HMH Go Math

Go Math Grade 1 Chapter 8 Answer Key Two-Digit Addition and Subtraction

Two-Digit Addition and Subtraction Show What You Know

Add and Subtract
Use and to add. Write the sum.
Break apart to subtract.
Write the difference.
Question 1.

Answer:

Explanation:
Given 4 red cubes and 1 blue cubes
In the first expression 4 red cubes + 1 blue cubes gives the sum 5.
In the second expression sum 5  – 1 blue cube gives the difference 4.

Count Groups to 20
Circle groups of 10. Write how many.
Question 2.

Answer:

Explanation:
Their are total 14 stars. 7 in first row and another 7 in second row.
To get the total of 10 we need to circle 7 in row and 3 in the second row.

Question 3.

Answer:

Answer:
5 stars  +  5 stars = 10 stars.
Explanation:
Given total 12 stars
5 in first row , 2 in second row, 5 in third row.
Adding 5 and 5 gives the sum 10.
5 + 5 = 10.

Use a Hundred Chart to Count
Touch and count. Shade the last number counted.

Question 4.
Start at 1 and count to 20.
Answer:

Explanation:
start from 1.
From 1 count on ten ones to 10 and from 10 count on one tens to 20. We get the required answer 1 to 20.

Question 5.
Start at 30 and count to 56.
Answer:

Start at 30 count on two tens to 50. From 51 count on six ones to reach 56.
Explanation:
To reach from 30 to 56
we need to count on two tens from 30 to 40, 40 to 50 and six ones from 51 to 52, 52 to 53, 53 to 54, 54 to 55, 55 to 56.

Question 6.
Start at 77 and count to 93.
Answer:

Explanation:
Start from 77 count on 3 ones to 80.
77 to 78, 78 to 79, 79 to 80
Start from 80 count on 1 tens to 90.
80 to 90
From 91 count on 3 ones to 93.
91 to 92, 92 to 93.

Two-Digit Addition and Subtraction Vocabulary Builder

Visualize It
Sort the review words from the box.

Answer:

Understand Vocabulary
Use a review word to complete each sentence.
Question 1.
8 is the _____ for 17 _____ 9.
Answer:
8 is the difference for 17 subtract 9.

Question 2.
17 is the _____ for 8 + 9.
Answer:
17 is the sum for 8 + 9.

Question 3.
When you _____ 4 to 8, you find the sum.
Answer:
When you add 4 to 8, you find the sum.

Question 4.
When you _____ 4 from 8, you find the difference.
Answer:
When you subtract 4 from 8, you find the difference.

Two-Digit Addition and Subtraction Game Neighborhood Sums

Materials

Play with a partner.

• Put your on START.
• Spin the . Move that number of spaces.
• Make a ten to help you find the sum.
• The other player uses to check.
• If you are not correct, you lose a turn.
• The first player to get to END wins.
  

Two-Digit Addition and Subtraction Vocabulary Game

Materials
1 set of word cards

• 18 https://gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-8-Two-Digit-Addition-and-Subtraction-2.4.png” alt=”1st Grade Go Math Answer Key Chapter 8 Two-Digit Addition and Subtraction 2.4″ width=”40″ height=”36″ class=”alignnone size-full wp-image-12779″ />

How to Play
Play with a partner.

1. Mix the cards. Put the cards in a pile with the blank side up.
2. Take a card. Read the word.
3. Find the matching word on your Bingo board. Cover the word with a . Put the card at the bottom of the pile.
4. The other player takes a turn.
5. The first player to cover 3 spaces in a line wins. The line may go across or down.
   

The Write Way
Reflect
Choose one idea. Draw and write about it.

• Write sentences that include at least two of these terms.
  add subtract addition sentence subtraction sentence
• Explain how you would solve this problem.
  53 + 20 = _____
  

Lesson 8.1 Add and Subtract Within 20

Essential Question What strategies can you use to add and subtract?

Listen and Draw

What is 5 + 4? Use a strategy to solve the addition fact. Draw to show your work.

5 + 4 = _____
Answer:
5 + 4 = 9
5 + 4 is a addition sentence where 5 and 4 add to give the sum 9.

MATHEMATICAL PRACTICES
Apply What strategy did you use to find the answer?
Answer:
Related fact.

Share and Show

Add or subtract.
Question 1.
5 + 3 = _____
Answer:
5 + 3 = 8.
Explanation:
Given addition expression adding  5 and 3 gives the sum 8.

Question 2.
10 – 5 = _____
Answer:
10 – 5 = 5.
Explanation:
Given a subtraction expression subtracting 5 from 10 gives the difference 5.
5 + 5 = 10 adding the difference and the subtrahend gives the minuend.

Question 3.
3 + 6 = ____
Answer:
3 + 6 = 9
Explanation:
Given addition expression adding  3 and 6 gives the sum 9.

Question 4.
12 – 5 = ____
Answer:
12 – 5 = 7.
Explanation:
Given a subtraction expression subtracting 5 from 12 gives the difference 7.
7 + 5 = 12 adding the difference and the subtrahend gives the minuend.

Question 5.
15 – 9 = ____
Answer:
15 – 9 = 6.
Explanation:
Given a subtraction expression subtracting 9 from 15 gives the difference 6.
9 + 6 = 15 adding the difference and the subtrahend gives the minuend.

Question 6.
5 + 7 = ____
Answer:
5 + 7 = 12
Explanation:
Given addition expression adding  5 and 7 gives the sum 12.

Question 7.
8 + 7 = ____
Answer:
8 + 7 = 15.
Explanation:
Given addition expression adding  8 and 7 gives the sum 15.

Question 8.
9 – 7 = ____
Answer:
9 – 7 = 2
Explanation:
Given a subtraction expression subtracting 7 from 9 gives the difference 2.
2 + 7 = 9 adding the difference and the subtrahend gives the minuend.

Question 9.
5 + 5 = ___
Answer:
5 + 5 = 10
Explanation:
Given addition expression adding  5  and 5 gives the sum 10.

Question 10.
12 – 7 = ____
Answer:
12 – 7 = 5
Explanation:
Given a subtraction expression subtracting 7 from 12 gives the difference 5.
5 + 7 = 12 adding the difference and the subtrahend gives the minuend.

Question 11.
18 – 9 = ____
Answer:
18 – 9 = 9
Explanation:
Given a subtraction expression subtracting 9 from 18 gives the difference 9.
9 + 9 = 18 adding the difference and the subtrahend gives the minuend.

Question 12.
9 + 4 = ____
Answer:
9 + 4 = 13
Explanation:
Given addition expression adding  9 and 4 gives the sum 13.

Question 13.
2 + 7 = ___
Answer:
2 + 7 = 9
Explanation:
Given addition expression adding  2  and 7 gives the sum 9.

Question 14.
5 – 1 = ____
Answer:
5 – 1 = 4.
Explanation:
Given a subtraction expression subtracting 1 from 5 gives the difference 4.
1 + 4 = 5 adding the difference and the subtrahend gives the minuend.

Question 15.
9 + 1 = ____
Answer:
9 + 1 = 10
Explanation:
Given addition expression adding  9 and 1 gives the sum 10.

Question 16.
7 – 6 = ____
Answer:
7 – 6 = 1
Explanation:
Given a subtraction expression subtracting 6 from 7 gives the difference 1.
1 + 6 = 7 adding the difference and the subtrahend gives the minuend.

Question 17.
13 – 4 = ____
Answer:
13 – 4 = 9
Explanation:
Given a subtraction expression subtracting 4 from 13 gives the difference 9.
9 + 4 = 13 adding the difference and the subtrahend gives the minuend.

Question 18.
2 + 6 = ____
Answer:
2 + 6 = 8
Explanation:
Given addition expression adding  2 and 6 gives the sum 8.

On Your Own

MATHEMATICAL PRACTICE Apply Add or subtract.
Question 19.

Answer:
14 – 5 = 9
Explanation:
Given a subtraction expression subtracting 5 from 14 gives the difference 9.
9 + 5 = 14 adding the difference and the subtrahend gives the minuend.

Question 20.

Answer:
2 + 10 = 12
Explanation:
Given addition expression adding  2 and 10 gives the sum 12.

Question 21.

Answer:
3 + 3 = 6
Explanation:
Given addition expression adding  3 and 3 gives the sum 6.

Question 22.

Answer:
14 – 8 = 6
Explanation:
Given a subtraction expression subtracting 8 from 14 gives the difference 6.
6 + 8 = 14 adding the difference and the subtrahend gives the minuend.

Question 23.

Answer:
8 + 9 = 17
Explanation:
Given addition expression adding  8 and 9 gives the sum 17.

Question 24.

Answer:
6 – 3 = 3
Explanation:
Given a subtraction expression subtracting 3 from 6 gives the difference 3.
3 + 3 = 6 adding the difference and the subtrahend gives the minuend.

Question 25.

Answer:
6 – 5 = 1
Explanation:
Given a subtraction expression subtracting 5 from 6 gives the difference 1.
1 + 5 = 6 adding the difference and the subtrahend gives the minuend.

Question 26.

Answer:
2 + 8 = 10
Explanation:
Given addition expression adding  2 and 8 gives the sum 10.

Question 27.

Answer:
0 + 5 = 5
Explanation:
Given addition expression adding  0 and 5 gives the sum 5.
Adding any number to zero gives the sum the number itself.

Question 28.

Answer:
10 – 2 = 8
Explanation:
Given a subtraction expression subtracting 2 from 10 gives the difference 8.
8 + 2 = 10 adding the difference and the subtrahend gives the minuend.

Question 29.

Answer:
9 + 9 = 18
Explanation:
Given addition expression adding  9 and 9 gives the sum 18.

Question 30.

Answer:
5 – 4 = 1
Explanation:
Given a subtraction expression subtracting 4 from 5 gives the difference 1.
1 + 4 = 5 adding the difference and the subtrahend gives the minuend.

Question 31.

Answer:
8 – 8 = 0
Explanation:
Given a subtraction expression subtracting 8 from 8 gives the difference 0.
0 + 8 = 8 adding the difference and the subtrahend gives the minuend.

Question 32.

Answer:
10 + 1 = 11
Explanation:
Given addition expression adding  10 and 1 gives the sum 11.

Question 33.

Answer:
4 + 7 = 11
Explanation:
Given addition expression adding  4 and 7 gives the sum 11.

Question 34.

Answer:
9 – 3 = 6
Explanation:
Given a subtraction expression subtracting 3 from 9 gives the difference 6.
6 + 3 = 9 adding the difference and the subtrahend gives the minuend.
Question 35.

Answer:
1 + 8 = 9.
Explanation:
Given addition expression adding  1 and 8 gives the sum 9.

Question 36.

Answer:
17 – 9 = 8
Explanation:
Given a subtraction expression subtracting 9 from 17 gives the difference 8.
8 + 9 = 17 adding the difference and the subtrahend gives the minuend.
Question 37.

Answer:
13 – 7 = 6.
Explanation:
Given a subtraction expression subtracting 7 from 13 gives the difference 6.
6 + 7 = 13 adding the difference and the subtrahend gives the minuend.

Question 38.

Answer:
6 + 5 = 11
Explanation:
Given addition expression adding  6 and 5 gives the sum 11.

Question 39.

Answer:
10 + 2 = 12.
Explanation:
Given addition expression adding  2 and 10 gives the sum 12.

Question 40.

Answer:
14 – 9 = 5.
Explanation:
Given a subtraction expression subtracting 9 from 14 gives the difference 5.
5 + 9 = 14 adding the difference and the subtrahend gives the minuend.

Question 41.

Answer:
10 + 10 = 20
Explanation:
Given addition expression adding  10 and 10 gives the sum 20.

Question 42.

Answer:
11 – 3 = 8
Explanation:
Given a subtraction expression subtracting 3 from 11 gives the difference 8.
8 + 3 = 11 adding the difference and the subtrahend gives the minuend.

Question 43.
THINK SMARTER
Jamal thinks of an addition fact. The sum is 15. One addend is 8. What is a fact Jamal could be thinking of?

Answer:
Given
Sum = 15
1st addend is = 8
2nd addend = sum – 1st addend
15- 8 = 7.
7 is the 2nd addend.
7 + 8 = 15.

Problem Solving • Applications

Solve. Write or draw to explain.
Question 44.
THINK SMARTER
There are 9 ants on a rock. Some more ants get on the rock. Now there are 18 ants on the rock. How many more ants got on the rock?

______ more ants
Answer:
Given:
Number of ants on the rock at first = 9 ants
Total number of  after adding some more ants on the rock = 18 ants
Number of ants that got on the rock = total – number of ants at first
18 – 9 = 9 ants.
9 more ants got added to the rock.
9 ants + 9 ants = 18 ants.

Question 45.
GO DEEPER
Fill in the blanks. Write a number sentence to solve. Lin sees _____ bees. Some bees flew away. Now there are _____ bees. How many bees flew away?

______ bees
Answer:
Assume:
Total number of bees Lin sees= 10 bees.
Number of bees after some flew away = 5 bees
Number of bees flew away = total bees – number of bees after some flew away
10 – 5 = 5 bees.

Question 46.
THINK SMARTER
Write each addition or subtraction in the box below the answer

Answer:

TAKE HOME ACTIVITY • Have your child tell a strategy he or she would use to solve 4 + 8.

Add and Subtract Within 20 Homework & Practice 8.1

Add or subtract.
Question 1.

Answer:
6 + 0 = 6
Explanation:
Given addition expression adding  10 and 10 gives the sum 20.

Question 2.

Answer:
11 – 2 = 9
Explanation:
Given a subtraction expression subtracting 2 from 11 gives the difference 9.
9 + 2 = 11 adding the difference and the subtrahend gives the minuend.

Question 3.

Answer:
4 + 5 = 9
Explanation:
Given addition expression adding  4 and 5 gives the sum 9.

Question 4.

Answer:
9 + 8 = 17
Explanation:
Given addition expression adding  9 and 8 gives the sum 17.

Question 5.

Answer:
4 + 10 = 14
Explanation:
Given addition expression adding  4 and 10 gives the sum 14.

Question 6.

Answer:
14 – 9 = 5
Explanation:
Given a subtraction expression subtracting 9 from 14 gives the difference 5.
5 + 9 = 14 adding the difference and the subtrahend gives the minuend.

Question 7.

Answer:
7 + 4 = 13
Explanation:
Given addition expression adding  7 and 4 gives the sum 13.

Question 8.

Answer:
8 – 5 = 3
Explanation:
Given a subtraction expression subtracting 5 from 8 gives the difference 3.
5 + 3 = 8 adding the difference and the subtrahend gives the minuend.

Question 9.

Answer:
10 – 1 0 = 0
Explanation:
Given a subtraction expression subtracting 10 from 10 gives the difference 0.
10 + 0 = 10 adding the difference and the subtrahend gives the minuend.

Question 10.

Answer:
6 + 7 = 13
Explanation:
Given addition expression adding  6 and 7 gives the sum 13.

Question 11.

Answer:
18 – 9 = 9
Explanation:
Given a subtraction expression subtracting 9 from 18 gives the difference 9.
9 + 9 = 18 adding the difference and the subtrahend gives the minuend.

Question 12.

Answer:
15 – 6 = 9
Explanation:
Given a subtraction expression subtracting 6 from 15 gives the difference 9.
9 + 6 = 15 adding the difference and the subtrahend gives the minuend.

Problem Solving
Solve. Draw or write to explain.
Question 13.
Jesse has 4 shells. He finds some more. Now he has 12 shells. How many more shells did Jesse find?
_______ more shells
Answer:
Number of shells Jesse had at first = 4 shells
After finding some more
Total number of shells Jesse have =12 shells
Number of shells Jesse find= Total shells – number of shells at first
12 – 4 = 8
Jesse found 8 more shells.

Question 14.
WRITE
Write an addition and subtraction fact. Then write a strategy you could use to solve the fact.
__________________
___________________
Answer:
8 + 9 = 17
9 – 8 = 1
The strategy i used to solve it is related fact.

Lesson Check
Question 1.
What is the sum? Write the number.
8 + 5 = ______
Answer:
8 + 5 = 13
13 is the SUM.
Explanation:
Sum is the result of adding two or more numbers.
8 and 5 are two number which are added to get the sum 13.

Question 2.
What is the difference? Write the number.
11 – 4 = ______
Answer:
11 – 4 = 7
7 is the difference between 11 and 4.
Explanation:
Difference is the result of subtracting one number from another.
4 is subtracted from 11 and got the difference 7.

Spiral Review
Question 3.

Answer:

Explanation:
46 is greater than 43.
Both the numbers are in the same tens place of four. But the ones place are different first one is  at 3 and the other is at 6 . Since 6 is greater then 3. 46 is greater than 43.

Question 4.

Answer:

Explanation:
Given two number
69 – its at 6 tens and 9 ones
84- its at 8 tens and 4 ones
as per the above 69 is less then 84 as it is 2 tens less than 84.

Lesson 8.2 Add Tens

Essential Question How can you add tens?

Listen and Draw

Choose a way to show the problem. Draw a quick picture to show your work.

MATHEMATICAL PRACTICES
Reasoning Why will there be no ones in your answer when you add 20 + 30?
Answer:
There are no ones when we add 20 and 30 because they both are in tens places and there is no ones place in both the number.
20 + 30 = 50

Model and Draw

How can you find 30 + 40?

Answer:

Share and Show

Use . Draw to show tens. Write the sum. Write how many tens.
Question 1.
20 + 40 = ______
_____ tens
Answer:

Explanation:
ONE line represents tens
1 line = 10
20 + 40 = 60
60 = 6 lines

Question 2.
30 + 30 = ______
______ tens
Answer:
30 + 30 = 60
Each line represents 1 Tens.

Explanation:
ONE line represents tens
1 line = 10
30 + 30 = 60
60 = 6 lines

Question 3.
40 + 50 = ______
_____ tens
Answer:
40 + 50 = 90
Each line represents Tens.

Explanation:
ONE line represents tens
1 line = 10
40 + 50 = 90
90 = 9 lines

Question 4.
50 + 30 = _____
_____ tens
Answer:
50 + 30 = 80
Each line represents Tens.

Explanation:
ONE line represents tens
1 line = 10
50 + 30 = 80
80 = 8 lines

On Your Own

MATHEMATICAL PRACTICE Represent a Problem Draw to show tens. Write the sum. Write how many tens.
Question 5.
40 + 40 = _____
____ tens
Answer:
40 + 40 = 80

Explanation:
ONE line represents tens
1 line = 10
40 + 40 = 80
80 = 8 lines

Question 6.
70 + 20 = _____
______ tens
Answer:
70 + 20 = 90

Explanation:
ONE line represents tens
1 line = 10
70 + 20 = 90
90 = 9 lines

Question 7.
10 + 80 = _____
_____ tens
Answer:
10 + 80 = 90

Explanation:
ONE line represents tens
1 line = 10
10 + 80 = 90
90 = 9 lines

Question 8.
60 + 80 = _____
_____ tens
Answer:
60 + 80 = 140

Explanation:
ONE line represents tens
1 line = 10
60 + 80 = 140
140 = 14 lines

Question 9.
GO DEEPER
Draw two groups of tens you can add to get a sum of 50. Write the number sentence.

Answer:
We can represent a group of tens that add together to a sum of 50 in different ways as below.
20 + 30 = 50
10 + 40 = 50
These two number sentences gives the sum 50 on adding two  groups of tens.

Problem Solving • Applications

Question 10.
THINK SMARTER
Complete the web. Write the missing addend to get a sum of 90.

Answer:

Question 11.
THINK SMARTER
Choose all the ways that name the model.

Answer:
7 Tens
70

TAKE HOME ACTIVITY • Ask your child to explain how to use tens to find 20 + 70.

Add Tens Homework & Practice 8.2

Draw to show tens. Write the sum. Write how many tens.
Question 1.
10 + 30 = ____
_____ tens
Answer:
10 + 30 = 40

Explanation:
ONE line represents tens
1 line = 10
10 + 30 = 40
40 = 4 lines

Question 2.
30 + 30 = _____
____ tens
Answer:
30 + 30 = 60

Explanation:
ONE line represents tens
1 line = 10
30 + 30 = 60
60 = 6 lines

Question 3.
60 + 10 = _____
_____ tens
Answer:
60 + 10 = 70

Explanation:
ONE line represents tens
1 line = 10
60 + 10 = 70
70 = 7 lines

Question 4.
10 + 70 = _____
_____ tens
Answer:
10 + 70 = 80

Explanation:
ONE line represents tens
1 line = 10
70 + 10 = 80
80 = 8 lines

Problem Solving
Draw tens to solve.
Question 5.
Drew makes 20 posters. Tia makes 30 posters. How many posters do they make?
______ posters
Answer:
Number of posters Drew made = 20
Number of posters Tia made = 30
Total number of posters both Drew and Tia make = Number of posters made by Drew + Number of posters made by Tia
20 + 30 = 50
Total 50 posters made by both.

Question 6.
Regina read 40 pages. Alice read 50 pages. How many pages did they read?
______ pages
Answer:
Number of pages Regina read = 40
Number of pages read by Alice = 50
Total number of pages read by both = Number of pages read by Regina + Number of pages read by Alice
40 + 50 = 90
Total 90 pages read by both.

