis.