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 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 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.