Question 7.
WRITE
Choose an addition problem from the spider web on page 446. Draw a quick picture and write the number sentence.
Answer:

I choose 70 + 20 = 90

Explanation:
ONE line represents tens
1 line = 10
70 + 20 = 90
90 = 9 lines

Lesson Check
Question 1.
What is the sum? Write the number.
20 + 30 = _____
Answer:
20 + 30 = 50

Explanation:
ONE line represents tens
1 line = 10
20 + 30 = 50
50 = 5 lines

Question 2.
What is the sum? Write the number.
30 + 10 = _____
Answer:
30 + 10 = 40

Explanation:
ONE line represents tens
1 line = 10
30 + 10 = 40
40 = 4 lines

Spiral Review
Question 3.
Write a doubles fact that can help you solve 6 + 5 = 11
___ + ___ = _____
Answer:
6 + 5 = 11
(3 +3) + (3 + 3 ) = 11
6 + 6 =11
12 =11
The above expression is doubles minus 1

Question 4.
Circle the number sentences that are true. Cross out the number sentences that are false. Which is not true?
30>10
30<10
10>30
10<30
Answer:

Lesson 8.3 Subtract Tens

Essential Question How can you subtract tens?

Listen and Draw

Choose a way to show the problem. Draw a quick picture to show your work.

MATHEMATICAL PRACTICES
Represent How does your picture show the first problem?
Answer:

Model and Draw

How can you find 80 – 30

Answer:

Share and Show

Use . Draw to show tens. Write the difference. Write how many tens.
Question 1.
60 – 20 = ____
_____ tens
Answer:
60 – 20 = 40

Explanation:
We subtract the subtrahend from the minuend to get the difference.
60 – 20 = 40
60 is minuend and 20 is subtrahend and 40 is difference of both
ONE line represents tens
1 line = 10
60 – 20 = 40
40 = 4 lines

Question 2.
70 – 30 = ____
_____ tens
Answer:
70 – 30 = 40

Explanation:
We subtract the subtrahend from the minuend to get the difference.
70 – 30 = 40
70 is minuend and 300 is subtrahend and 40 is difference of both
ONE line represents tens
1 line = 10
70 – 30 = 40
40 = 4 lines

Question 3.
80 – 20 = ____
____ tens
Answer:
80 – 20 = 60

Explanation:
We subtract the subtrahend from the minuend to get the difference.
80 – 20 = 60
80 is minuend and 20 is subtrahend and 60 is difference of both
ONE line represents tens
1 line = 10
80 – 20 = 60
60 = 6 lines

Question 4.
90 – 40 = ____
____ tens
Answer:
90 – 40 = 50

Explanation:
We subtract the subtrahend from the minuend to get the difference.
90 – 40 = 50
90 is minuend and 40 is subtrahend and 50 is difference of both
ONE line represents tens
1 line = 10
90 – 40  = 50
50 = 5 lines

On Your Own

MATHEMATICAL PRACTICE Make Connections Draw to show tens. Write the difference. Write how many tens.
Question 5.
80 – 40 = ____
____ tens
Answer:

Explanation:
We subtract the subtrahend from the minuend to get the difference.
80 – 40 = 40
80 is minuend and 40 is subtrahend and 40 is difference of both
ONE line represents tens
1 line = 10
80 – 40  = 40
40 = 4 lines

Question 6.
90 – 70 = ____
____ tens
Answer:

Explanation:
We subtract the subtrahend from the minuend to get the difference.
90 – 70 = 20
90 is minuend and 70 is subtrahend and 20 is difference of both
ONE line represents tens
1 line = 10
90 – 70  = 20
20 = 2 lines

Question 7.
70 – 50 = ____
____ tens
Answer:

Explanation:
We subtract the subtrahend from the minuend to get the difference.
70 – 50 = 20
70 is minuend and 50 is subtrahend and 20 is difference of both
ONE line represents tens
1 line = 10
70 – 50  = 20
20 = 2 lines

Question 8.
30 – 30 = ____
____ tens
Answer:

Explanation:
We subtract the subtrahend from the minuend to get the difference.
30 – 30 = 0
30 is minuend and 30 is subtrahend and 0 is difference of both
ONE line represents tens
1 line = 10
30 – 30 = 0
0 = 0 lines

THINK SMARTER Solve.
Question 9.
Jeff has 40 pennies. He gives some to Jill. He has 10 pennies left. How many pennies does Jeff give to Jill?

______ pennies
Answer:
Number of pennies Jeff has = 40 pennies
After giving some to Jill
Number of pennies left with Jeff = 10 pennies
Number of pennies Jeff gave to Jill = number of pennies Jeff had – Number of pennies left after giving to Jill
40 – 10 = 30 pennies.

TAKE HOME ACTIVITY • Ask your child to explain how to use tens to find 90 − 70.

Subtract Tens Homework & Practice 8.3

Draw to show tens. Write the difference. Write how many tens.
Question 1.
40 – 10 = ______
____ tens
Answer:
40 – 10 = 30

Explanation:
We subtract the subtrahend from the minuend to get the difference.
40 – 10 = 30
40 is minuend and 10 is subtrahend and 30 is difference of both
ONE line represents tens
1 line = 10
40 – 10 = 30
30 = 3 lines

Question 2.
80 – 40 = ____
____ tens
Answer:

Explanation:
We subtract the subtrahend from the minuend to get the difference.
80 – 40 = 40
80 is minuend and 40 is subtrahend and 40 is difference of both
ONE line represents tens
1 line = 10
80 – 40 = 0
40 = 4 lines

Problem Solving
Draw tens to solve.
Question 3.
Mario has 70 baseball cards. He gives 30 to Lisa. How many baseball cards does Mario have left?
______ baseball cards
Answer:
Total number of baseball cards Mario has = 70
Number of cards he gave to Lisa = 30
Number of baseball cards left with Mario = Total cards – Number of cards he gave to Lisa
70 – 30 = 40 left.

Question 4.
WRITE
Draw a picture to show how to solve 50 – 40.
Answer:
50 – 40 = 10

Explanation:
We subtract the subtrahend from the minuend to get the difference.
50 – 40 = 10
30 is minuend and 30 is subtrahend and 0 is difference of both
ONE line represents tens
1 line = 10
50 – 40 = 10
10 = 1 lines

Lesson Check
Question 1.
What is the difference? Write the number.
60 – 20 = ____
Answer:
60 -20 = 40

Explanation:
We subtract the subtrahend from the minuend to get the difference.
60 – 20 = 40
60 is minuend and 20 is subtrahend and 40 is difference of both
ONE line represents tens
1 line = 10
60 – 20 = 40
40 = 4 lines

Question 2.
What is the difference? Write the number.
70 – 30 = ____
Answer:
70 – 30 = 40

Explanation:
We subtract the subtrahend from the minuend to get the difference.
70 – 30 = 40
70 is minuend and 30 is subtrahend and 40 is difference of both
ONE line represents tens
1 line = 10
70 – 30 = 40
40 = 4 lines

Spiral Review
Question 3.
Use ◯, , and a ten frame. Show both addends. Draw to make ten. Then write a new fact. Add.

Answer:

Question 4.
Bo crosses out the number cards that are less than 33 and greater than 38. What numbers are left?

Number cards _____ and _____ are left.
Answer:

36 , 37 are the number cards that are left.

Two-Digit Addition and Subtraction Mid-Chapter Checkpoint

Concepts and Skills

Add or subtract.
Question 1.

Answer:
4 + 8 = 12
Explanation:
Given addition sentence 4 and 8 are addends. when we add both the addend we get the sum
4 + 8 = 12
12 is the sum

Question 2.

Answer:
15 – 7 = 8
Explanation:
Given Subtraction sentence. We subtract the subtrahend from the minuend to get the difference.
15 – 7 = 8
15 is minuend and 7 is subtrahend and 8 is difference

Question 3.

Answer:
9 – 6 = 3
Explanation:
Given Subtraction sentence. We subtract the subtrahend from the minuend to get the difference.
9 – 6 = 3
9 is minuend and 6 is subtrahend and 3 is difference.

Question 4.

Answer:
3 + 1 = 4
Explanation:
Given addition sentence 3 and 1 are addends. when we add both the addend we get the sum
3 + 1 = 4
4 is the sum

Question 5.

Answer:
10 + 6 = 16
Explanation:
Given addition sentence 10 and 6 are addends. when we add both the addend we get the sum
10 + 6 = 16
16 is the sum

Question 6.

Answer:
11 – 2 = 9
Explanation:
Given Subtraction sentence. We subtract the subtrahend from the minuend to get the difference.
11 – 2 = 9
11 is minuend and 2 is subtrahend and 9 is difference .

Use . Draw to show tens. Write the sum. Write how many tens.
Question 7.
30 + 50 = _____
_____ tens
Answer:
30 + 50 = 80

Explanation:
ONE line represents tens
1 line = 10
30 + 50 = 80
80 = 8 lines

Question 8.
40 + 20 = _____
______ tens
Answer:
40 +20 = 60

Explanation:
ONE line represents tens
1 line = 10
40 + 20 = 60
60 = 6 lines

Use . Draw to show tens. Write the difference. Write how many tens.
Question 9.
90 – 20 = _____
_____ tens
Answer:
90 – 20 = 70

Explanation:
We subtract the subtrahend from the minuend to get the difference.
90 – 20 = 70
90 is minuend and 20 is subtrahend and 70 is difference of both
ONE line represents tens
1 line = 10
90 – 20 = 70
70 = 7 lines

Question 10.
60 – 40 = _____
____ tens
Answer:
60 – 40 = 20

Explanation:
We subtract the subtrahend from the minuend to get the difference.
60 – 40 = 20
60 is minuend and 40 is subtrahend and 20 is difference of both
ONE line represents tens
1 line = 10
60 – 40 = 20
20 = 2 lines

Question 11.
THINK SMARTER
Mike has 60 marbles. He gives 20 to Kathy. How many marbles does Mike have left? Show your work.
_______ marbles
Answer:
Total number of marbles with Mike = 60
Number of marbles Mike gave to Kathy = 20
Number of marbles left with Mike = Total marbles – number of marbles he gave to Kathy
60 – 20 = 40

Lesson 8.4 Use a Hundred Chart to Add

Essential Question How can you use a hundred chart to count on by ones or tens?

Listen and Draw
Use the hundred chart to solve the problems.

MATHEMATICAL PRACTICES
Explain how you can use a hundred chart to find each sum.
Answer:

Share and Show

Use the hundred chart to add. Count on by ones or tens.
Question 1.
42 + 7 = _____
Answer:
42 + 7 = 49

Explanation:
From 42 we need to count 7 to reach 49.
To reach 49 we need to count 7 ones from 42.

Question 2.
57 + 30 = _____
Answer:
57 + 30 = 87

Explanation:
To count 30 from 57
we need to count 3 ones from 57 to 60
2 tens count from 60 to 80
From 81 need to count 7 ones to 87.
10 ones count and 2 tens count.

Question 3.
91 + 5 = _____
Answer:
91 + 5 = 96

Explanation:
91 + 5 = 96
There is a 5 ones count from 91 to 96.

Question 4.
18 + 50 = _____
Answer:
18 + 50 = 68

Explanation:
From 18 we need to count 50
18 + 50 = 68
To reach 68 from 18
we need 10 ones count and 4 tens count.
18 to 20 – 2 ones counts and 61 to 68 – 8 ones counts.
20 to 60 we need 4 tens count.

On Your Own

MATHEMATICAL PRACTICE Use Appropriate Tools Use the hundred chart to add. Count on by ones or tens.
Question 5.
13 + 70 = ____
Answer:
13 + 70 = 83

Explanation:
From 13 we need to count 70
13 + 70 = 83
To reach 83 from 13
we need 10 ones count and 6 tens count.
13 to 20 – 7 ones counts and 20 to 80 – 6 tens counts.
80 to 83 we need 3 ones count.

Question 6.
22 + 6 = ____
Answer:
22 + 6 = 28

Explanation:
From 22 we need to count 6
22 + 6 = 28
To reach 28 from 22
we need 6 ones count.

Question 7.
71 + 3 = ____
Answer:
71 + 3 = 74

Explanation:
From 71 we need to count 3
71 + 3 = 74
To reach 74 from 71
we need 3 ones count.
71 – 74 we need 3 ones count.

Question 8.
49 + 50 = ____
Answer:
49 + 50 = 99

Explanation:
From 49 we need to count 50
49 + 50 = 99
To reach 99 from 49
we need 10 ones count and 4 tens count.
49 to 50 – 1 ones counts and 50 to 90 – 4 Tens counts.
90 – 99 we need 9 ones count.

Question 9.
53 + 4 = ____
Answer:
53 + 4 = 57

Explanation:
From 53 we need to count 4
53 + 4 = 57
To reach 57 from 53
we need 4 ones count.
53 – 57 we need 4 ones count.

Question 10.
25 + 40 = ____
Answer:
25 + 40 = 65

Explanation:
From 25 we need to count 40
25 + 40 = 65
To reach 65 from 25
we need 10 ones count and 3 tens count.
 25 to 30 – 5 ones counts and 30 to 60 – 3 tens counts.
60 to 65 we need 5 ones count.

Question 11.
GO DEEPER
Solve. Show your work.
31 + 20 + 40 = ____
Answer:
31 + 20 + 40 = 91

Explanation:
From 31 we need to count 20 first
31 + 20 = 51
To reach 51 from 31
we need 10 ones count and 1 tens count.
31 to 40 – 9 ones counts and 40- 50 1 tens counts.
50 – 51 we need 1 ones count.
From 51 we need to count 40 more
51 + 40 = 91
To reach 91 from 51
we need 10 ones count and 3 tens count.
51 to 60 – 9 ones counts and 60- 90 3 tens counts.
90 – 91 we need 1 ones count.

Problem Solving • Applications

Choose a way to solve. Draw or write to show your work.
Question 12.
THINK SMARTER
Rae put 20 books away. She put 20 more books away, then 11 more. How many books did Rae put away?

______ books
Answer:
Number of books Rae puts away at first = 20
Number of books Rae puts away at second =20
Number of books Rae puts away at Last = 11
Total number of books Rae puts away = 20 + 20 + 11 = 51 books

Explanation:
From 1 we need to count 20 first
0 + 20 = 20
To reach 20 from 1
we need 10 ones count and 1 tens count.
1 to 10 – 9 ones counts and 10- 20 1 tens counts.
From 20 another 20 count is added
From 20 we need to count 20 more
20 + 20 = 40
To reach 40 from 20
we need 10 ones count and 1 tens count.
20 to 30 – 10 ones counts and 30- 40 1 tens counts.
From 40 count another 11
40 +11 = 51
To reach 51 from 40 we need 11 one counts .

Question 13.
THINK SMARTER+
Use the hundred chart to add. Count on by ones or tens.

62 + 9 = _____
Explain how you used the chart to find the sum.
Answer:
62 + 9 = 71

TAKE HOME ACTIVITY • On a piece of paper, write 36 + 40. Ask your child to explain how to use the hundred chart to count on by tens to find the sum.

Use a Hundred Chart to Add Homework & Practice 8.4

Use the hundred chart to add. Count on by ones or tens.

Question 1.
47 + 2 = ____
Answer:

Explanation:
from 47 count 2
47 + 2 = 49
to reach 49 from 47 count 2 ones.

Question 2.
26 + 50 = ____
Answer:
26+50=76

Explanation:
From 26 we need to count 50
26 + 50 = 76
To reach 76 from 26
we need 10 ones count and 4 tens count.
 26 to 30 – 4 ones counts and 30 to 70 – 4 tens counts.
70 to 76 we need 6 ones count.

Question 3.
22 + 5 = ____
Answer:
22 + 5 = 27

Question 4.
4 + 85 = ____
Answer:

Problem Solving
Choose a way to solve. Draw or write to show your work.
Question 5.
17 children are on the bus. Then 20 more children get on the bus. How many children are on the bus now?
______ children
Answer:
Number of students in the bus at first = 17
Later few more got into the bus
Number of students who got into the bus later = 20
Total number of students in the bus =
17 + 20 = 37
Total 37 students in the bus.

Question 6.
WRITE
Write a number sentence to add 6 ones to 21. Write a number sentence to add 6 tens to 21.
Answer:
Number sentence to add 6 ones to 21
21 + 6 =27
Number sentence to add 6 tens to 21
21 + 60 = 81

Lesson Check

Question 1.
What is the sum? Write the number.
42 + 50 = _____
Answer:
42 + 50 = 92

Question 2.
What is the sum? Write the number.
11 + 8 = _____
Answer:
11 + 8 = 19

Spiral Review
Question 3.
Use mental math. What number is ten less than 52? Write the number.
______
Answer:
Number Ten less than 52 = 52 – 10 = 42
42 is the number.

Question 4.
Write an addition fact that helps you solve 16 − 9.
____ + ____ = _____
Answer:
16 – 9 = 7
7 + 9 = 16.

Lesson 8.5 Use Models to Add

Essential Question How can models help you add ones or tens to a two-digit number?

Listen and Draw
Draw to show how you can find the sum.
14 + 5 = _____
Answer:

Explanation:
14 = 1 tens and 4 once
5 = 5 ones
when adding 14 + 5 = 19
we add the ones and keep the tens constant as their is no tens place in the second addend
1 tens + (4 + 5)ones =  1 tens + 9 ones
19

MATHEMATICAL PRACTICES
Model Explain how you found the sum.
Answer:

Share and Show

Use . Draw to show how to add the ones. Write the sum.
Question 1.
27 + 2 = _____
Answer:

Explanation:
27 = 2 tens and 4 ones
2 = 2 ones
when adding 27 + 2
we add the ones and keep the tens constant as their is no tens place in the second addend
2 tens + (7 + 2)ones =  2 tens + 9 ones
27 + 2 = 29

Question 2.
41 + 5 = ____
Answer:

Explanation:
41 = 4 tens and 1 ones
5 = 5 ones
when adding 41 + 5
we add the ones and keep the tens constant as their is no tens place in the second addend
4 tens + (1 + 5)ones =  4 tens + 6 ones
41 + 5 = 46

Use . Draw to show how to add the tens. Write the sum.
Question 3.
13 + 50 = _____
Answer:

Explanation:
13 = 1 tens and 3 ones
50 = 5 tens
when adding 13 + 50
we add the tens and keep the ones constant as their is no ones place in the second addend
(1 tens + 3 ones) + 5 tens =  (1 + 5) tens + 3 ones
6 tens + 3 ones
13 + 50 = 63.

Question 4.
28 + 30 = _____
Answer:

Explanation:
28 = 2 tens and 8 ones
30 = 3 tens
when adding 28 + 30
we add the tens and keep the ones constant as their is no ones place in the second addend
(2 tens + 8 ones) + 3 tens =  (2 + 3) tens + 8 ones
5 tens + 8 ones
28 + 30 = 58.

On Your Own

MATHEMATICAL PRACTICE Use Models
Use and your MathBoard. Add the ones or tens. Write the sum.
Question 5.
65 + 3 = ____
Answer:

Explanation:
65 = 6 tens and 5 ones
3 = 3 ones
when adding 65 + 3
we add the ones and keep the tens constant as their is no tens place in the second addend
(6 tens +5 ones) + 3 ones =  6 tens +(5 + 3) ones
6 tens + 8 ones
65 + 3 = 68.

Question 6.
81 + 8 = _____
Answer:

Explanation:
81 = 8 tens and 1 ones
8 = 8 ones
when adding 81 + 8
we add the ones and keep the tens constant as their is no tens place in the second addend
(8 tens + 1 ones) + 8 ones =  8 tens +(8+1)ones
8 tens + 9 ones
81 + 8 = 89

Question 7.
54 + 20 = ____
Answer:

Explanation:
54 = 5 tens and 4 ones
20 = 2 tens
when adding 54 + 20
we add the tens and keep the ones constant as their is no ones place in the second addend
(5 tens + 4 ones) + 2 tens =  (5 + 2) tens + 4 ones
7 tens + 4 ones
54 + 20 = 74

Question 8.
32 + 10 = ____
Answer:

Explanation:
32 = 3 tens and 2 ones
10 = 1 tens
when adding 32 + 10
we add the tens and keep the ones constant as their is no ones place in the second addend
(3 tens + 2 ones) + 1 tens =  (3 + 1) tens + 2 ones
4 tens + 2 ones
32 + 10 = 42.

Question 9.
95 + 2 = ____
Answer:

Explanation:
95 = 9 tens and 5 ones
2 = 2 ones
when adding 95 + 2
we add the ones and keep the tens constant as their is no tens place in the second addend
(9 tens + 5 ones) + 2 ones =  9 tens +(5+2)ones
9 tens + 7 ones
95 + 2 = 97

Question 10.
25 + 60 = ____
Answer:

Explanation:
25 = 2 tens and 5 ones
60 = 6 tens
when adding 25 + 60
we add the tens and keep the ones constant as their is no ones place in the second addend
(2 tens + 5 ones) + 6 tens =  (2 + 6) tens + 5 ones
8 tens + 5 ones
25 + 60 = 85.

Question 11.
2 + 54 = _____
Answer:

Explanation:
54 = 5 tens and 4 ones
2 = 2 ones
when adding 2 + 54
we add the ones and keep the tens constant as their is no tens place in the first addend
2 ones + 5 tens + 4 ones  =  5 tens +(2+4)ones
5 tens + 6 ones
2 +54 = 56

Question 12.
70 + 29 = ____
Answer:

Explanation:
29 =  2 tens and 9 ones
70 = 7 tens
when adding 70 + 29
we add the tens and keep the ones constant as their is no ones place in the second addend
7 tens + 2 tens 9 ones  =  (7+ 2) tens + 9 ones
9 tens + 9 ones
70 + 29 = 99

GO DEEPER Make a sum of 45. Draw a quick picture. Write the number sentence.
Question 13.
Add ones to a two-digit number.
_____ + _____ = 45
Answer:
5 + 40 = 45

Question 14.
Add tens to a two-digit number.
_____ + _____ = 45
Answer:
20 + 25 = 45

Problem Solving • Applications

Choose a way to solve. Draw or write to show your work.
Question 15.
Rita picks 63 strawberries. Then she picks 30 more. How many strawberries does Rita pick?

_____ strawberries
Answer:
Number of strawberries Rita picked at first = 63
Number of more strawberries Rita picked = 30
Total number of strawberries Rita picked = 63 + 30 = 93.

Question 16.
THINK SMARTER
Kenny planted two rows of corn. He used 20 seeds in each row. He has 18 seeds left. How many seeds of corn did Kenny have?

_____ seeds
Answer:
Number of seeds in a row = 20
Number of rows = 2
Total number of seeds planted in 2 rows = 2 × 20 = 40
Number of seed left = 18
Total number of seeds = 40 + 18 = 58

Question 17.
There are 7 oak trees and 32 pine trees in the park. How many trees are in the park?

_____ trees

Number of oak trees = 7
Number of pine trees = 32
Total number of trees in park =7 + 32 = 39

Answer:

Question 18.
THINK SMARTER
Use the model. Draw to show how to add the tens.

Answer:

TAKE HOME ACTIVITY • Give your child the addition problems 25 + 3 and 25 + 30. Ask your child to explain how to solve each problem.

Use Models to Add Homework & Practice 8.5

Use and your MathBoard. Add the ones or tens. Write the sum.
Question 1.
44 + 5 = _____
Answer:

Explanation:
44 = 4 tens and 4 ones
5 = 5 ones
when adding   44 + 5
we add the ones and keep the tens constant as their is no tens place in the first addend
4 tens + 4 ones +5 ones  =  4 tens +(4+5)ones
4 tens + 9 ones = 49
44 + 5 = 49

Question 2.
16 + 70 = _____
Answer:

Question 3.
78 + 20 = _____
Answer:

Question 4.
52 + 7 = _____
Answer:

Explanation:
52 = 5 tens and 2 ones
7 = 7 ones
when adding  52 + 7
we add the ones and keep the tens constant as their is no tens place in the first addend
5 tens + 2 ones +7 ones  =  5 tens +(2+7)ones
5 tens + 9 ones = 59
52+ 7 = 59.

Question 5.
2 + 13 = _____
Answer:

Explanation:
2 = 2 ones
13 = 1 tens and 3 ones
when adding   2 +13
we add the ones and keep the tens constant as their is no tens place in the first addend
2 ones + 1 tens + 3 ones +  =  1 tens +(2+3)ones
1 tens + 5 ones = 15
2 + 13 = 15

Question 6.
73 + 4 = ____
Answer:

Explanation:
73 = 7 tens and 3 ones
4 = 4 ones
when adding  73 + 4
we add the ones and keep the tens constant as their is no tens place in the first addend
7 tens + 3 ones + 4 ones  =  7 tens +(3+4)ones
7 tens + 7 ones = 77
73 + 4 = 77

Question 7.
65 + 3 = ____
Answer:

Explanation:
65 = 6 tens and 5 ones
3 = 3 ones
when adding  65 + 3
we add the ones and keep the tens constant as their is no tens place in the first addend
6 tens + 5 ones +3 ones  =  6 tens +(5+3)ones
6 tens + 8 ones = 68
65 +3 =68..

Question 8.
20 + 25 = ____
Answer:

Explanation:
25 =  2 tens and 5 ones
20 = 2 tens
when adding 20 + 25
we add the tens and keep the ones constant as their is no ones place in the second addend
(2 tens ) + (2 tens+ 5 ones)  =  (2+ 2) tens + 5 ones
4 tens + 5 ones = 45
20 + 25 = 45

Question 9.
49 + 30 = _____
Answer:

Explanation:
49 =  4 tens and 9 ones
30 = 3 tens
when adding 49 + 30
we add the tens and keep the ones constant as their is no ones place in the second addend
(4 tens + 9 ones) + 3 tens  =  (4+ 3) tens + 9 ones
7 tens + 9 ones = 79
49 + 30 =79

Question 10.
81 + 8 = _____
Answer:

Explanation:
81 = 8 tens and 1 ones
8 = 8 ones
when adding 81 + 8
we add the ones and keep the tens constant as their is no tens place in the second addend
(8 tens + 1 ones) + 8 ones =  8 tens +(8+1)ones
8 tens + 9 ones
81 + 8 = 89.

Problem Solving

Solve. Draw or write to explain.
Question 11.
Maria has 21 marbles. She buys a bag of 20 marbles. How many marbles does Maria have now?
______ marbles
Answer:
Number of marbles Maria had = 21
Number of marbles Maria bought = 20
Total number of marbles Maria have now = 21 + 20 = 41.

Question 12.
WRITE
Write a story problem about 40 apples and 17 pears.
Answer:

Lesson Check
Question 1.
What is the sum? Write the number.
62 + 30 = _____
Answer:
62 + 30 = 92

Explanation:
62 =  6 tens and 2 ones
30 = 3 tens
when adding 62 + 30
we add the tens and keep the ones constant as their is no ones place in the second addend
6 tens + 2 ones + 3 tens  =  (6 + 3) tens + 2 ones
9 tens + 2 ones = 92

Question 2.
What is the sum? Write the number.
37 + 2 = _____
Answer:
37 + 2 = 39

Explanation:
37 = 3 tens and 7 ones
2 = 2 ones
when adding 37 + 2
we add the ones and keep the tens constant as their is no tens place in the first addend
3 tens + 7 ones + 2 ones =  3 tens +(7 + 2)ones
3 tens + 9 ones = 39
37 + 2 = 39

Spiral Review
Question 3.
Write two ways to make 15.
____ + ____ = 15
_____ + ____ = 15
Answer:
10 + 5 = 15
3 + 12 = 15

Question 4.
What number does the model show?

______
Answer:
The number represented in the model is 103
10 tens and 3 ones = 103
Explanation
In the model show
lines represents tens
dot represents ones
There are 10 line and 3 dots
100 + 3 = 103.

Lesson 8.6 Make Ten to Add

Essential Question How can making a ten help you add a two-digit number and a one-digit number?

Listen and Draw

Use . Draw to show how you can find the sum.
21 + 6 = _____
Answer:
21 + 6 = 27

MATHEMATICAL PRACTICES
Use Tools Explain how your model shows the sum of 21 + 6.
Answer:
21 + 6 = 27

Share and Show

Use . Draw to show how you make a ten. Find the sum.
Question 1.
49 + 3 = ?
_____ + ____ = _____
So, 49 + 3 = ____
Answer:
49 + 3 =
50 + 2 = 52
49 + 3 = 52

Explanation:
49  + 3 = 52
while adding the ones 9 + 3 we are borrowing 1 ones from 3 to make it tens.
Remaining 2 ones are added to the tens.
49 + 1 + 2 = 50 + 2 = 52.

On Your Own

MATHEMATICAL PRACTICE Use a Concrete Model
Use . Draw to show how you make a ten. Find the sum.
Question 2.
39 + 7 = _____
Answer:

Explanation:
39  + 7 = 46
while adding the ones 9 + 7 we are borrowing 1 ones from 7 to make it tens.
Remaining 6 ones are added to the tens.
39 + 1 + 6
= 40 + 6
= 46.

Question 3.
72 + 9 = _____
Answer:

Explanation:
72 + 9
while adding the ones 2 + 9 we are borrowing 8 ones from 9 ones to make it tens.
Remaining 1 ones are added to the tens.
72 + 9
=72 + 8 + 1
= 80 + 1
= 81.

Question 4.
58 + 5 = ____
Answer:

Explanation:
58 + 5 = 63
while adding the ones 8 + 5 we are borrowing 2 ones from 5 to make it tens.
Remaining 3 ones are added to the tens.
58 + 5
=58 + 2 +3
= 60 + 3
= 63

THINK SMARTER Solve. Write the numbers.
Question 5.

So, 46 + 7 = _____
Answer:
46 + 7 = 53

Question 6.

So, 53 + 8 = _____
Answer:
53 + 8 = 53 + 7 + 1 = 60 +1 = 61

Problem Solving • Applications

Choose a way to solve. Draw or write to show your work.
Question 7.
THINK SMARTER
Koby puts 24 daisies and 8 tulips in a vase. How many flowers are in the vase?

______ flowers
Answer:
Number of Daisies flower = 24
Number of Tulips flowers = 8
Total number of flowers = 24 + 8
24 + 6 + 2
30 + 2
32.

Question 8.
GO DEEPER
There are 27 ducklings in the water. 20 of them come out of the water. How many ducklings are still in the water?

______ ducklings
Answer:
Total Number of Ducklings in the water = 27
Number of ducklings came out of water = 20
Number of ducklings still in water = 27 – 20 = 7
7 ducklings are still in the water.

Question 9.
Write the missing addend.

Answer:
46 + 6 = 52
Explanation:
To find the missing addend
we need to subtract the 1st addend from the sum
52 – 46 =6.
6 is the missing addend.

Question 10.
THINK SMARTER
Use the model. Draw to show how to make a ten.

Answer:

Explanation:
58 + 5 = 63
while adding the ones 8 + 5 we are borrowing 2 ones from 5 to make it tens.
Remaining 3 ones are added to the tens.
58 + 5
=58 + 2 +3
= 60 + 3
= 63

TAKE HOME ACTIVITY • Ask your child to explain how to find the sum for 25 + 9.

Make Ten to Add Homework & Practice 8.6

Use . Draw to show how you make a ten. Find the sum.
Question 1.
26 + 5 = ______
Answer:

Explanation:
26 + 5
while adding the ones 6 + 5 we are borrowing 4 ones from 5 to make it tens.
Remaining 1 ones are added to the tens.
26 + 5
26 + 4 + 1
30 + 1
31

Question 2.
68 + 4 = _____
Answer:

Explanation:
68 + 4 = 72
while adding the ones 8 + 4 we are borrowing 2 ones from 4 to make it tens.
Remaining 2 ones are added to the tens.
68 + 4
68 + 2 + 2
70 + 2
72

Problem Solving

Choose a way to solve. Draw or write to show your work.
Question 3.
Debbie has 27 markers. Sal has 9 markers. How many markers do they have?
_______ markers
Answer:
Number of markers with Debbie = 27
Number of markers with Sal = 9
Total number of markers both have = 27 + 9 = 36.
36 markers.

Question 4.
WRITE
Use words or pictures to explain how to solve 44 + 7.
Answer:

Explanation:
44 + 7
while adding the ones 4 + 7 we are borrowing 6 ones from 7 ones to make it tens.
Remaining 1 ones are added to the tens.
44 + 7
44 + 6 + 1
50  +  1
51

Lesson Check
Question 1.
What is the sum? Write the number.
47 + 6 = _____
Answer:

Explanation:
47 + 6
while adding the ones 7 + 6 we are borrowing 3 ones from 6 ones to make it tens.
Remaining 3 ones are added to the tens.
47 + 6
47 + 3 + 3
50 + 3
53

Question 2.
What is the sum? Write the number.
84 + 8 = _____
Answer:

Explanation:
84 + 8
while adding the ones 4 + 8 we are borrowing 6 ones from 8 ones to make it tens.
Remaining 2 ones are added to the tens.
84 + 8
=84 + 6 + 2
= 90 + 2
= 92

Spiral Review
Question 3.
What number does the model show? Write the number.

Answer:
11 tens + 4 ones
110 + 4
114

Question 4.
Write a number to make the sentence true.
5 + 4 = 10 – ______
Answer:
5 + 4 = 10 – 1

Lesson 8.7 Use Place Value to Add

Essential Question How can you model tens and ones to help you add two-digit numbers?

Listen and Draw

Model the problem with . Draw a quick picture to show your work.

MATHEMATICAL PRACTICES
Describe How many tens? How many ones? How many in all?
Answer:

Share and Show

Draw a quick picture. Use tens and ones to add.
Question 1.

Answer:

On Your Own

MATHEMATICAL PRACTICE Make Connections Draw a quick picture. Use tens and ones to add.
Question 2.

Answer:

Question 3.

Answer:

Question 4.
THINK SMARTER
Solve.

Answer:

Question 5.

Answer:

Question 6.
THINK SMARTER
Draw a quick picture to solve. Han has 37 shells. Jonah had 15 shells. How many shells do they have?

_______
Answer:
Number of shells Han has = 37
Number of shells Jonah has =15
Total number of shells both has = 37 + 15 = 52

Problem Solving • Applications

Question 7.
THINK SMARTER
Draw a quick picture to solve. Kim has 24 marbles. Al has 47 marbles.How many marbles do they have?

______ marbles
Answer:
Number of marbles Kim has = 24
Number of marbles Al has =47
Total number of marbles both have = 24 + 47 = 71

Question 8.
GO DEEPER
Choose two addends from 11 to 49. Draw them. Add in any order to solve.

Answer:
35 and 45 are the two addends

Question 9.
THINK SMARTER
Write the addition that the model shows. Solve.

Answer:

Explanation:
There are 5 tens and 2 ones in the first addend and 1 tens and 5 ones in the second addend
(5 + 1) tens + (2 + 5 )ones = 6 tens + 7 ones = 60 + 7 = 67.

TAKE HOME ACTIVITY • Write the numbers 42 and 17. Have your child tell how to find the sum by adding the tens and ones.

Use Place Value to Add Homework & Practice 8.7

Draw a quick picture. Use tens and ones to add.
Question 1.

Answer:

Question 2.

Answer:

Problem Solving
Question 3.
Write two addition sentences you can use to find the sum. Then solve.

Answer:

Question 4.
WRITE
Write and solve a story problem to add 12 and 18.
Answer:
Ram has 12 five star chocolates. Ravi has 18 much chocolates. How many chocolates does they have..?
Answer:
Number of chocolates Ram have = 12
Number of chocolates Ravi have =18
Total number of chocolates does both have = 12 + 18 = 30.

Lesson Check
Question 1.
What is the sum? Write the number.

Answer:

Question 2.
What is the sum? Write the number.

Answer:

Spiral Review
Question 3.
I have 28 cubes. How many tens and ones can I make?
_____ tens ____ ones
_____ ten _____ ones
Answer:
You can make as below
2 tens 8 ones
1 ten 18 ones

Question 4.
What is the sum? Write the number.

Answer:

Lesson 8.8 Problem Solving • Addition Word Problems

Essential Question How can drawing a picture help you explain how to solve an addition problem?

Kelly gets 6 new toy cars. He already has 18 toy cars. How many does he have now?

Show how to solve the problem.

____________________
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _
_____________________
Answer:
Number of toy cars Kelly got = 6
Number of toy cars Kelly had = 18
Total number of toy cars with Kelly = 18 + 6 = 24.

HOME CONNECTION • Being able to show and explain how to solve a problem helps your child build on their understanding of addition.

Try Another Problem

Draw and write to solve. Explain your reasoning.
Question 1.
Aisha picks 60 blueberries to make a pie. Then she picks 12 more to eat. How many blueberries does Aisha pick?

Answer:
Number of blueberries Aisha picked to make a pie = 60
Number of blueberries Aisha picked to eat = 12
Total number of blueberries Aisha picked = 60 +12 = 72.

Question 2.
Yuri collects 21 cans for the school food drive. Leo collects 36 cans. How many cans do Yuri and Leo collect?

Answer:
Number of cans Yuri collects from school food drive =21
Number of cans Leo collects  = 36
Total number of cans Yuri and Leo collects = 21 + 36 =57.

MATHEMATICAL PRACTICES
Explain the addition strategy you used to solve Exercise 1.
Answer:

Share and Show

MATHEMATICAL PRACTICE Use Reasoning Draw and write to solve.
Question 3.
Tyra sees 48 geese in the field. Then she sees 17 more geese in the sky. How many geese does Tyra see?

______ geese
Answer:
Number of geese Tyra sees in the field = 48
Number of geese Tyra sees in the sky = 17
Total number of geese Tyra sees = 48 + 17 =  65.

Question 4.
Jade paints 35 circles and 45 triangles in art class. How many shapes does Jade paint?

_____ shapes
Answer:
Number of circles Jade paints = 35
Number of triangles Jade paints = 45
Total number of shapes Jade paints = 35 +45 =80

Question 5.
THINK SMARTER
It takes 10 hops to get across the yard. How many hops does it take to get across the yard and back?

_____ hops
Answer:
Number of hops to get across the yard = 10
Number of hops to get across the yard and back the yard = 2 times the hops to gt across the yard
10 + 10 = 20.

On Your Own

Choose a way to solve. Draw or write to explain.
Question 6.
THINK SMARTER
Julian sells 3 books of tickets for the school fair. Each book has 20 tickets. How many tickets does Julian sell?

_____ tickets
Answer:
Number of tickets in each book = 20 tickets
Number of books of tickets Julian sell = 3
Total number of tickets Julian sell = 3 × 20
60 tickets.

Question 7.
GO DEEPER
I have some red roses and pink roses. I have 14 red roses. I have 8 more pink roses than red roses. How many roses do I have?

______ roses
Answer:
Total number of red roses i have = 14
Number of pink roses are 8 more than red roses = 8 +14 = 22
Total number of roses i have = 14 + 22 = 36.
I have 36 roses.

Question 8.
THINK SMARTER+
Ella sees 27 . She sees 28 . How many does Ella see? Circle the number that makes this sentence true.

Answer:
Number of Ella sees = 27
Number of Ella sees = 28
Total number of  Ella sees = 27 + 28 = 55

TAKE HOME ACTIVITY • Ask your child to solve 16 + 7, 30 + 68, and 53 + 24. Ask him or her to explain how they solved each problem.

Problem Solving • Addition Word Problems Homework & Practice 8.8

Draw and write to solve. Explain your reasoning.
Question 1.
Jean has 10 fish. She gets 4 more fish. How many fish does she have now?
____________________________
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
_____________________________
_____ fish
Answer:
Number of fish Jean has = 10
Number of more fish she gets = 4
Total number of fish she have = 10 + 4 = 14

Explanation:
Given
Jean has 10 fish = 10
She gets more fish = 4
now on adding the both we get the total fish she have = 10 + 4 = 14.

Question 2.
Courtney buys 2 bags of apples. Each bag has 20 apples. How many apples does she buy?
____________________________
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
_____________________________
_____ apples
Answer:
Number of bags of apples Courtney buys = 2
Number of apples in each bag = 20
Total number of apples she buy = 2 × 20 = 40
20 + 20 = 40 apples.

Question 3.
John bakes 18 blueberry muffins and 12 banana muffins for the bake sale. How many muffins does he bake?
_____________________________
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
_____________________________
______ muffins
Answer:
Number of blueberry muffins John bakes = 18
Number of banana muffins John bakes = 12
Total number of muffins John bakes = 18 + 12 = 30 muffins.

Question 4.
WRITE
Draw a picture to show how to find 12 + 37.
Answer:

Lesson Check
Question 1.
Amy has 9 books about dogs. She has 13 books about cats. How many books does she have about dogs and cats? Solve. Show your work. Write the number.
______ books
Answer:
Number of books about dogs Amy has = 9
Number of books about cats Amy has = 13
Total number of books about dogs and cats Amy has = 9 + 13 = 21 books.

Spiral Review
Question 2.
What is the sum for 4 + 2 + 4? Write the number.
______
Answer:
4 + 2 + 4 = 10

Question 3.
Solve. Use the ten frame to make a ten to help you subtract. Ray has 14 pens. 8 are black. The rest are blue. How many pens are blue?
______ blue pens

Answer:
Total number of pens = 14
Number of black pens = 8
Number of blue tens = total – black pens
14 – 8 = 6
8 + 6 = 14.

Lesson 8.9 Related Addition and Subtraction

Essential Question How can you use a hundred chart to show the relationship between addition and subtraction?

Listen and Draw

Use the hundred chart to solve the problems.

MATHEMATICAL PRACTICES
Apply Describe how you can use a hundred chart to find the sum and the difference.
Answer:

Share and Show

Use the hundred chart to add and subtract. Count up and back by tens.
Question 1.
56 + 20 = _____
76 – 20 = ______
Answer:

Explanation:
The given question is a tens count addition and subtraction.
first sentence = 56 + 20 = 76
it is represented with blue color. its a down flow. So, from 56 we count 2 tens down.
Second sentence = 76 – 20 = 56
it is represented with orange color. its a up flow. So, from 76 we count 2 tens up.

Question 2.
48 + 50 = _____
98 – 50 = _____
Answer:

Explanation:
The given question is a tens count addition and subtraction.
first sentence = 48 + 50 = 98
it is represented with blue color. its a down flow. So, from 48 we count 5 tens down.
Second sentence = 98 – 50 = 48
it is represented with orange color. its a up flow. So, from 98 we count 5 tens up.

On Your Own

Answer:

Explanation:
The given question is a tens count addition and subtraction.
first sentence = 28 + 60 = 88
it is represented with blue color. its a down flow. So, from 28 we count 6 tens down.
Second sentence = 88 – 60 = 28
it is represented with orange color. its a up flow. So, from 88 we count 6 tens up.

MATHEMATICAL PRACTICE Look for a Pattern Use the hundred chart to add and subtract. Count up and back by tens.
Question 3.
36 + 30 = _____
66 – 30 = ______
Answer:

Explanation:
The given question is a tens count addition and subtraction.
first sentence = 36 + 30 = 66
it is represented with blue color. its a down flow. So, from 36 we count 3 tens down.
Second sentence = 66 – 30 = 36
it is represented with orange color. its a up flow. So, from 66 we count 3 tens up.

Question 4.
73 + 10 = _____
83 – 10 = ______
Answer:

Explanation:
The given question is a tens count addition and subtraction.
first sentence = 73 + 10 = 83
it is represented with blue color. its a down flow. So, from 73 we count 1 tens down.
Second sentence = 83 – 10 = 73
it is represented with orange color. its a up flow. So, from 83 we count 1 tens up.

Question 5.
25 + 70 = _______
95 – 70 = ______
Answer:

Explanation:
The given question is a tens count addition and subtraction.
first sentence = 25 + 70 = 95
it is represented with blue color. its a down flow. So, from 25 we count 7 tens down.
Second sentence = 95 – 70 = 25
it is represented with orange color. its a up flow. So, from 95 we count 7 tens up.

Question 6.
18 + 40 = ______
58 – 40 = ______
Answer:

Explanation:
The given question is a tens count addition and subtraction.
first sentence = 18 + 40 = 58
it is represented with blue color. its a down flow. So, from 18 we count 4 tens down.
Second sentence = 58 – 40 = 18
it is represented with orange color. its a up flow. So, from 58 we count 4 tens up.

Question 7.
THINK SMARTER
Solve. There are 73 bees in a hive. 10 bees fly away. Then 10 more bees fly into the hive. How many bees are in the hive now?

______ bees
Answer:
Total number of bees in hive = 73
Number of bees flew away = 10
Number of bees flew back into the hive = 10
Total number of bees in the hive = 73 – 10 = 63 + 10 = 73.

Explanation:
The given question is a tens count addition and subtraction.
first sentence = 73 +10 = 83
it is represented with blue color. its a down flow. So, from 73 we count 1 tens down.
Second sentence = 83 – 10 = 73
it is represented with orange color. its a up flow. So, from 83 we count 1 tens up.

Problem Solving • Applications

Solve. Draw or write to show your work.
Question 8.
THINK SMARTER
There are 38 ants on a rock. 10 move to the grass. 10 walk up a tree. How many ants are on the rock now?

______ ants
Answer:
Total  number of ants on the rock = 38
Number of ants move to grass = 10
Number of ants walk up the tree = 10
Number of ants on the rock = 38 – 10 – 10 = 18 ants.

Question 9.
GO DEEPER
There are 27 birds at the park. 50 more birds come. Then 50 fly away. How many birds are at the park now?

_______ birds
Answer:
Number of birds in the park = 27
Number of birds came into the park = 50
Number of birds flew away =50
Total number of birds in the park = 27 + 50 = 77 – 50 = 27.

Explanation:
The given question is a tens count addition and subtraction.
first sentence = 27+ 50 = 77
it is represented with blue color. its a down flow. So, from 27 we count 5 tens down.
Second sentence = 77 – 50 = 27
it is represented with orange color. its a up flow. So, from 77 we count 5 tens up.

Question 10.
THINK SMARTER
Match the math sentences that count up and back by tens.

Answer:

TAKE HOME ACTIVITY • On slips of paper, write 36 + 40 and 76 − 40. Ask your child to explain how to use the hundred chart to count up and back by tens to find the sum and the difference.

Related Addition and Subtraction Homework & Practice 8.9

Use the hundred chart to add and subtract. Count up and back by tens.

Question 1.
16 + 60 = _____
76 – 60 = ______
Answer:

Explanation:
The given question is a tens count addition and subtraction.
first sentence = 16 + 60
it is represented with blue color. its a down flow. So, from 16 we count 6 tens down.
Second sentence = 76 – 60
it is represented with orange color. its a up flow. So, from 76 we count 6 tens up.

Question 2.
61 + 30 = ______
91 – 30 = ______
Answer:

Explanation:
The given question is a tens count addition and subtraction.
first sentence = 61 + 30
it is represented with blue color. its a down flow. So, from 61 we count 3 tens down.
Second sentence =91 – 30
it is represented with orange color. its a up flow. So, from 91 we count 3 tens up.

Question 3.
64 + 20 = _____
84 – 20 = ______
Answer:

Explanation:
The given question is a tens count addition and subtraction.
first sentence = 64 + 20
it is represented with blue color. its a down flow. So, from 64 we count 2 tens down.
Second sentence = 84 – 20
it is represented with orange color. its a up flow. So, from 84 we count 2 tens up.

Problem Solving

Choose a way to solve. Draw or write to show your work.
Question 4.
There are 53 leaves in a tree. 20 leaves blow away. How many leaves are left in the tree?
______ leaves
Answer:
Total number of leaves on the tree = 53 leaves
Number of leaves blow away = 20
Number of leaves left on the tree = 53 – 20 = 33
33 leaves.

Question 5.
WRITE
Write a number sentence to subtract 3 tens from 93.
Answer:
93 -30 = 63.

Explanation:
The given question is a tens count subtraction.
First sentence = 93 – 30 = 63.
it is represented with orange color. its a up flow. So, from 93 we count 3 tens up.

Lesson Check

Question 1.
What is 78 − 20? Write the number.
______
Answer:
78 – 20 = 58

Explanation:
First sentence = 78 – 20
it is represented with orange color. its a up flow. So, from 78 we count 2 tens up.

Question 2.
What is 37 + 50? Write the number.
______
Answer:
37 + 50 = 87

Explanation:
The given question is a tens count addition and subtraction.
first sentence = 37 + 50
it is represented with blue color. its a down flow. So, from 37 we count 5 tens down.

Spiral Review
Question 3.
Use the model. What is the difference of 7 − 3? Write the number.

7 – 3 = ______
Answer:
7 – 3 = 4

Explanation:
First sentence = 7 – 3 = 4
it is represented with orange color. its a backward flow. So, from 7 we count 3 ones back to reach 4

Question 4.
What is the sum for 0 + 7? Write the number.
______
Answer:

Explanation:
The given question is a tens count addition and subtraction.
first sentence = 0 + 7 = 7
it is represented with blue color. its a forward flow. So, from 1 we count 6 ones to reach 7.

Lesson 8.10 Practice Addition and Subtraction

Essential Question What different ways can you use to add and subtract?

Listen and Draw

Draw to show the problem. Then solve.

MATHEMATICAL PRACTICES
Describe How did you solve the problem?
Answer:

Model and Draw

What ways have you learned to add and subtract?

Answer:

Share and Show

Add or subtract.
Question 1.
30 + 60 = ______
Answer:

Explanation:
30 =  3 tens
60 = 6 tens
when adding 30+60
we add the tens
3 tens +  6 tens   =  (3+6) tens
9 tens
90.

Question 2.
73 + 5 = ______
Answer:

Explanation:
73 =  7 tens and 3 ones
5 = 5 ones
when adding 73 + 5
we add the ones and keep the tens constant as their is no tens place in the second addend
7 tens + 3 ones +  5 ones  =  7 tens +(3 + 5) ones
7 tens + 8 ones
70 + 8 = 78.

Question 3.
10 – 4 = _____
Answer:
10 – 4 = 6

Explanation:
We subtract the subtrahend from the minuend to get the difference.
10 – 4 = 6
10 is minuend and 40 is subtrahend and 6 is difference of both
10 – 4 = 6

Question 4.
29 + 4 = _____
Answer:

Explanation:
29 + 4
while adding the ones 9 + 4 we are borrowing 1 ones from 4 ones to make it tens.
Remaining 3 ones are added to the tens.
29 + 4
29 +1 +3
30 + 3
33.

Question 5.
9 + 9 = ____
Answer:

Explanation:
9 + 9
while adding the ones 9 +9 we are borrowing 1 ones from 9 ones to make it tens.
Remaining 8 ones are added to the tens.
9 + 9
9 + 1 + 8
10 + 8
18.

Question 6.
5 + 6 = ____
Answer:

Explanation:
5 + 6
while adding the ones 5 + 6 we are borrowing 5 ones from 6 ones to make it tens.
Remaining 1 ones are added to the tens.
5 + 6
5 + 5 + 1
10 + 1
11.

Question 7.
25 + 54 = _____
Answer:

Question 8.
15 – 8 = ______
Answer:
7 + 8 = 15
15 – 8 = 7
Explanation:
We subtract the subtrahend from the minuend to get the difference.
15 – 8 = 7
15 is minuend and 8 is subtrahend and 7 is difference of both
15 – 8 = 7
7.

Question 9.
40 + 10 = _____
Answer:

Question 10.
40 – 10 = _____
Answer:

Explanation:
We subtract the subtrahend from the minuend to get the difference.
40 – 10 = 30
40 is minuend and 10 is subtrahend and 30 is difference of both
ONE line represents tens
1 line = 10
40 – 10 = 30
30 = 3 lines

Question 11.
14 – 7 = _____
Answer:

Explanation:
We subtract the subtrahend from the minuend to get the difference.
14 – 7 = 7
14 is minuend and 7 is subtrahend and 7 is difference of both
14 – 7
7.

Question 12.
90 – 70 = _____
Answer:

Explanation:
We subtract the subtrahend from the minuend to get the difference.
90 – 70
90 is minuend and 70 is subtrahend and 20 is difference of both
ONE line represents tens
1 line = 10
90 – 70 = 20
20.

Question 13.
86 + 12 = _____
Answer:

Question 14.
1 + 9 = _____
Answer:

Question 15.
6 + 7 = _____
Answer:

Explanation:
6 + 7 = 13
while adding the ones 6 + 7  we are borrowing 4 ones from 7 ones to make it tens.
Remaining 3 ones are added to the tens.
6+7
6 + 4 + 3
10 + 3
13.

Question 16.
9 – 2 = _____
Answer:
7 + 2 = 9
9 – 2 = 7

Explanation:
We subtract the subtrahend from the minuend to get the difference.
9 – 2
9 is minuend and 2 is subtrahend and 7 is difference of both
9 – 2
7.

Question 17.
8 + 31 = _____
Answer:

Explanation:
31 =  3 tens and 1 ones
8 = 8 ones
when adding 8 +31
we add the ones and keep the tens constant as their is no tens place in the first addend
8 ones + 3 tens + 1 ones    =  3 tens +(8 + 1) ones
3 tens + 9 ones
30 + 9 = 39.

Question 18.
50 + 11 = _____
Answer:

Explanation:
50 =  5 tens
11 = 1 tens and 1 ones
when adding 50 + 11
we add the tens and keep the ones constant as their is no ones place in the second addend
5 tens + 1 tens + 1 ones   =  (5 + 1) tens +1 ones
6 tens + 1 ones
60 + 1 = 61.

On Your Own

MATHEMATICAL PRACTICE Use Repeated Reasoning Add or subtract.
Question 19.

Answer:
12 – 3 = 9
9 + 3 = 12

Explanation:
We subtract the subtrahend from the minuend to get the difference.
12 – 3 = 9
12 is minuend and 3 is subtrahend and 9 is difference of both
12 – 3 = 9.

Question 20.

Answer:

Question 21.

Answer:

Question 22.

Answer:

Question 23.

Answer:

Question 24.

Answer:

Explanation:
16 + 7
while adding the ones 6 + 7 we are borrowing 4 ones from 7 ones to make it tens.
Remaining 3 ones are added to the tens.
16 + 7
16 + 4 + 3
20 + 3
23.

Question 25.

Answer:

Explanation:
Any number subtracted from the the number itself gives the difference zero.0

Question 26.

Answer:

Explanation:
3 + 8
while adding the ones 3 + 8 we are borrowing 7 ones from 1 ones to make it tens.
Remaining 1 ones are added to the tens.
3 + 8
3 + 7 + 1
10 + 1
11.

Question 27.

Answer:

Question 28.

Answer:

Explanation:
We subtract the subtrahend from the minuend to get the difference.
60 – 30 = 30
60 is minuend and 30 is subtrahend and 30 is difference of both
ONE line represents tens
1 line = 10
60 – 30 = 30
30.

Question 29.

Answer:

Question 30.

Answer:

Question 31.

Answer:

Question 32.

Answer:

Question 33.

Answer:

Question 34.

Answer:

Solve. Write or draw to explain.
Question 35.
THINK SMARTER
Lara collects 8 more stamps than Samson. Samson collects 39 stamps. How many stamps does Lara collect?
______ stamps
Answer:
Number of Stamps Samson collect = 39
Number of Stamps Lara Collect = 8 more than Samson = 8 + 39 = 47

Problem Solving • Applications

Solve. Write or draw to explain.
Question 36.
THINK SMARTER
Jane drew some stars. Then she drew 9 more stars. Now there are 19 stars. How many stars did Jane draw first?

Answer:
Jane drew some stars =x
Jane drew again some more stars = x + 9
Now total Number of stars = 19
Number of stars Jane draw first = x
x + 9 = 19
x =19 – 9 = 10
Number of stars Jane draw first = 10

Question 37.
THINK SMARTER
Adel drew 10 more stars than Charlie. Charlie drew 24 stars. How many stars did Adel draw?
______ stars
Answer:
Number of stars Charlie drew = 24 stars.
Adel drew 10 more stars than Charlie. = 24 + 10 = 34
Number of stars adel draw = 34

Question 38.
GO DEEPER
Write three ways to get a sum of 49.

Answer:
20 + 29 = 49
35 + 14 = 49
40 + 9 = 49

Question 39.
THINK SMARTER
Find the sum of 23 and 30. Use any way to add.
23 + 30 = _______
Explain how you solved the problem.
Answer:
23 + 30 = 53
30 + 23 = 53
Explanation :
Whatever may be the order of addends but the sum always remains the same .

TAKE HOME ACTIVITY • Have your child explain how he or she solved Exercise 36.

Practice Addition and Subtraction Homework & Practice 8.10

Add or subtract.
Question 1.

Answer:

Question 2.

Answer:

Question 3.

Answer:

Question 4.

Answer:

Question 5.

Answer:

Question 6.

Answer:

Question 7.

Answer:

Question 8.

Answer:

Question 9.

Answer:

Question 10.

Answer:

Problem Solving
Solve. Write or draw to explain.
Question 11.
Andrew read 17 pages of his book before dinner. He read 9 more pages after dinner. How many pages did he read?
______ pages
Answer:
Number of pages Andrew read before dinner = 17
Number of pages Andrew read after dinner = 9 more = 9 + 17 = 26
Number of pages Andrew read = 17 + 26 = 43

Question 12.
WRITE
Write two ways you could use to find 5 + 8.
Answer:
5 + 8 = 13
8 + 5 = 13
Explanation :
Whatever may be the order of addends but the sum always remains the same .

Lesson Check
Question 1.
What is the sum of 20 + 18? Write the sum.
20 + 18 = ______
Answer:
20 + 18 = 38
Explanation :
Adding addend 20 and 18  gives the sum 38 .

Question 2.
What is the difference of 90 − 50? Write the difference.
90 – 50 = ______
Answer:
90 – 50 = 40
Explanation :
the Minuend 90 is subtrahend with 50 gives the difference 40

Spiral Review
Question 3.
Use the model. What number sentence does this model show? Write the number sentence that the model shows.

Answer:
10 + 3 = 13

Question 4.
Solve. Mo had some toys. He gave 6 away. Now he has 6 toys. How many toys did Mo start with?
______ toys
Answer:
Number of toys with Mo = x
Number of toys Mo gave = 6 away = x – 6
Number of toys with Mo now = 6
x – 6 = 6
x = 6 + 6 = 12
Number of toys Mo started with = 12

Two-Digit Addition and Subtraction Review/Test

Question 1.
Write each addition or subtraction problem in the box below the answer.

Answer:

Question 2.
Choose all the ways that name the model.

Answer:

Question 3.
Sasha has 70 stickers. She uses 40 of them. How many stickers are left? Show your work.
________ stickers
Answer:
Number of stickers Sasha has = 70
Number of stickers she used = 40
Number of stickers left = 70 – 40 = 30.

Question 4.
THINK SMARTER+
Use the hundred chart to add. Count on by ones or tens.
37 + 5 = ______

Explain how you used the chart to find the sum.
Answer:

37  +  5  = 42.
Sum = 42.

Question 5.
Use the model. Draw to show how to add the tens.

Answer:

Question 6.
Use the model. Draw to show how to make a ten.

Answer:

Question 7.
Write the addition sentence that the model shows. Solve.

Answer:

Question 8.
What is the difference?

Answer:

Question 9.
What is the sum?

Answer:

Question 10.
Luis has 16 .
He has 38
1.
How many leaves does Luis have? Circle the number
that makes the sentence true.
Luis has 2 leaves.
Answer:
Number of leaves Luis has = 16
Number of leaves = 38
Total number of leaves Luis have = 16 + 38 = 54

Question 11.
Match the math sentences that count up and back by tens.

Answer:

Question 12.
GO DEEPER
Find the sum of 62 and 15. Use any way to add.
62 + 15 = _______
Explain how you solved the problem.
Answer:

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Go Math Grade 2 Chapter 4 Answer Key 2-Digit Addition

To achieve high score s in Grade 2, students need to solve all questions and exercises included in Go Math Grade 2. So, teachers and students can find this Go Math Answer Key for Grade 2 more helpful in raising students’ scores and supporting teachers to educate the students. With the help of the Go Math Primary School Grade 2 Answer Key, you can think deeply regarding what you are learning, and you will really learn math easily just like that.

Curious about Math

The keys of a modern piano are made from wood or plastic. A modern piano has 36 black keys and 52 white keys. How many keys is this in all?

Answer:
The number of keys = 88.

Explanation:
In the above-given question,
given that,
There are 36 black keys and 52 white keys.
36 + 52 = 88.
The total number of keys = 88.

2-Digit Addition Show What You Know

Addition Patterns
Add 2. Complete each addition sentence.

Question 1.

Answer:
The number is 3.

Explanation:
In the above-given question,
given that,
the numbers are 1 and 2.
1 + 2 = 3.
The number is 3.

Question 2.
2 + _2_ = _4_

Answer:
The number is 4.

Explanation:
In the above-given question,
given that,
the numbers are 2 and 2.
2 + 2 = 4.
The number is 4.

Question 3.
3 + _2_ = _5_

Answer:
The number is 5.

Explanation:
In the above-given question,
given that,
the numbers are 3 and 2.
3 + 2 = 5.
The number is 5.

Question 4.
4 + _2_ = _6_

Answer:
The number is 6.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 2.
4 + 2 = 6.
The number is 6.

Question 5.
5 + _2_ = _7__

Answer:
The number is 7.

Explanation:
In the above-given question,
given that,
the numbers are 5 and 2.
5 + 2 = 7.
The number is 7.

Question 6.
6 + _2_ = _8__

Answer:
The number is 8.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 2.
6 + 2 = 8.
The number is 8.

Addition Facts
Write the sum

Question 7.

Answer:
The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 3.
7 + 3 = 10.
so the sum is 10.

Question 8.

Answer:
The sum is 16.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 8.
8 + 8 = 16.
so the sum is 16.

Question 9.

Answer:
The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 6 and 7.
6 + 7 = 13.
so the sum is 13.

Question 10.

Answer:
The sum is 8.

Explanation:
In the above-given question,
given that,
the numbers are 4 and 4.
4 + 4 = 8.
so the sum is 8.

Question 11.

Answer:
The sum is 14.

Explanation:
In the above-given question,
given that,
the numbers are 9 and 5.
9 + 5 = 14.
so the sum is 14.

Question 12.

Answer:
The sum is 15.

Explanation:
In the above-given question,
given that,
the numbers are 8 and 7.
8 + 7 = 15.
so the sum is 15.

Tens and Ones
Write how many tens and ones for each number.

Question 13.
43

_4_ tens _3_ ones

Answer:
There are 4 tens and 3 ones.

Explanation:
In the above-given question,
the number is 43.
there are 4 tens and 3 ones.
40 + 3 = 43.
the number is 43.

Question 14.
68

_6_ tens _8_ ones

Answer:
There are 6 tens and 8 ones.

Explanation:
In the above-given question,
the number is 68.
there are 6 tens and 8 ones.
60 + 8 = 68.
the number is 68.

2-Digit Addition Vocabulary Builder

Visualize It
Use review words to fill in the graphic organizer.

Answer:
The numbers 7 and 4 are addends.
The number 11 is the sum.

Explanation:
In the above-given question,
given that,
the number is 7 + 4 = 11.
the numbers 7 and 4 are addends.
the number 11 is the sum.

Understand Vocabulary

Question 1.
Write a number with the digit 3 in the tens place.
__32__

Answer:
The number is 32.

Explanation:
In the above-given question,
given that,
the number with the digit 3 in the tens place.
30 + 2 = 32.
so the number is 32.

Question 2.
Write a number with the digit 5 in the ones place.
_25__

Answer:
The number is 25.

Explanation:
In the above-given question,
given that,
the number with the digit 5 in the ones place.
20 + 5 = 25.
so the number is 25.

Question 3.
Write a number that has the same digit in the tens place and in the ones place.
__11__

Answer:
The number is 11.

Explanation:
In the above-given question,
given that,
the number has the same digit in the tens place and in the ones place.
10 + 1 = 11.
so the number is 11.

Question 4.
Write a number with digits that have a sum of 8.
_26___

Answer:
The number is 26.

Explanation:
In the above-given question,
given that,
the number with digits that have a sum of 8.
2 + 6 = 8.
so the number is 26.

2-Digit Addition Game: What is the Sum?

Materials

Play with a partner.

1. Put your on START.
2. Toss the . Move that many spaces.
3. Say the sum. Your partner checks your answer.
4. If your answer is correct, find that number in the middle of the board. Put one of your on that number.
5. Take turns until both players reach FINISH. The player with more on the board wins.

Answer:
The numbers are 17 and 11.

Explanation:
In the above-given question,
given that,
when 1st player tosses the sum is 17.
9 + 8 = 17.
when the 2nd player tosses the sum is 11.
6 + 5 = 11.

2-Digit Addition Vocabulary Game

Going Places with GOMATH! Words

Concentration

For 2 to 3 players
Materials
• 1 set of word cards
How to Play

1. Put the cards face-down in rows. Take turns to play.
2. Choose two cards. Turn the cards face-up.
• If the cards match, keep the pair and take another turn.
• If the cards do not match, turn them over again.
3. The game is over when all cards have been matched. The players count their pairs. The player with the most pairs wins.

The Write Way

Reflect
Choose one idea. Write about it in the space below.

• Explain how drawing quick pictures helps you add 2-digit numbers.
• Tell about all the different ways you can add 2-digit numbers.
• Write three things you know about regrouping.

Answer:
The quick pictures can help easily by seeing the figures.
We can add 2 digit numbers in many different ways.

Explanation:
In the above-given question,
given that,
the figures that can be made easily by seeing is known as quick pictures.
we can add 2 digit numbers in many different ways.

Lesson 4.1 Break Apart Ones to Add

Essential Question
How does breaking apart a number make it easier to add?

Listen and Draw

Use . Draw to show what you did.

Answer:
The number is 43.

Explanation:
In the above-given question,
given that,
the number is divided into two parts.
they are tens digit and ones digit.
4 is in tens digit and 3 is in 1s digit.
40 + 3 = 43.
The number is 43.

Math Talk
MATHEMATICAL PRACTICES

Describe what you did with the blocks.

Model and Draw

Break apart ones to make a ten. Use this as a way to add.

Answer:
The number is 35.

Explanation:
In the above-given question,
given that,
27 + 8 = 35.
27 + 3 + 5.
30 + 5 = 35.
the number is 35.

Share and Show MATH BOARD

Draw quick pictures. Break apart ones to make a ten. Then add and write the sum.

Question 1.
15 + 7 = _22__

Answer:
The number is 22.

Explanation:
In the above-given question,
given that,
15 + 7 = 22.
15 + 5 + 2.
20 + 2 = 22.
the number is 22.

Question 2.
26 + 5 = _31_

Answer:
The number is 31.

Explanation:
In the above-given question,
given that,
26 + 5 = 31.
26 + 3 + 2.
29 + 2 = 31.
the number is 31.

Question 3.
37 + 8 = _45_

Answer:
The number is 45.

Explanation:
In the above-given question,
given that,
37 + 8 = 45.
37 + 5 + 3.
42 + 3 = 45.
the number is 45.

Question 4.
28 + 6 = _35_

Answer:
The number is 35.

Explanation:
In the above-given question,
given that,
27 + 8 = 35.
27 + 3 + 5.
30 + 5 = 35.
the number is 35.

On Your Own

Break apart ones to make a ten. Then add and write the sum.

Question 5.
23 + 9 = _32_

Answer:
The number is 32.

Explanation:
In the above-given question,
given that,
23 + 9 = 32.
23 + 5 + 4.
28 + 4 = 32.
the number is 32.

Question 6.
48 + 5 = _53_

Answer:
The number is 53.

Explanation:
In the above-given question,
given that,
48 + 5 = 53.
48 + 3 + 2.
51 + 2 = 53.
the number is 53.

Question 7.
18 + 5 = _23_

Answer:
The number is 23.

Explanation:
In the above-given question,
given that,
18 + 5 = 23.
18 + 3 + 2.
21 + 2 = 23.
the number is 23.

Question 8.
33 + 9 = _42_

Answer:
The number is 42.

Explanation:
In the above-given question,
given that,
33 + 9 = 42.
33 + 5 + 4.
38 + 4 = 42.
the number is 42.

Question 9.
27 + 6 = _33_

Answer:
The number is 33.

Explanation:
In the above-given question,
given that,
27 + 6 = 33.
27 + 3 + 3.
30 + 3 = 33.
the number is 33.

Question 10.
49 + 4 = _53_

Answer:
The number is 53.

Explanation:
In the above-given question,
given that,
49 + 4 = 53.
49 + 2 + 2.
51 + 2 = 53.
the number is 53.

Question 11.
GO DEEPER
Alex sets up 32 small tables and 9 large tables in a room. Then he sets up 5 more large tables along a wall. How many tables does Alex set up?
_46_ tables

Answer:
The number of tables = 46.

Explanation:
In the above-given question,
given that,
Alex sets up 32 small tables and 9 large tables in a room.
Then he sets up 5 more large tables along a wall.
32 + 9 + 5 = 46.
The number of tables = 46.

Question 12.
THINK SMARTER
Bruce sees 29 oak trees and 4 maple trees at the park. Then he sees double the number of pine trees as maple trees. How many trees does Bruce see?

__41_ trees

Answer:
The number of trees Bruce see = 41.

Explanation:
In the above-given question,
given that,
Bruce sees 29 oak trees and 4 maple trees at the park.
Then he sees double the number of pine trees as maple trees.
29 + 4 + 8 = 46.
The number of trees = 41.

Problem Solving • Applications

Solve. Write or draw to explain.

Question 13.
GO DEEPER Megan has 38 animal pictures, 5 people pictures, and 3 insect pictures. How many pictures does she have?

_46_ pictures

Answer:
The number of pictures = 46.

Explanation:
In the above-given question,
given that,
Megan has 38 animal pictures, 5 people pictures, and 3 insect pictures.
38 + 5 + 3 = 46.
The number of tables = 46.

Question 14.
MATHEMATICAL PRACTICES
Analyze Jamal has a box with 22 toy cars in it. He puts 9 more toy cars into the box. Then he takes 3 toy cars out of the box. How many toy cars are in the box now?

_22_ toy cars

Answer:
The number of toy cars in the box now = 28.

Explanation:
In the above-given question,
given that,
Jamal has a box with 22 toy cars in it.
He puts 9 more toy cars into the box.
Then he takes 3 toy cars out of the box.
22 + 9 – 3 = 28.
The number of cars in the box now = 28.

Question 15.
THINK SMARTER
Dan has 16 pencils. Quentin gives him 5 more pencils. Choose all the ways you can use to find how many pencils Dan has in all.

Answer:
The number of pencils Dan has in all = 21.

Explanation:
In the above-given question,
given that,
Dan has 16 pencils.
Quentin gives him 5 more pencils.
16 + 5 = 21.
16 + 4 + 1 = 21.
The number of pencils = 21.

TAKE HOME ACTIVITY
• Say a number from 0 to 9. Have your child name a number to add to yours to have a sum of 10.

Break Apart Ones to Add Homework & Practice 4.1

Break apart ones to make a ten. Then add and write the sum.

Question 1.
62 + 9 = _71_

Answer:
The number is 71.

Explanation:
In the above-given question,
given that,
62 + 9 = 71.
62 + 5 + 4.
67 + 4 = 71.
the number is 71.

Quentin 2.
27 + 7 = _34_

Answer:
The number is 34.

Explanation:
In the above-given question,
given that,
27 + 7 = 34.
27 + 3 + 4.
30 + 4 = 34.
the number is 34.

Question 3.
28 + 5 = _33_

Answer:
The number is 33.

Explanation:
In the above-given question,
given that,
28 + 5 = 33.
28 + 2 + 3.
30 + 3 = 33.
the number is 33.

Quentin 4.
17 + 8 = _25_

Answer:
The number is 25.

Explanation:
In the above-given question,
given that,
17 + 8 = 25.
17 + 5 + 3.
22 + 3 = 25.
the number is 25.

Question 5.
57 + 6 = _63_

Answer:
The number is 63.

Explanation:
In the above-given question,
given that,
57 + 6 = 63.
57 + 3 + 3.
60 + 3 = 63.
the number is 63.

Question 6.
23 + 9 = _32_

Answer:
The number is 32.

Explanation:
In the above-given question,
given that,
23 + 9 = 32.
23 + 6 + 3.
29 + 3 = 32.
the number is 32.

Question 7.
39 + 7 = _46_

Answer:
The number is 46.

Explanation:
In the above-given question,
given that,
39 + 7 = 46.
39 + 4 + 3.
43 + 3 = 46.
the number is 46.

Question 8.
26 + 5 = _31_

Answer:
The number is 31.

Explanation:
In the above-given question,
given that,
26 + 5 = 31.
26 + 3 + 2.
29 + 2 = 31.
the number is 31.

Question 9.
13 + 18 = _31_

Answer:
The number is 31.

Explanation:
In the above-given question,
given that,
13 + 18 = 31.
13 + 10 + 8.
23 + 8 = 31.
the number is 31.

Question 10.
18 + 7 = _25_

Answer:
The number is 25.

Explanation:
In the above-given question,
given that,
18 + 7 = 25.
18 + 4 + 3.
22 + 3 = 25.
the number is 25.

Problem Solving

Solve. Write or draw to explain.

Question 11.
Jimmy had 18 toy airplanes. His mother bought him 7 more toy airplanes. How many toy airplanes does he have now?

_25_ toy airplanes

Answer:
The number of toy airplanes = 25.

Explanation:
In the above-given question,
given that,
Jimmy had 18 toy airplanes.
His mother bought him 7 more toy airplanes.
18 + 7 = 25.
The number of toy airplanes = 25.

Question 12.
WRITE Math
Explain how you would find the sum of 46 + 7.
_________46___+___3___________
___________53______________

Answer:
The sum is 53.

Explanation:
In the above-given question,
given that,
the numbers are 46 and 7.
46 + 7 = 53.

Lesson Check

Question 1.
What is the sum?
26 + 7 = _33_

Answer:
The sum is 33.

Explanation:
In the above-given question,
given that,
the numbers are 26 and 7.
26 + 7 = 33.

Question 2.
What is the sum?
15 + 8 = _23_

Answer:
The sum is 23.

Explanation:
In the above-given question,
given that,
the numbers are 15 and 8.
15 + 8 = 23.

Spiral Review

Question 3.
Hannah has 4 blue beads and 8 red beads. How many beads does Hannah have?
4 + 8 = _12_ beads

Answer:
The number of beads = 12.

Explanation:
In the above-given question,
given that,
Hannah has 4 blue beads and 8 red beads.
4 + 8 = 12.
The number of beads = 12.

Question 4.
Rick had 4 stickers. Then he earned 2 more. How many stickers does he have now?
4 + 2 = _6_ stickers

Answer:
The number of stickers = 6.

Explanation:
In the above-given question,
given that,
Rick had 4 stickers.
Then he earned 2 more.
4 + 2 = 6.
The number of stickers = 6.

Question 5.
What is the sum?
4 + 5 + 4 = _13_

Answer:
The sum is 13.

Explanation:
In the above-given question,
given that,
the numbers are 4, 5, and 4.
4 + 5 + 4 = 13.

Question 6.
Write 281 using hundreds, tens, and ones.
_2_ hundreds _8_ tens _1_ one

Answer:
There are 2 hundred, 8 tens and 1 ones.

Explanation:
In the above-given question,
the number is 281.
there are 2 hundred, 8 tens, and 1 ones.
200 + 80 + 1 = 281.

Lesson 4.2 Use Compensation

Essential Question
How can you make an addend a ten to help solve an addition problem?

Listen and Draw

Draw quick pictures to show the problems.

Math Talk
MATHEMATICAL PRACTICES

Analyze Describe how you found how many stickers Tyrone has.

Model and Draw

Take ones from an addend to make the other addend the next tens number.

Answer:
The number is 73.

Explanation:
In the above-given question,
given that,
25 + 48 = 73.
23 + 50 = 73.
the number is 73.

Share and Show MATH BOARD

Show how to make one addend the next tens number. Complete the new addition sentence

Question 1.
37 + 25 = ?

Answer:
The number is 62.

Explanation:
In the above-given question,
given that,
37 + 25 = 62.
40 + 22 = 62.
the number is 62.

Question 2.
27 + 46 = ?

Answer:
The number is 73.

Explanation:
In the above-given question,
given that,
27 + 46 = 73.
30 + 43 = 73.
the number is 73.

Question 3.
14 + 29 = ?

Answer:
The number is 43.

Explanation:
In the above-given question,
given that,
14 + 29 = 43.
15 + 28 = 43.
the number is 43.

On Your Own

Show how to make one addend the next tens number. Complete the new addition sentence.

Question 4.
18 + 13 = ?

Answer:
The number is 31.

Explanation:
In the above-given question,
given that,
18 + 13 = 31.
20 + 11 = 31.
the number is 31.

Question 5.
24 + 18 = ?

Answer:
The number is 42.

Explanation:
In the above-given question,
given that,
24 + 18 = 42.
25 + 17 = 42.
the number is 42.

Question 6.
GO DEEPER
Lee finds 44 shells. Wayne finds 39 shells. How many shells do they still need if they want 90 shells in all?
__7_ shells

Answer:
The number of shells they want more = 7.

Explanation:
In the above-given question,
given that,
Lee finds 44 shells. Wayne finds 39 shells.
If they want 90 shells.
90 – 44 + 39.
90 – 83 = 7.
The number of shells they want more = 7.

Question 7.
THINK SMARTER
Zach finds 38 sticks. Kelly finds 27 sticks. How many more sticks do the two children still need if they want 70 sticks in all?


__5_ more sticks

Answer:
The number of children still need = 5.

Explanation:
In the above-given question,
given that,
Zach finds 38 sticks. Kelly finds 27 sticks.
If they want 70 sticks.
70 – 38 + 27.
70 – 65 = 5.
The number of children still need = 5.

Problem Solving • Applications

Solve. Write or draw to explain.

Question 8.
MATHEMATICAL PRACTICE
Make Connections The chart shows the leaves that Philip collected. He wants a collection of 52 leaves, using only two colors. Which two colors of leaves should he use?

__27__ and _25___

Answer:
The two colors Philip collected a green and yellow = 52.

Explanation:
In the above-given question,
given that,
He wants a collection of 52 leaves using two colors.
green color and yellow color.
27 + 25 =  52.
The two colors Philip collected a green and yellow = 52.

Question 9.
THINK SMARTER
Ava has 39 sheets of white paper. She has 22 sheets of green paper. Draw a picture and write to explain how to find the number of sheets of paper Ava has.

Ava has _61_ sheets of paper.

Answer:
The number of paper Ava has = 61.

Explanation:
In the above-given question,
given that,
Ava has 39 sheets of white paper.
She has 22 sheets of green paper.
39 + 22 = 61.
The number of paper Ava has = 61.

TAKE HOME ACTIVITY
• Have your child choose one problem on this page and explain how to solve it in another way.

Use Compensation Homework & Practice 4.2

Show how to make one addend the next tens number. Complete the new addition sentence.

Question 1.
15 + 37 = ?

Answer:
The number is 52.

Explanation:
In the above-given question,
given that,
15 + 37 = 52.
12 + 40 = 52.
the number is 52.

Question 2.
22 + 49 = ?

Answer:
The number is 71.

Explanation:
In the above-given question,
given that,
22 + 49 = 71.
21 + 50 = 71.
the number is 71.

Question 3.
38 + 26 = ?

Answer:
The number is 64.

Explanation:
In the above-given question,
given that,
38 + 26 = 64.
35 + 29 = 64.
the number is 64.

Problem Solving

Solve. Write or draw to explain.

Question 4.
The oak tree at the school was 34 feet tall. Then it grew 18 feet taller. How tall is the oak tree now?
_52_ feet tall

Answer:
The length of the oak tree = 52.

Explanation:
In the above-given question,
given that,
The oak tree at the school was 34 feet tall.
Then it grew 18 feet taller.
34 + 18 = 52.
The Length of the oak tree = 52.

Question 5.
WRITE Math Explain why you would make one of the addends a tens number when solving an addition problem.
__________________________
__________________________

Lesson Check

Question 1.
What is the sum?
18 + 25 = _43_

Answer:
The sum is 43.

Explanation:
In the above-given question,
given that,
the numbers are 18 and 25.
18 + 25 = 43.

Question 2.
What is the sum?
27 + 24 = _51_

Answer:
The sum is 51.

Explanation:
In the above-given question,
given that,
the numbers are 27 and 24.
27 + 24 = 51.

Spiral Review

Question 3.
Circle the even number

Answer:
The even number is 14.

Explanation:
In the above-given question,
given that,
the numbers are 27, 14, 11, and 5.
among all 14 is an even number.
the even number = 14.

Question 4.
Andrew sees 4 fish. Kim sees double that number of fish. How many fish does Kim see?
_8_ fish

Answer:
The number of fish Kim see = 8.

Explanation:
In the above-given question,
given that,
Andrew sees 4 fish.
Kim sees double that number of fish.
4 + 4 = 8.
The number of fish Kim see = 8.

Question 5.
Write is a related subtraction fact for 7 + 6 = 13.
_____13__-__6___=____7__________

Answer:
The related subtraction fact is 13 – 6 = 7.

Explanation:
In the above-given question,
given that,
The number is 7 + 6 = 13.
13 – 6 = 7.
the related subtraction fact is 13 – 6 = 7.

Question 6.
What is the sum?
2 + 8 = _10_

Answer:
The sum is 10.

Explanation:
In the above-given question,
given that,
the numbers are 2 and 8.
2 + 8 = 10.

Lesson 4.3 Break Apart Addends as Tens and Ones

Essential Question
How do you break apart addends to add tens and then add ones?

Listen and Draw

Write the number. Then write the number as tens plus ones.

Answer:
The number is 43.

Explanation:
In the above-given question,
given that,
the number is divided into two parts.
they are tens digit and ones digit.
4 is in tens digit and 3 is in 1s digit.
40 + 3 = 43.
The number is 43.

Answer:
The number is 18.

Explanation:
In the above-given question,
given that,
the number is divided into two parts.
they are tens digit and ones digit.
1 is in tens digit and 8 is in 1s digit.
10 + 8 = 18.
The number is 18.

Answer:
The number is 37.

Explanation:
In the above-given question,
given that,
the number is divided into two parts.
they are tens digit and ones digit.
3 is in tens digit and 7 is in 1s digit.
30 + 7 = 37.
The number is 37.

Math Talk
MATHEMATICAL PRACTICES
What is the value of the 6 in the number 63? Explain how you know.

Answer:
The value of the 6 is tens digit.

Explanation:
In the above-given question,
given that,
the number is divided into two parts.
they are tens digit and ones digit.
6 is in tens digit and 3 is in 1s digit.
60 + 3 = 63.
The number is 63.

Model and Draw

Break apart the addends into tens and ones.
Add the tens and add the ones.

Answer:
The number is 75.

Explanation:
In the above-given question,
given that,
the numbers are 27 and 48.
27 = 20 + 7.
48 = 40 + 8.
20 + 40 = 60 .
7 + 8 = 15.
60 + 15 = 60 + 10 + 5.
70 + 5 = 75.
the number is 75.

Share and Show MATH BOARD

Question 1.

Answer:
The number is 89.

Explanation:
In the above-given question,
given that,
the numbers are 35 and 54.
35 = 30 + 5.
54 = 50 + 4.
30 + 50 = 80 .
5 + 4 = 9.
80 + 9 = 80 + 6 + 3.
86 + 3 = 89.
the number is 89.

Question 2.

Answer:
The number is 72.

Explanation:
In the above-given question,
given that,
the numbers are 43 and 29.
43 = 40 + 3.
29 = 20 + 9.
40 + 20 = 60 .
3 + 9 = 12.
60 + 12 = 60 + 10 + 2.
70 + 2 = 72.
the number is 72.

Question 3.

Answer:
The number is 94.

Explanation:
In the above-given question,
given that,
the numbers are 56 and 38.
56 = 50 + 6.
38 = 30 + 8.
50 + 30 = 80 .
6 + 8 = 14.
80 + 14 = 80 + 10 + 4.
90 + 4 = 94.
the number is 94.

On Your Own

Question 4.

Answer:
The number is 37.

Explanation:
In the above-given question,
given that,
the numbers are 14 and 23.
14 = 10 + 4.
23 = 20 + 3.
10 + 20 = 30.
4 + 3 = 7.
30 + 7 = 30 + 5 + 2.
35 + 2 = 37.
the number is 37.

Question 5.

Answer:
The number is 82.

Explanation:
In the above-given question,
given that,
the numbers are 37 and 45.
37 = 30 + 7.
45 = 40 + 5.
30 + 40 = 70 .
7 + 5 = 12.
70 + 12 = 70 + 10 + 2.
80 + 2 = 82.
the number is 82.

Question 6.
GO DEEPER
Chris read 15 pages of his book. Tony read 4 more pages than Chris. How many pages did Chris and Tony read?

_34_ pages

Answer:
The number of pages Chris and Tony read = 34.

Explanation:
In the above-given question,
given that,
Chris read 15 pages of his book.
Tony read 4 more pages than Chris.
15 + 19 = 34.
The number of pages Chris and Tony read = 34.

Question 7.
THINK SMARTER Julie read 18 pages of her book in the morning. She read the same number of pages in the afternoon. How many pages did she read?

_36_ pages

Answer:
The number of pages Julie read = 36.

Explanation:
In the above-given question,
given that,
Julie read 18 pages of her book in the morning.
She read the same number of pages in the afternoon.
18 + 18 = 36.
The number of pages Julie read = 36.

Problem Solving • Applications

Write or draw to explain.

Question 8.
MATHEMATICAL PRACTICE
Make Sense of Problems Len has 35 baseball cards. The rest of his cards are basketball cards. He has 58 cards in all. How many basketball cards does he have?

_23_ basketball cards

Answer:
The number of basketball cards have = 23.

Explanation:
In the above-given question,
given that,
Len has 35 baseball cards.
The rest of his cards are basketball cards.
58 – 35 = 23.
The number of basketball cards = 23.

Question 9.
MATHEMATICAL PRACTICE
Evaluate Tomás has 17 pencils. He buys 26 more pencils. How many pencils does Tomás have now?

_43_ pencils

Answer:
The number of pencils does Tomas have now = 43.

Explanation:
In the above-given question,
given that,
Tomas has 17 pencils.
He buys 26 more pencils.
26 + 17 = 43.
The number of pencils does Tomas have now = 43.

Question 10.
THINK SMARTER
Sasha used 38 red stickers and 22 blue stickers. Show how you can break apart the addends to find how many stickers Sasha used.

Answer:
The number of stickers Sasha used = 60.

Explanation:
In the above-given question,
given that,
the numbers are 38 and 22.
38 = 30 + 8.
22 = 20 + 2.
30 + 20 = 50 .
8 + 2 = 10.
50 + 10 = 60
the number is 60.

TAKE HOME ACTIVITY
• Write 32 + 48 on a sheet of paper. Have your child break apart the numbers and find the sum.

Answer:
The sum is 80.

Explanation:
In the above-given question,
given that,
the numbers are 32 and 48.
32 + 48 = 80.

Break Apart Addends as Tens and Ones Homework & Practice 4.3

Break apart the addends to find the sum.

Question 1.

Answer:
The number is 39.

Explanation:
In the above-given question,
given that,
the numbers are 18 and 21.
18 = 10 + 8.
21 = 20 + 1.
10 + 20 = 30.
8 + 1 = 9.
30 + 9 = 30 + 6 + 3.
36 + 3 = 39.
the number is 39.

Question 2.

Answer:
The number is 82.

Explanation:
In the above-given question,
given that,
the numbers are 33 and 49.
33 = 30 + 3.
49 = 40 + 9.
30 + 40 = 70 .
3 + 9 = 12.
70 + 12 = 70 + 10 + 2.
80 + 2 = 82.
the number is 82.

Problem Solving

Choose a way to solve. Write or draw to explain.

Question 3.
Christopher has 28 baseball cards. Justin has 18 baseball cards. How many baseball cards do they have together?
_46_ baseball cards

Answer:
The number of baseball cards have = 46.

Explanation:
In the above-given question,
given that,
Christopher has 28 baseball cards.
Justin has 18 baseball cards.
28 + 18 = 46.
The number of baseball cards = 46.

Question 4.
WRITE Math
Explain how to break apart the addends to find the sum of 25 + 16.
_______25__+___16________
_________41_________________

Answer:
The number is 41.

Explanation:
In the above-given question,
given that,
the numbers are 25 and 16.
25 = 20 + 5.
16 = 10 + 6.
20 + 10 = 30 .
5 + 6 = 11.
30 + 11 = 30 + 10 + 1.
40 + 1 = 41.
the number is 41.

Lesson Check

Question 1.
What is the sum?

Answer:
The sum is 39.

Explanation:
In the above-given question,
given that,
the numbers are 27 and 12.
27 + 12 = 39.

Question 2.
What is the sum?

Answer:
The sum is 52.

Explanation:
In the above-given question,
given that,
the numbers are 17 and 35.
52 + 17 = 35.

Spiral Review

Question 3.
What is the value of the underlined digit?

Answer:
The value of the underlined digit is 5.

Explanation:
In the above-given question,
given that,
the number is divided into two parts.
they are tens digit and ones digit.
2 is in tens digit and 5 is in 1s digit.
20 + 5 = 25.
The number is 25.

Question 4.
What number has the same value as 12 tens?

Answer:
The number is 120.

Explanation:
In the above-given question,
given that,
100 + 20 = 120.
20 + 100 = 120.
the number is 120.

Question 5.
Ally has 7 connecting cubes. Greg has 4 connecting cubes. How many connecting cubes do they have?
_11_ cubes

Answer:
The number of connecting cubes = 11.

Explanation:
In the above-given question,
given that,
Ally has 7 connecting cubes.
Greg has 4 connecting cubes.
7 + 4 = 11.
The number of connecting cubes = 11.

Question 6.
Juan painted a picture of a tree. First, he painted 15 leaves. Then he painted 23 more leaves. How many leaves did he paint?
_38_ leaves

Answer:
The number of leaves he paints = 38.

Explanation:
In the above-given question,
given that,
Juan painted a picture of a  tree.
First, he painted 15 leaves.
Then he painted 23 more leaves.
15 + 23 = 38.
The number of leaves he paints = 38.

Lesson 4.4 Model Regrouping for Addition

Essential Question
When do you regroup in addition?

Listen and Draw

Use to model the problem.
Draw quick pictures to show what you did.

Answer:
The number is 43.

Explanation:
In the above-given question,
given that,
the number is divided into two parts.
they are tens digit and ones digit.
4 is in tens digit and 3 is in 1s digit.
40 + 3 = 43.
The number is 43.

Math Talk
MATHEMATICAL PRACTICES

Use Tools
Describe how you made a ten in your model.

Model and Draw

Add 37 and 25.

Answer:
The number is 62.

Explanation:
In the above-given question,
given that,
the numbers are 37 and 25.
37 = 30 + 7.
25 = 20 + 5.
30 + 20 = 50 .
7 + 5 = 12.
50 + 12 = 50 + 10 + 2.
60 + 2 = 62.
the number is 62.

Share and Show

Draw to show the regrouping. Write how many tens and ones are in the sum. Write the sum.

Question 1.
Add 47 and 15

_6_ tens _2_ ones _62_

Answer:
The sum is 62.

Explanation:
In the above-given question,
given that,
the numbers are 47 and 15.
47 + 15 = 62.

Question 2.
Add 48 and 8.

_5_ tens _6_ ones _56_

Answer:
The sum is 56.

Explanation:
In the above-given question,
given that,
the numbers are 48 and 8.
48 + 8 = 56.

Question 3.
Add 26 and 38.

_6_ tens _4_ ones _64_

Answer:
The sum is 64.

Explanation:
In the above-given question,
given that,
the numbers are 26 and 38.
26 + 38 = 64.

On Your Own

Draw to show if you regroup. Write how many tens and ones are in the sum. Write the sum.

Question 4.
Add 79 and 6.

_8_ tens _5_ ones _85_

Answer:
The sum is 85.

Explanation:
In the above-given question,
given that,
the numbers are 79 and 6.
79 + 6 = 85.

Question 5.
Add 18 and 64

_8_ tens _2_ ones _82_

Answer:
The sum is 82.

Explanation:
In the above-given question,
given that,
the numbers are 18 and 64.
18 + 64 = 82.

Question 6.
Add 23 and 39.

_6_ tens _2_ ones _62_

Answer:
The sum is 62.

Explanation:
In the above-given question,
given that,
the numbers are 23 and 39.
23 + 39 = 62.

Question 7.
Add 54 and 25.

_8_ tens _9_ ones _89_

Answer:
The sum is 89.

Explanation:
In the above-given question,
given that,
the numbers are 54 and 25.
54 + 25 = 89.

Question 8.
Add 33 and 7.

_4_ tens _0_ ones _40_

Answer:
The sum is 40.

Explanation:
In the above-given question,
given that,
the numbers are 33 and 7.
33 + 7 = 40.

Question 9.
Add 27 and 68.

_9_ tens _5_ ones _95_

Answer:
The sum is 95.

Explanation:
In the above-given question,
given that,
the numbers are 27 and 68.
27 + 68 = 95.

Question 10.
THINK SMARTER
Kara has 25 toy animals and 12 books. Jorge has 8 more toy animals than Kara has. How many toy animals does Jorge have?


_33_ toy animals

Answer:
The number of toy animals Jorge have = 33.

Explanation:
In the above-given question,
given that,
Kara has 25 toy animals and 12 books.
Jorge has 8 more toy animals than Kara has.
25 + 8 = 33.
The number of toy animals Jorge have = 33.

Problem Solving • Applications

Write or draw to explain.

Question 11.
MATHEMATICAL PRACTICE
Make Sense of Problems Mrs. Sanders has two fish tanks. There are 14 fish in the small tank. There are 27 fish in the large tank. How many fish are in the two tanks?

_41_ fish

Answer:
The number of fish in the two tanks = 41.

Explanation:
In the above-given question,
given that,
Mrs. Sanders has two fish tanks.
There are 14 fish in the small tank.
There are 27 fish in the large tank.
14 + 27 = 41.
The number of fish in the tank = 41.

Question 12.
THINK SMARTER
Charlie climbed 69 steps. Then he climbed 18 more steps. Show two different ways to find how many steps Charlie climbed.

Charlie climbed _87_ steps.

Answer:
The number steps Charlie climbed = 87.

Explanation:
In the above-given question,
given that,
Charlie climbed 69 steps.
Then he climbed 18 more steps.
69 + 18 = 87.
The number of steps Charlie climbed = 87.

TAKE HOME ACTIVITY
• Ask your child to write a word problem with 2-digit numbers about adding two groups of stamps.

Model Regrouping for Addition Homework & Practice 4.4

Draw to show the regrouping. Write how many tens and ones in the sum. Write the sum.

Question 1.
Add 63 and 9.

_7_ tens _2_ ones _72_

Answer:
The sum is 72.

Explanation:
In the above-given question,
given that,
the numbers are 63 and 9.
63 + 9 = 72.

Question 2.
Add 25 and 58.

_8_ tens _3_ ones _83_

Answer:
The sum is 83.

Explanation:
In the above-given question,
given that,
the numbers are 25 and 58.
25 + 58 = 83.

Question 3.
Add 58 and 18

_7_ tens _6_ ones _76_

Answer:
The sum is 76.

Explanation:
In the above-given question,
given that,
the numbers are 58 and 18.
58 + 18 = 76.

Question 4.
Add 64 and 26.

_9_ tens _0_ ones _90_

Answer:
The sum is 90.

Explanation:
In the above-given question,
given that,
the numbers are 64 and 26.
64 + 26 = 90.

Question 5.
Add 17 and 77.

_9_ tens _4_ ones _94_

Answer:
The sum is 94.

Explanation:
In the above-given question,
given that,
the numbers are 17 and 77.
17 + 77 = 94.

Question 6.
Add 16 and 39.

_5_ tens _5_ ones _55

Answer:
The sum is 55.

Explanation:
In the above-given question,
given that,
the numbers are 16 and 39.
16 + 39 = 55.

Problem Solving

Choose a way to solve. Write or draw to explain.

Question 7.
Cathy has 43 leaves in her collection. Jane has 38 leaves. How many leaves do the two children have?
_81_ leaves

Answer:
The number of leaves two children have = 81.

Explanation:
In the above-given question,
given that,
Cathy has 43 leaves in her collection.
Jane has 38 leaves .
43 + 38 = 87.
The number of leaves two children have = 81.

Question 8.
WRITE Math
Suppose you are adding 43 and 28. Will you regroup? Explain.
____________71______________

Answer:
The sum is 71.

Explanation:
In the above-given question,
given that,
the numbers are 43 and 28.
43 + 28 = 71.

Lesson Check

Question 1.
Add 27 and 48. What is the sum?

__75__

Answer:
The sum is 75.

Explanation:
In the above-given question,
given that,
the numbers are 27 and 48.
27 + 48 = 75.

Spiral Review

Question 2.
What is the sum?
7 + 7 = _14_

Answer:
The sum is 14.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 7.
7 + 7 = 14.

Question 3.
Circle the odd number

Answer:
The odd number is 21.

Explanation:
In the above-given question,
given that,
the numbers are 21, 6, 12, and 22.
among all 21 is an odd number.
the odd number = 21.

Question 4.
What is the sum?
39 + 46 = _85_

Answer:
The sum is 85.

Explanation:
In the above-given question,
given that,
the numbers are 39 and 46.
39 + 46 = 85.

Question 5.
What is the sum?
5 + 3 + 4 = _12_

Answer:
The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 5, 3, and 4.
5 + 3 + 4 = 12.

Lesson 4.5 Model and Record 2-Digit Addition

Essential Question
How do you record 2-digit addition?

Listen and Draw

Use to model the problem. Draw quick pictures to show what you did.

Answer:
The number is 43.

Explanation:
In the above-given question,
given that,
the number is divided into two parts.
they are tens digit and ones digit.
4 is in tens digit and 3 is in 1s digit.
40 + 3 = 43.
The number is 43.

Math Talk
MATHEMATICAL PRACTICES

Make Connections Did you trade blocks in your model? Explain why or why not.

Model and Draw

Trace over the quick pictures in the steps.

Answer:
The sum is 63.

Explanation:
In the above-given question,
given that,
the numbers are 37 and 26.
37 + 26 = 63.

Share and Show

Draw quick pictures to help you solve. Write the sum.

Question 1.

Answer:
The sum is 58.

Explanation:
In the above-given question,
given that,
the numbers are 26 and 32.
32 + 26 = 58.

Question 2.

Answer:
The sum is 82.

Explanation:
In the above-given question,
given that,
the numbers are 58 and 24.
58 + 24 = 82.

On Your Own

Draw quick pictures to help you solve. Write the sum.

Question 3.

Answer:
The sum is 43.

Explanation:
In the above-given question,
given that,
the numbers are 34 and 9.
34 + 9 = 43.

Question 4.

Answer:
The sum is 51.

Explanation:
In the above-given question,
given that,
the numbers are 27 and 24.
27 + 24 = 51.

Question 5.

Answer:
The sum is 58.

Explanation:
In the above-given question,
given that,
the numbers are 35 and 23.
35 + 23 = 58.

Question 6.

Answer:
The sum is 65.

Explanation:
In the above-given question,
given that,
the numbers are 59 and 6.
59 + 6 = 65.

Question 7.
THINK SMARTER
Tim has 36 stickers.
Margo has 44 stickers. How many more stickers would they need to have 100 stickers altogether?

_20_ more stickers

Answer:
The number of stickers they need to have 100 = 20.

Explanation:
In the above-given question,
given that,
Margo has 44 stickers.
Tim has 36 stickers.
44 + 36 = 80.
100 – 80 = 20.
The number of stickers they need to have 100 = 20.

Question 8.
GO DEEPER
A baker wants to sell 100 muffins. So far the baker has sold 48 corn muffins and 42 bran muffins. How many more muffins does the baker need to sell?
_10_ more muffins

Answer:
The number of muffins baker need to sell = 10.

Explanation:
In the above-given question,
given that,
A baker wants to sell 100 muffins.
So far the baker has sold 48 corn muffins and 42 bran muffins.
100 – 90 = 10.
The number of muffins baker need to sell = 10.

Problem Solving • Applications

Write or draw to explain.

Question 9.
MATHEMATICAL PRACTICE
Make Sense of Problems Chris and Bianca got 80 points in all in the spelling contest. Each child got more than 20 points. How many points could each child have gotten?
Chris: _40_ points
Bianca: _40_ points

Answer:
The number of points each child have = 40.

Explanation:
In the above-given question,
given that,
Chris and Bianca got 80 points in all the spelling contest.
40 + 40 = 80.
The number of points each child have = 40.

Question 10.
THINK SMARTER
Don built a tower with 24 blocks. He built another tower with 18 blocks. How many blocks did Don use for both towers? Draw quick pictures to solve. Write the sum.

_24_ blocks
Did you regroup to find the answer? Explain.
_____20___+___4________________
_______10___+___10____+__4________
_______24____________________

Answer:
The sum is 42.

Explanation:
In the above-given question,
given that,
the numbers are 24 and 18.
24 + 18 = 42.

TAKE HOME ACTIVITY
• Write two 2-digit numbers and ask your child if he or she would regroup to find the sum.

Model and Record 2-Digit Addition Homework & Practice 4.5

Draw quick pictures to help you solve. Write the sum.

Question 1.

Answer:
The sum is 55.

Explanation:
In the above-given question,
given that,
the numbers are 38 and 17.
38 + 17 = 55.

Question 2.

Answer:
The sum is 84.

Explanation:
In the above-given question,
given that,
the numbers are 58 and 26.
58 + 26 = 84.

Question 3.

Answer:
The sum is 79.

Explanation:
In the above-given question,
given that,
the numbers are 42 and 37.
42 + 37 = 79.

Question 4.

Answer:
The sum is 91.

Explanation:
In the above-given question,
given that,
the numbers are 53 and 38.
53 + 38 = 91.

Problem Solving

Choose a way to solve. Write or draw to explain.

Question 5.
There were 37 children at the park on Saturday and 25 children at the park on Sunday. How many children were at the park on those two days?
_62_ children

Answer:
The number of children were at the park = 62.

Explanation:
In the above-given question,
given that,
There were 37 children at the park on saturday and 25 children at the park on sunday.
25 + 37 = 62.
The number of children were at the park = 62.

Question 6.
WRITE Math
Explain why you should record a 1 in the Tens column when you regroup in an addition problem.
__________________________
__________________________

Lesson Check

Question 1.
What is the sum?

Answer:
The sum is 62.

Explanation:
In the above-given question,
given that,
the numbers are 34 and 28.
34 + 28 = 62.

Question 2.
What is the sum?

Answer:
The sum is 70.

Explanation:
In the above-given question,
given that,
the numbers are 43 and 27.
43 + 27 = 70.

Spiral Review

Question 3.
Adam collected 14 pennies in the first week and 9 pennies in the second week. How many more pennies did he collect in the first week than in the second week?
14 – 9 = _5_ pennies

Answer:
The number of pennies he collected more in first week = 5.

Explanation:
In the above-given question,
given that,
Adam collected 14 pennies in the first week and 9 pennies in the second week.
14 – 9 = 5.
The number of pennies he collected more in first week = 5.

Question 4.
What is the sum?
3 + 7 + 9 = _19_

Answer:
The sum is 19.

Explanation:
In the above-given question,
given that,
the numbers are 3, 7, and 9.
3 + 7 + 9 = 19.

Question 5.
Janet has 5 marbles. She finds double that number of marbles in her art box. How many marbles does Janet have now?
5 + _10_ = _15_ marbles

Answer:
The number of marbles does janet have = 15.

Explanation:
In the above-given question,
given that,
Janet has 5 marbles.
She finds double that number of marbles in her art box.
5 + 10 = 15.
The number of marbles does janet have = 15.

Question 6.
What is the difference?
13 – 5 = _8_

Answer:
The difference is 8.

Explanation:
In the above-given question,
given that,
the numbers are 13 and 5.
13 – 5 = 8.

Lesson 4.6 2-Digit Addition

Essential Question
How do you record the steps when adding 2-digit numbers?

Listen and Draw

Draw quick pictures to model each problem.

Answer:
The sum is 82.

Explanation:
In the above-given question,
given that,
the numbers are 58 and 24.
58 + 24 = 82.

Answer:
The sum is 19.

Explanation:
In the above-given question,
given that,
the numbers are 3, 7, and 9.
3 + 7 + 9 = 19.

Math Talk
MATHEMATICAL PRACTICES

Analyze Relationships Explain when you need to regroup ones.

Model and Draw

Add 59 and 24.

Answer:
The sum is 83.

Explanation:
In the above-given question,
given that,
the numbers are 59 and 24.
59 + 24 = 83.

Share and Show MATH BOARD

Regroup if you need to. Write the sum.

Question 1.

Answer:
The sum is 71.

Explanation:
In the above-given question,
given that,
the numbers are 42 and 29.
42 + 29 = 71.

Question 2.

Answer:
The sum is 45.

Explanation:
In the above-given question,
given that,
the numbers are 31 and 14.
31 + 14 = 45.

Question 3.

Answer:
The sum is 72.

Explanation:
In the above-given question,
given that,
the numbers are 27 and 45.
27 + 45 = 72.

On Your Own

Regroup if you need to. Write the sum.

Question 4.

Answer:
The sum is 55.

Explanation:
In the above-given question,
given that,
the numbers are 48 and 7.
48 + 7 = 55.

Question 5.

Answer:
The sum is 77.

Explanation:
In the above-given question,
given that,
the numbers are 35 and 42.
35 + 42 = 77.

Question 6.

Answer:
The sum is 93.

Explanation:
In the above-given question,
given that,
the numbers are 73 and 20.
73 + 20 = 93.

Question 7.

Answer:
The sum is 60.

Explanation:
In the above-given question,
given that,
the numbers are 33 and 27.
33 + 27 = 60.

Question 8.

Answer:
The sum is 57.

Explanation:
In the above-given question,
given that,
the numbers are 52 and 5.
52 + 5 = 57.

Question 9.

Answer:
The sum is 94.

Explanation:
In the above-given question,
given that,
the numbers are 36 and 58.
36 + 58 = 94.

Question 10.

Answer:
The sum is 89.

Explanation:
In the above-given question,
given that,
the numbers are 64 and 25.
64 + 25 = 89.

Question 11.

Answer:
The sum is 73.

Explanation:
In the above-given question,
given that,
the numbers are 35 and 38.
35 + 38 = 73.

Question 12.

Answer:
The sum is 90.

Explanation:
In the above-given question,
given that,
the numbers are 38 and 52.
38 + 52 = 90.

Solve. Write or draw to explain.

Question 13.
THINK SMARTER Jin has 31 books about cats and 19 books about dogs. He gives 5 books to his sister. How many books does Jin have now?
_45_ books

Answer:
The number of books Jin have now = 45.

Explanation:
In the above-given question,
given that,
Jin has 31 books about cats and 19 books about dogs.
He gives 5 books to his sister.
31 + 19 – 5 = 45
The number of books Jin have = 45.

Problem Solving • Applications

Question 14.
GO DEEPER
Abby used a different way to add. Find the sum using Abby’s way.

Answer:
The sum is 86.

Explanation:
In the above-given question,
given that,
the numbers are 57 and 29.
57 + 29 = 86.

Question 15.
MATHEMATICAL PRACTICE
Verify the Reasoning of Others
Describe Abby’s way of adding 2-digit numbers.
__________________________
__________________________
__________________________

Question 16.
THINK SMARTER
Melissa saw 14 sea lions and 29 seals. How many animals did she see? Write a number sentence to find the total number of animals that she saw.
_________43_________________
Explain how the number sentence shows the problem.
______14__+___29_______________
__________43________________

Answer:
The number of animals that she saw = 43.

Explanation:
In the above-given question,
given that,
Melissa saw 14 sea lions and 29 seals.
14 + 29 = 15.
The number of marbles does janet have = 15.

TAKE HOME ACTIVITY
• Ask your child to show you two ways to add 45 and 38.

2-Digit Addition Homework & practice 4.6

Regroup if you need to. Write the sum.

Question 1.

Answer:
The sum is 72.

Explanation:
In the above-given question,
given that,
the numbers are 47 and 25.
47 + 25 = 72.

Question 2.

Answer:
The sum is 51.

Explanation:
In the above-given question,
given that,
the numbers are 33 and 18.
33 + 18 = 51.

Question 3.

Answer:
The sum is 92.

Explanation:
In the above-given question,
given that,
the numbers are 28 and 64.
28 + 64 = 92.

Question 4.

Answer:
The sum is 78.

Explanation:
In the above-given question,
given that,
the numbers are 13 and 65.
13 + 65 = 78.

Question 5.

Answer:
The sum is 43.

Explanation:
In the above-given question,
given that,
the numbers are 17 and 26.
17 + 26 = 43.

Question 6.

Answer:
The sum is 89.

Explanation:
In the above-given question,
given that,
the numbers are 36 and 53.
36 + 53 = 89.

Question 7.

Answer:
The sum is 83.

Explanation:
In the above-given question,
given that,
the numbers are 58 and 25.
58 + 25 = 83.

Question 8.

Answer:
The sum is 86.

Explanation:
In the above-given question,
given that,
the numbers are 37 and 49.
37 + 49 = 86.

Problem Solving

Solve. Write or draw to explain.

Question 9.
Angela drew 16 flowers on her paper in the morning. She drew 25 more flowers in the afternoon. How many flowers did she draw?
_41_ flowers

Answer:
The number of flowers did she draw = 41.

Explanation:
In the above-given question,
given that,
Angela drew 16 flowers on her paper in the morning.
She drew 25 more flowers in the afternoon.
16 + 25 = 41.
the number  of flowers did she draw = 41.
Question 10.
WRITE Math
How is Exercise 5 different from Exercise 6? Explain.
__________________________________
__________________________________

Lesson Check

Question 1.
What is the sum?

Answer:
The sum is 58.

Explanation:
In the above-given question,
given that,
the numbers are 21 and 37.
21 + 37 = 58.

Question 2.
What is the sum?

Answer:
The sum is 90.

Explanation:
In the above-given question,
given that,
the numbers are 38 and 52.
38 + 52 = 90.

Spiral Review

Question 3.
What is the next number in the counting pattern?
103, 203, 303, 403, _503_

Answer:
The number is 503.

Explanation:
In the above-given question,
given that,
the numbers are 103, 203, 303, 403.
the numbers are adding by 100.
the number is 503.

Question 4.
Rita counted 13 bubbles. Ben counted 5 bubbles. How many fewer bubbles did Ben count than Rita?
13 – 5 = _8_ bubbles

Answer:
The number of fewer bubbles count than Rita = 8.

Explanation:
In the above-given question,
given that,
Rita counted 13 bubbles.
Ben counted 5 bubbles.
13 – 5 = 8.
the number  of fewer bubbles count than Rita = 8.

Question 5.
Which number is 100 more than 265?
_365__

Answer:
The number is 365.

Explanation:
In the above-given question,
given that,
the number is 100 more than 265.
265 + 100 = 365.
the number is 365.

Question 6.
Write 42 as a sum of tens and ones.
_40_ + _2_

Answer:
The number is 42.

Explanation:
In the above-given question,
given that,
4 tens and 2 ones.
40 + 2 = 42.

Lesson 4.7 Practice 2-Digit Addition

Essential Question
How do you record the steps when adding 2-digit numbers?

Listen and Draw

Choose one way to solve the problem. Draw or write to show what you did.

Answer:
The sum is 82.

Explanation:
In the above-given question,
given that,
the numbers are 58 and 24.
58 + 24 = 82.

Math Talk

MATHEMATICAL PRACTICES
Explain why you chose your way of solving the problem.

Share and Show MATH BOARD

Write the sum.

Question 1.

Answer:
The sum is 132.

Explanation:
In the above-given question,
given that,
the numbers are 38 and 94.
38 + 94 = 132.

Question 2.

Answer:
The sum is 97.

Explanation:
In the above-given question,
given that,
the numbers are 45 and 52.
45 + 52 = 97.

Question 3.

Answer:
The sum is 159.

Explanation:
In the above-given question,
given that,
the numbers are 83 and 76.
83 + 76 = 159.

Question 4.

Answer:
The sum is 91.

Explanation:
In the above-given question,
given that,
the numbers are 56 and 35.
56 + 35 = 91.

Question 5.

Answer:
The sum is 114.

Explanation:
In the above-given question,
given that,
the numbers are 63 and 51.
63 + 51 = 114.

Question 6.

Answer:
The sum is 123.

Explanation:
In the above-given question,
given that,
the numbers are 74 and 49.
74 + 49 = 123.

On Your Own

Write the sum.

Question 7.

Answer:
The sum is 89.

Explanation:
In the above-given question,
given that,
the numbers are 52 and 37
52 + 37 = 89.

Question 8.

Answer:
The sum is 109.

Explanation:
In the above-given question,
given that,
the numbers are 88 and 21.
88 + 21 = 109.

Question 9.

Answer:
The sum is 141.

Explanation:
In the above-given question,
given that,
the numbers are 74 and 67.
74 + 67 = 141.

Question 10.

Answer:
The sum is 147.

Explanation:
In the above-given question,
given that,
the numbers are 93 and 54.
93 + 54 = 147.

Question 11.

Answer:
The sum is 170.

Explanation:
In the above-given question,
given that,
the numbers are 92 and 78.
92 + 78 = 170.

Question 12.

Answer:
The sum is 72.

Explanation:
In the above-given question,
given that,
the numbers are 56 and 16.
56 + 16 = 72.

Question 13.

Answer:
The sum is 76.

Explanation:
In the above-given question,
given that,
the numbers are 31 and 45.
31+ 45 = 76.

Question 14.

Answer:
The sum is 115.

Explanation:
In the above-given question,
given that,
the numbers are 43 and 72.
43 + 72 = 115.

Question 15.
THINK SMARTER
Without finding the sums, circle the pairs of addends for which the sum will be greater than 100. Explain how you decided which pairs to circle.

__________________________
__________________________
__________________________
__________________________

Answer:
The sum is 109.

Explanation:
In the above-given question,
given that,
the numbers are 47 and 62.
47 + 62 = 109.

TAKE HOME ACTIVITY
• Tell your child two 2-digit numbers. Have him or her write the numbers and find the sum.

Practice 2-Digit Addition Homework & Practice 4.7

Write the sum.

Question 1.

Answer:
The sum is 75.

Explanation:
In the above-given question,
given that,
the numbers are 58 and 17.
58 + 17 = 75.

Question 2.

Answer:
The sum is 130.

Explanation:
In the above-given question,
given that,
the numbers are 44 and 86.
44 + 86 = 130.

Question 3.

Answer:
The sum is 49.

Explanation:
In the above-given question,
given that,
the numbers are 36 and 13.
36 + 13 = 49.

Question 4.

Answer:
The sum is 121.

Explanation:
In the above-given question,
given that,
the numbers are 49 and 72.
49 + 72 = 121.

Question 5.

Answer:
The sum is 145.

Explanation:
In the above-given question,
given that,
the numbers are 58 and 87.
58 + 87 = 145.

Question 6.

Answer:
The sum is 91.

Explanation:
In the above-given question,
given that,
the numbers are 32 and 59.
32 + 59 = 91.

Problem Solving

Solve. Write or draw to explain.

Question 7.
There are 45 books on the shelf. There are 37 books on the table. How many books are on the shelf and the table?
_82_ books

Answer:
The number of books on the shelf and the table = 82.

Explanation:
In the above-given question,
given that,
There are 45 books on the shelf.
There are 37 books on the table.
45 + 37 = 82.
the number of books on the shelf and the table  = 82.

Question 8.
WRITE Math
Describe how you regroup when you find the sum of 64 + 43.
________64__+__43______________
_________103_________________

Answer:
The sum is 103.

Explanation:
In the above-given question,
given that,
the numbers are 64 and 43.
64 + 43 = 103.

Lesson Check

Question 1.
What is the sum?

Answer:
The sum is 91

Explanation:
In the above-given question,
given that,
the numbers are 56 and 35.
56 + 35 = 91.

Question 2.
What is the sum?

Answer:
The sum is 89.

Explanation:
In the above-given question,
given that,
the numbers are 74 and 15.
74 + 15 = 89.

Spiral Review

Question 3.
What is the value of the underlined digit?

Answer:
The value of the underlined digit is 500.

Explanation:
In the above-given question,
given that,
the number is divided into 3 parts.
they are hundreds, tens digit and ones digit.
5 is in hundreds digit, 2 is in tens digit and 5 is in 1s digit.
500 + 20 + 6 = 526.
The number is 526.

Question 4.
Mr. Stevens wants to put 17 books on the shelf. He put 8 books on the shelf. How many more books does he need to put on the shelf?
17 − 8 = _9_ books

Answer:
The number of books he needs to put on the shelf = 9.

Explanation:
In the above-given question,
given that,
Mr. Stevens wants to put 17 books on the shelf.
He put 8 books on the shelf.
17 – 8 = 9.
the number of books he needs to put on the shelf = 9.

Question 5.
What is the difference?
11 – 6 = _5_

Answer:
The difference is 5.

Explanation:
In the above-given question,
given that,
the numbers are 11 and 6.
11 – 6 = 5.

Question 6.
Write 83 as a sum of tens and ones
_80_ + _3_

Answer:
The number 8 is in the tens place and 3 is in ones place.
80 + 3 = 83.

Explanation:
In the above-given question,
given that,
the number is 83.
80 + 3 = 83.
2-Digit Addition Mid-Chapter Checkpoint

Concepts and Skills

Break apart ones to make a ten. Then add and write the sum.

Question 1.
37 + 8 = _45__

Answer:
The number is 45.

Explanation:
In the above-given question,
given that,
the numbers are 37 and 8.
37 = 30 + 7.
8 = 5 + 3.
30 + 7 = 37.
5 + 3 = 8.
37 + 8 = 37 + 5 + 3.
42 + 3 = 45.
the number is 45.

Question 2.
55 + 7 = _62__

Answer:
The number is 62.

Explanation:
In the above-given question,
given that,
the numbers are 55 and 7.
55 = 50 + 5.
7 = 5 + 2.
50 + 5 = 55 .
5 + 2 = 7.
55 + 7 = 55 + 5 + 2.
60 + 2 = 62.
the number is 62.

Break apart the addends to find the sum.

Question 3.

Answer:
The number is 63.

Explanation:
In the above-given question,
given that,
the numbers are 27 and 36.
27 = 20 + 7.
36 = 30 + 6.
30 + 20 = 50 .
7 + 6 = 13.
50 + 13 = 50 + 10 + 3.
60 + 3 = 63.
the number is 63.

Write the sum.

Question 4.

Answer:
The sum is 85.

Explanation:
In the above-given question,
given that,
the numbers are 28 and 57.
28 + 57 = 85.

Question 5.

Answer:
The sum is 98.

Explanation:
In the above-given question,
given that,
the numbers are 67 and 31.
67 + 31 = 98.

Question 6.

Answer:
The sum is 90.

Explanation:
In the above-given question,
given that,
the numbers are 71 and 19.
71 + 19 = 90.

Question 7.
THINK SMARTER
Julia collected 25 cans to recycle. Dan collected 14 cans. How many cans did they collect?
_39_ cans

Answer:
The number of cans did they collect = 39.

Explanation:
In the above-given question,
given that,
Julia collected 25 cans to recycle.
Dan collected 14 cans.
25 + 14 = 39.
the number of cans did they collect = 39.

Lesson 4.8 Rewrite 2-Digit Addition

Essential Question
What are two different ways to write addition problems?

Listen and Draw

Write the numbers for each addition problem.

Answer:
The sum is 85.

Explanation:
In the above-given question,
given that,
the numbers are 28 and 57.
28 + 57 = 85.

Answer:
The sum is 98.

Explanation:
In the above-given question,
given that,
the numbers are 67 and 31.
67 + 31 = 98.

Answer:
The sum is 90.

Explanation:
In the above-given question,
given that,
the numbers are 71 and 19.
71 + 19 = 90.

Answer:
The sum is 89.

Explanation:
In the above-given question,
given that,
the numbers are 74 and 15.
74 + 15 = 89.

Math Talk
MATHEMATICAL PRACTICES
Look for Structure Explain why it is important to line up the digits of these addends in columns.

Model and Draw

Add. 28 + 45 = ?
Step 1 For 28, write the tens digit in the tens column. Write the ones digit in the ones column.
Repeat for 45

Step 2 Add the ones. Regroup if you need to. Add the tens.

Share and Show

Rewrite the addition problem. Then add.

Question 1.

Answer:
The sum is 33.

Explanation:
In the above-given question,
given that,
the numbers are 25 and 8.
25 + 8 = 33.

Question 2.

Answer:
The sum is 47.

Explanation:
In the above-given question,
given that,
the numbers are 37 and 10.
37 + 10 = 47.

Question 3.

Answer:
The sum is 70.

Explanation:
In the above-given question,
given that,
the numbers are 25 and 45.
25 + 45 = 70.

Question 4.

Answer:
The sum is 67.

Explanation:
In the above-given question,
given that,
the numbers are 38 and 29.
38 + 29 = 67.

Question 5.

Answer:
The sum is 65.

Explanation:
In the above-given question,
given that,
the numbers are 20 and 45.
20 + 45 = 65.

Question 6.

Answer:
The sum is 72.

Explanation:
In the above-given question,
given that,
the numbers are 63 and 9.
63 + 9 = 72.

Question 7.

Answer:
The sum is 51.

Explanation:
In the above-given question,
given that,
the numbers are 36 and 15.
36 + 15 = 51.

Question 8.

Answer:
The sum is 92.

Explanation:
In the above-given question,
given that,
the numbers are 74 and 18.
74 + 18 = 92.

On Your Own

Rewrite the addition problem. Then add.

Question 9.

Answer:
The sum is 81.

Explanation:
In the above-given question,
given that,
the numbers are 27 and 54.
27 + 54 = 81.

Question 10.

Answer:
The sum is 64.

Explanation:
In the above-given question,
given that,
the numbers are 34 and 30.
34 + 30 = 64.

Question 11.

Answer:
The sum is 43.

Explanation:
In the above-given question,
given that,
the numbers are 26 and 17.
26 + 17 = 43.

Question 12.

Answer:
The sum is 86.

Explanation:
In the above-given question,
given that,
the numbers are 48 and 38.
48 + 38 = 86.

Question 13.

Answer:
The sum is 82.

Explanation:
In the above-given question,
given that,
the numbers are 50 and 32.
50 + 32 = 82.

Question 14.

Answer:
The sum is 99.

Explanation:
In the above-given question,
given that,
the numbers are 61 and 38.
61 + 38 = 99.

Question 15.

Answer:
The sum is 80.

Explanation:
In the above-given question,
given that,
the numbers are 37 and 43.
37 + 43 = 80.

Question 16.

Answer:
The sum is 96.

Explanation:
In the above-given question,
given that,
the numbers are 79 and 17.
79 + 17 = 96.

Question 17.

Answer:
The sum is 85.

Explanation:
In the above-given question,
given that,
the numbers are 45 and 40.
45 + 40 = 85.

Question 18.

Answer:
The sum is 73.

Explanation:
In the above-given question,
given that,
the numbers are 21 and 52.
21 + 52 = 73.

Question 19.

Answer:
The sum is 93.

Explanation:
In the above-given question,
given that,
the numbers are 17 and 76.
17 + 7 = 93.

Question 20.

Answer:
The sum is 97.

Explanation:
In the above-given question,
given that,
the numbers are 68 and 29.
68 + 29 = 97.

Question 21.
THINK SMARTER
For which of the problems above could you find the sum without rewriting it? Explain.

__________________________________
__________________________________
__________________________________

Problem Solving • Applications

Use the table. Write or draw to show how you solved the problem.

Question 22.
MATHEMATICAL PRACTICE
Analyze Relationships Which two players scored 56 points in all? Add to check your answer.
_Lou_ and _Kevin_

Answer:
The two players who scored 56 points in all = Lou and Kevin.

Explanation:
In the above-given question,
given that,
Lou scored this season = 37.
Kevin scored this season = 19.
37 + 19 = 56.
the two players who scored 56 points in all = Lou and Kevin.
Question 23.
THINK SMARTER
Shawn says he can find the sum of 20 + 63 without rewriting it. Explain how to find the sum using mental math.
______10___+ __10_______________
_____60___+__3________________
______20____+____63____________
________83__________________

Answer:
The sum is 83.

Explanation:
In the above-given question,
given that,
the numbers are 20 and 63.
20 + 63 = 83.

TAKE HOME ACTIVITY
• Have your child write and solve another problem, using the table above.

Rewrite 2-Digit Addition Homework & Practice 4.8

Rewrite the numbers. Then add.

Question 1.

Answer:
The sum is 46.

Explanation:
In the above-given question,
given that,
the numbers are 27 and 19.
27 + 19 = 46.

Question 2.

Answer:
The sum is 59.

Explanation:
In the above-given question,
given that,
the numbers are 36 and 23.
36 + 23 = 59.

Question 3.

Answer:
The sum is 60.

Explanation:
In the above-given question,
given that,
the numbers are 31 and 29.
31 + 29 = 60.

Question 4.

Answer:
The sum is 71.

Explanation:
In the above-given question,
given that,
the numbers are 48 and 23.
48 + 23 = 71.

Question 5.

Answer:
The sum is 65.

Explanation:
In the above-given question,
given that,
the numbers are 53 and 12.
53 + 12 = 65.

Question 6.

Answer:
The sum is 82.

Explanation:
In the above-given question,
given that,
the numbers are 69 and 13.
69 + 13 = 82.

Question 7.

Answer:
The sum is 62.

Explanation:
In the above-given question,
given that,
the numbers are 24 and 38.
24 + 38 = 62.

Question 8.

Answer:
The sum is 83.

Explanation:
In the above-given question,
given that,
the numbers are 46 and 37.
46 + 37 = 83.

Problem Solving

Use the table. Show how you solved the problem.

Question 9.
How many pages did Sasha and Kara read together?
_91_ pages

Answer:
The number of pages Sasha and Kara read together = 91.

Explanation:
In the above-given question,
given that,
Sasha read 62 pages.
Kara read 29 pages.
62 + 29 = 91.
the number of pages Sasha and Kara read together = 91.

Question 10.
WRITE Math
Explain what can happen if you line up the digits incorrectly when you rewrite addition problems.
__________________________
__________________________
__________________________

Lesson Check

Question 1.
What is the sum of 39 + 17?

Answer:
The sum is 56.

Explanation:
In the above-given question,
given that,
the numbers are 39 and 17.
39 + 17 = 56.

Question 2.
What is the sum of 28 + 16?

Answer:
The sum is 44.

Explanation:
In the above-given question,
given that,
the numbers are 28 and 16.
28 + 16 = 44.

Spiral Review

Question 3.
What number is another way to write 60 + 4?
____64_____

Answer:
The number is 64.

Explanation:
In the above-given question,
given that,
the numbers are 60 and 4.
60 + 4 = 64

Question 4.
The classroom has 4 desks in each row. There are 5 rows. How many desks are there in the classroom?
_20_ desks

Answer:
The number of desks are there in the classroom = 20.

Explanation:
In the above-given question,
given that,
The classroom has 4 desks in each row.
There are 5 rows.
4 + 4 + 4 + 4 + 4 = 20.
the number of desks are there in the classroom = 20.
Question 5.
A squirrel collected 17 acorns. Then the squirrel collected 31 acorns. How many acorns did the squirrel collect?
_48_ acorns

Answer:
The number of acorns did the squirrel collect = 48.

Explanation:
In the above-given question,
given that,
A squirrel collected 17 acorns.
Then the squirrel collected 31 acorns.
17 + 31 = 48.
The number of acorns did the squirrel collect = 48.
Question 6.
What number can be written as 3 hundreds 7 tens 5 ones?
_375__

Answer:
The number is 375.

Explanation:
In the above-given question,
given that,
the numbers are 300, 70 and 5.
300 + 70 + 5 = 375.
The number can be written as 3 hundred 7 tens and 5 ones.

Lesson 4.9 Problem Solving • Addition

Essential Question
How can drawing a diagram help when solving addition problems?

Kendra had 13 crayons. Her dad gave her some more crayons. Then she had 19 crayons. How many crayons did Kendra’s dad give her?

Answer:
The number of crayons did Kendra’s dad give = 6.

Explanation:
In the above-given question,
given that,
Kendra had 13 crayons.
Her dad gave her some more crayons.
Then she had 19 crayons.
19 – 13 = 6.
the number of crayons did Kendra’s dad give = 6.

Question 6.
What number can be written as 3 hundreds 7 tens 5 ones?

Answer:
The number is 375.

Explanation:
In the above-given question,
given that,
the numbers are 300, 70 and 5.
300 + 70 + 5 = 375.
The number can be written as 3 hundred 7 tens and 5 ones.

Unlock the Problem

What do I need to find?

Kendra’s dad gave her

What information do I need to use?

She had __ crayons. After he gave her some more crayons, she had __ crayons.

Show how to solve the problem.

Answer:
The number of crayons did Kendra’s dad give = 6.

Explanation:
In the above-given question,
given that,
Kendra had 13 crayons.
Her dad gave her some more crayons.
Then she had 19 crayons.
13 + 6 = 19.
the number of crayons did Kendra’s dad give = 6.

HOME CONNECTION
• Your child used a bar model and a number sentence to represent the problem. These help show what the missing amount is in order to solve the problem.

Try Another Problem

Label the bar model. Write a number sentence with a for the missing number. Solve.

Question 1.
Mr. Kane has 24 red pens. He buys 19 blue pens. How many pens does he have now?

Answer:
The number of pens does he have now = 43.

Explanation:
In the above-given question,
given that,
Mr. Kane has 24 red pens. He buys 19 blue pens.
24 + 19 = 43.
the number of pens does he have now = 43.

Question 2.
Hannah has 10 pencils. Jim and Hannah have 17 pencils altogether. How many pencils does Jim have?

Answer:
The number of pencils does Jim have = 7.

Explanation:
In the above-given question,
given that,
Hannah has 10 pencils.
Jim and Hannah have 17 pens together.
17 – 10 = 7.
the number of pencils does Jim have = 7.

Math Talk
MATHEMATICAL PRACTICES
Explain how you know if an amount is a part or the whole in a problem.

Share and Show MATH BOARD

Label the bar model. Write a number sentence with a for the missing number. Solve.

Question 3.
Aimee and Matthew catch 17 crickets in all. Aimee catches 9 crickets. How many crickets does Matthew catch?
__ crickets

__________________________

Answer:
The number of crickets does Matthew catch = 8.

Explanation:
In the above-given question,
given that,
Aimee and Matthew catch 17 crickets in all.
Aimee catches 9 crickets.
17 – 9 = 8.
the number of crickets does Matthew catch = 8.

Question 4.
Percy counts 16 grasshoppers at the park. He counts 15 grasshoppers at home. How many grasshoppers does Percy count?

_31_ grasshoppers

Answer:
The number of grasshoppers does percy count = 31.

Explanation:
In the above-given question,
given that,
Percy counts 16 grasshoppers at the park.
He counts 15 grasshoppers at home.
16 + 15 = 31.
the number of grasshoppers does percy count = 31.

Question 5.
There are three groups of owls. There are 17 owls in each of the first two groups. There are 47 owls in all. How many owls are in the third group?

Answer:
The number of owls in the third group = 30.

Explanation:
In the above-given question,
given that,
There are three groups of owls.
There are 17 owls in each of the first two groups.
There are 47 owls in all.
47 – 17 = 30.
the number of owls in the third group = 30.

On Your Own WRITE Math

Write or draw to explain.

Question 6.
There are 37 paper clips in the box and 24 paper clips on the table. How many paper clips are there in all?

_61_ paper clips

Answer:
The number of paper clips are there in all = 61.

Explanation:
In the above-given question,
given that,
There are 37 paper clips in the box and 24 paper clips on the table.
37 + 24 = 61.
the number of paper clips are there in all = 61.

Question 7.
MATHEMATICAL PRACTICE
Make Sense of Problems Jeff has 19 postcards and 2 pens. He buys 20 more postcards. How many postcards does he have now?

_39_ postcards

Answer:
The number of postcards he have now = 39.

Explanation:
In the above-given question,
given that,
Jeff has 19 postcards and 2 pens.
He buys 20 more postcards.
19 + 20 = 39.
the number of postcards he have now = 39.

Question 8.
GO DEEPER
There are a total of 41 chickens on the farm. There are 13 chickens in each of the 2 cages in the barn. The rest of the chickens are outside. How many chickens are outside?
_15_ chickens

Answer:
The number of chickens are outside = 15.

Explanation:
In the above-given question,
given that,
There are a total of 41 chickens on the farm.
There are 13 chickens in each of the 2 cages in the barn.
26 – 41 = 15.
The number of chicken are outside = 15.
Question 9.
THINK SMARTER
There are 23 books in a box. There are 29 books on a shelf. How many books are there?
_52_ books

Answer:
The number of books = 52.

Explanation:
In the above-given question,
given that,
There are 23 books in a box.
There are 29 books on a shelf.
23 + 29 = 52.
the number of books = 52.

TAKE HOME ACTIVITY
• Ask your child to explain how to solve one of the problems above.

Problem Solving • Addition Homework & Practice 4.9

Label the bar model. Write a number sentence with a for the missing number. Solve.

Question 1.
Jacob counts 37 ants on the sidewalk and 11 ants on the grass. How many ants does Jacob count?

Answer:
The number of ants Jacob count = 48.

Explanation:
In the above-given question,
given that,
Jacob counts 37 ants on the sidewalk and 11 ants on the grass.
37 + 11 = 48.
the number of ants Jacob count = 48.

Question 2.
There are 14 bees in the hive and 17 bees in the garden. How many bees are there?

Answer:
The number of bees are there = 31.

Explanation:
In the above-given question,
given that,
There are 14 bees in the hive and 17 bees in the garden.
14 + 17 = 31.
the number of bees are there = 31.

Question 3.
WRITE Math
Describe how you labeled the bar model and wrote a number sentence to solve Exercise 2.
__________________________________
__________________________________
__________________________________
__________________________________
__________________________________
__________________________________

Lesson Check

Question 1.
Sean and Abby have 23 markers altogether. Abby has 14 markers. How many markers does Sean have?

Answer:
The number of markers does Sean have = 9.

Explanation:
In the above-given question,
given that,
Sean and Abby have 23 markers altogether.
Abby has 14 markers.
23 – 14 = 9.
the number of markers does Sean have = 9.

Question 2.
Mrs. James has 22 students in her class. Mr. Williams has 24 students in his class. How many students are in the two classes?

Answer:
The number of students in two calsses = 66.

Explanation:
In the above-given question,
given that,
Mrs. James has 22 students in her class.
Mr. Williams has 24 students in his class.
22 + 44 = 66.
the number of students in two classes = 66.

Spiral Review

Question 3.
What is the difference?
15 – 9 = _6__

Answer:
The difference is 6.

Explanation:
In the above-given question,
given that,
the numbers are 15 and 9.
15 – 9 = 6.

Question 4.
What is the sum?
7 + 5 = __12_

Answer:
The sum is 12.

Explanation:
In the above-given question,
given that,
the numbers are 7 and 5.
7 + 5 = 12.

Question 5.
Jan has 14 blocks. She gives 9 blocks to Tim. How many blocks does Jan have now?
14 – 9 = _5_ blocks

Answer:
The number of blocks does Jan have = 5.

Explanation:
In the above-given question,
given that,
Jan has 14 blocks.
She gives 9 blocks to Tim.
14 – 9 = 5.
the number of blocks does Jan have = 5.

Question 6.
What is the next number in the counting pattern?
29, 39, 49, 59, _69__

Answer:
The number is 69.

Explanation:
In the above-given question,
given that,
the numbers are 29, 39, 49, 59, and 69.
the numbers are adding by 10.
the number is 69.

Lesson 4.10 Algebra • Write Equations to Represent Addition

Essential Question
How do you write a number sentence to represent a problem?

Listen and Draw
Draw to show how you found the answer.

Answer:
The number of students in two calsses = 66.

Explanation:
In the above-given question,
given that,
Mrs. James has 22 students in her class.
Mr. Williams has 24 students in his class.
22 + 44 = 66.
the number of students in two classes = 66.

Math Talk
MATHEMATICAL PRACTICES
Communicate Explain how you found the number of children on the bus.

Model and Draw

You can write a number sentence to show a problem.
Sandy has 16 pencils. Nancy has 13 pencils. How many pencils do the two girls have?


The two girls have _29_ pencils

Answer:
The number of pencils = 29.

Explanation:
In the above-given question,
given that,
Sandy has 16 pencils.
Nancy has 13 pencils.
16 + 13 = 29.
the number of pencils = 29.

Share and Show MATH BOARD

Write a number sentence for the problem. Use a for the missing number. Then solve.

Question 1.
Carl sees 25 melons at the store. 15 are small and the rest are large. How many melons are large?

_10__ melons

Answer:
The number of melons are large = 10.

Explanation:
In the above-given question,
given that,
Carl sees 25 melons at the store.
15 are small and the rest are lerge.
25 – 15 = 10.
the number of melons are large = 10.

Question 2.
83 people went to a movie on Thursday. 53 of them were children and the rest were adults. How many adults were at the movie?
__83_-_53__=__30____
__30_ adults

Answer:
The number of adults were at the movie = 30.

Explanation:
In the above-given question,
given that,
83 people went to a movie on thursday.
53 of them were children and the rest were adults.
83 – 53 = 30.
the number of adults were at the movie = 30.

On Your Own

Write a number sentence for the problem. Use a for the missing number. Then solve.

Question 3.
Jake had some stamps. Then he bought 20 more stamps. Now he has 56 stamps. How many stamps did Jake have to start?

_36_ stamps

Answer:
The number of stamps did jake have to start = 36.

Explanation:
In the above-given question,
given that,
Jake had some stamps.
Then he bought 20 more stamps.
Now he has 56 stamps.
56 – 20 = 36.
the number of stamps did jake have to start = 36.

Question 4.
THINK SMARTER
Braden’s class went to the park. They saw 26 oak trees and 14 maple trees. They also saw 13 cardinals and 35 blue jays. Compare the number of trees and the number of birds that the class saw.

Answer:
The number of trees = 40.
The number of birds = 48.

Explanation:
In the above-given question,
given that,
Braden’s class went to the park.
They saw 26 oak trees and 14 maple trees.
They also saw 13 cardinals and 35 blue jays.
40 + 48.
the number of trees = 40.
the number of birds = 48.

MATHEMATICAL PRACTICES
Explain Amy needs about 70 paper clips. Without adding, circle 2 boxes that would be close to the amount that she needs. Explain how you made your choices.

__70___clips_______
__81____clips______
___70_+__81______

Answer:
The number clips = 70, and 81.

Explanation:
In the above-given question,
given that,
Amy needs about 70 paper clips.
Without adding, circle 2 boxes that would be close to the amount that she needs.
the number clips = 70, and 81.

Problem Solving • Applications

Question 6.
MATHEMATICAL PRACTICE
Make Sense of Problems
Mr. Walton baked 24 loaves of bread last week. He baked 28 loaves of bread this week. How many loaves of bread did he bake in the two weeks?
_52__ loaves of bread

Answer:
The number of loaves of bread did he bake = 52.

Explanation:
In the above-given question,
given that,
Mr. Walton baked 24 loaves of bread last week.
He baked 28 loaves of bread this week.
24 + 28 = 52.
the number of loaves of bread did he bake = 52.

Question 7.
THINK SMARTER
Denise saw these bags of oranges at the store.

Denise bought 26 oranges. Which two bags of oranges did she buy? Draw or write to show how you solved the problem.

Explain how you found the numbers that have a sum of 26.
___14_________
___12_________
_14__+_12__=__26____

Answer:
The number of oranges did she buy = 14 and 12.

Explanation:
In the above-given question,
given that,
Denise bought 26 oranges.
Which two bags of oranges did she buy.
14 + 12 = 36.
the number of oranges did she buy = 36.

TAKE HOME ACTIVITY
• Have your child explain how he or she writes a number sentence to stand for a problem.

Algebra • Write Equations to Represent Addition Homework & Practice 4.10

Write a number sentence for the problem. Use a for the missing number. Then solve.

Question 1.
Emily and her friends went to the park. They saw 15 robins and 9 blue jays. How many birds did they see?
__24__
_24_ birds

Answer:
The number of birds did they see = 24.

Explanation:
In the above-given question,
given that,
Emily and her friends went to the park.
They saw 15 robins and 9 blue jays.
15 + 9 = 24.
the number of birds did they see = 24.

Question 2.
Joe has 13 fish in one tank. He has 8 fish in another tank. How many fish does Joe have?
__13_+_8_____
_21_ fish

Answer:
The number of fish does Joe has = 21.

Explanation:
In the above-given question,
given that,
Joe has 13 fish in one tank.
He has 8 fish in another tank.
13 + 8 = 21.
the number of fish does Joe have = 21.

Problem Solving

Solve.

Question 3.
There are 21 children in Kathleen’s class. 12 of the children are girls. How many children in her class are boys?
_9_ boys

Answer:
The number of children in her class is boys = 9.

Explanation:
In the above-given question,
given that,
There are 21 children in Kathleen’s class.
12 of the children are girls.
21 – 12 = 9.
the number of children in her class is boys = 9.

Question 4.
WRITE Math
Explain how you decided what number sentence to write for Exercise 1.
__________________________
__________________________
__________________________
__________________________

Lesson Check

Question 1.
Clare has 14 blocks. Jasmine has 6 blocks. How many blocks do they have?
14 + 6 = _20_ blocks

Answer:
The number of blocks do they have = 20.

Explanation:
In the above-given question,
given that,
Clare has 14 blocks.
Jasmine has 6 blocks.
14 + 6 = 20.
the number of blocks do they have = 20.

Question 2.
Matt finds 16 acorns at the park. Trevor finds 18 acorns. How many acorns do they find?
16 + 8 = _24_ acorns

Answer:
The number of acorns do they find = 24.

Explanation:
In the above-given question,
given that,
Matt finds 16 acorns at the park.
Trevor finds 18 acorns.
16 + 18 = 24.
the number of acorns do they find = 24.

Spiral Review

Question 3.
Leanne counted 19 ants. Gregory counted 6 ants. How many more ants did Leanne count than Gregory?
19 – 6 = _13_ ants

Answer:
The number of more ants did Leanne count = 13.

Explanation:
In the above-given question,
given that,
Leanne counted 19 ants.
Gregory counted 6 ants.
19 – 6 = 13.
the number of more ants did Leanne count = 13.

Question 4.
What is the sum?
4 + 3 + 6 = _13__

Question 5.
Ms. Santos puts seashells into 4 rows. She puts 6 seashells in each row. How many seashells are there altogether?
_24_ seashells

Answer:
The number of seashells = 24.

Explanation:
In the above-given question,
given that,
Ms. Santos puts seashells into 4 rows.
she puts 6 seashells in each row.
6 x 4 = 24.
the number of seashells = 24.

Question 6.
Circle the even number

Answer:
The number is 14.

Explanation:
In the above-given question,
given that,
the numbers are 9, 14, 17, and 21.
among all the numbers.
14 is an even number.

Lesson 4.11 Algebra • Find Sums for 3 Addends

Essential Question
What are some ways to add 3 numbers?

Listen and Draw

Draw to show each problem.

Math Talk
MATHEMATICAL PRACTICES

Which numbers did you add first in the first problem? Explain why.

Model and Draw

There are different ways to add three numbers.
How can you add 23, 41, and 17?
Think of different ways to choose digits in the ones column to add first.

Share and Show MATH BOARD

Add.

Question 1.

Answer:
The sum is 99.

Explanation:
In the above-given question,
given that,
the numbers are 33, 34, and 32.
4 + 3 = 7 and 7 + 2 = 9.
4 + 2 = 6 and 6 + 3 = 9.
3 + 3 + 3 = 9.
The number is 99.

Question 2.

Answer:
The sum is 75.

Explanation:
In the above-given question,
given that,
the numbers are 47, 21, and 7.
7 + 1 = 8 and 1 + 7 = 8.
7 + 7 = 14 and 7 + 7 = 14.
4 + 2 + 0 = 6.
47 + 21 + 7 = 75.
The number is 75.

Question 3.

Answer:
The sum is 93.

Explanation:
In the above-given question,
given that,
the numbers are 65, 13, and 15.
5 + 3 = 8 and 3 + 5 = 8.
3 + 5 = 8 and 5 + 3 = 8.
6 + 1 + 1 = 8.
65 + 13 + 15 = 93.
The number is 93.

Question 4.

Answer:
The sum is 107.

Explanation:
In the above-given question,
given that,
the numbers are 58, 27, and22.
8 + 7 = 15 and 7 + 8 = 15.
7 + 2 = 9 and 2 + 7 = 9.
5 + 2 + 2 = 9.
58 + 27 + 22 = 107.
The number is 107.

Question 5.

Answer:
The sum is 70.

Explanation:
In the above-given question,
given that,
the numbers are 12, 22, and 36.
2 + 2 = 4 and 2 + 2 = 4.
2 + 6 = 8 and 6 + 2 = 8.
1 + 2 + 3 = 6.
12 + 22 + 36 = 70.
The number is 70.

Question 6.

Answer:
The sum is 88.

Explanation:
In the above-given question,
given that,
the numbers are 10, 42, and 36.
0 + 2 = 2 and 2 + 0 = 2.
6 + 2 = 8 and 2 + 6 = 8.
4 + 1 + 3 = 8.
10 + 42 + 36 = 88.
The number is 88.

Question 7.

Answer:
The sum is 68.

Explanation:
In the above-given question,
given that,
the numbers are 31, 21, and 16.
1 + 1 = 2 and 1 + 1 = 2.
6 + 1 = 7 and 1 + 6 = 7.
3 + 2 + 1 = 6.
31 + 21 + 16 = 68.
The number is 68.

Question 8.

Answer:
The sum is 107.

Explanation:
In the above-given question,
given that,
the numbers are 30, 29, and 48.
0 + 9 = 9 and 9 + 0 = 9.
9 + 8 = 17 and 8 + 9 = 17.
4 + 2 + 3 = 9.
30 + 29 + 48 = 107.
The number is 107.

On Your Own

Add.

Question 9.

Answer:
The sum is 67.

Explanation:
In the above-given question,
given that,
the numbers are 22, 27, and 18.
2 + 7 = 9 and 7 + 2 = 9.
7 + 8 = 15 and 8 + 7 = 15.
2 + 2 + 1 = 5.
22 + 27 + 18 = 67.
The number is 67.

Question 10.

Answer:
The sum is 76.

Explanation:
In the above-given question,
given that,
the numbers are 26, 31, and 19.
6 + 1 = 7 and 1 + 6 = 7.
1 + 9 = 9 and 9 + 1 = 9.
2 + 3 + 1 = 6.
26 + 31 + 19 = 76.
The number is 76.

Question 11.

Answer:
The sum is 88.

Explanation:
In the above-given question,
given that,
the numbers are 24, 11, and 53.
4 + 1 = 5 and 1 + 4 = 4.
1 + 3 = 3 and 3 + 1 = 4.
2 + 1 + 5 = 8.
24 + 11 + 53 = 88.
The number is 88.

Question 12.

Answer:
The sum is 80.

Explanation:
In the above-given question,
given that,
the numbers are 33, 43, and 4.
3 + 3 = 6 and 3 + 4 = 7.
7 + 6 = 13 and 6 + 7 = 13.
3 + 4 + 0 = 7.
33 + 43 + 4 = 80.
The number is 80.

Question 13.

Answer:
The sum is 89.

Explanation:
In the above-given question,
given that,
the numbers are 40, 17, and 32.
7 + 2 = 9 and 2 + 7 = 9.
4 + 1 + 3 = 8.
40 + 17 + 32 = 89.
The number is 89.

Question 14.

Answer:
The sum is 75.

Explanation:
In the above-given question,
given that,
the numbers are 25, 25, and 25.
5 + 5 = 10 and 5 + 5 = 10.
10 + 5 = 15 and 5 + 10 = 15.
2 + 2 + 2 = 6.
25 + 25 + 25 = 75.
The number is 75.

Question 15.

Answer:
The sum is 108.

Explanation:
In the above-given question,
given that,
the numbers are 19, 65, and 24.
9 + 5 = 14 and 5 + 9 = 14.
14 + 4 = 18 and 4 + 14  = 18.
1 + 2 + 6 = 10.
19 + 65 + 24 = 108.
The number is 108.

Question 16.

Answer:
The sum is 93.

Explanation:
In the above-given question,
given that,
the numbers are 73, 4, and 16.
3 + 4 = 7 and 4 + 3 = 7.
4 + 6 = 10 and 10 + 3 = 13.
7 + 1 + 0 = 8.
73 + 4 + 16 = 93.
The number is 93.

Question 17.
GO DEEPER
Mrs. Carson is making food for a party. She makes 20 ham sandwiches, 34 turkey sandwiches, and 38 tuna salad sandwiches. How many sandwiches does she make for the party?
_92_ sandwiches

Answer:
The number of sandwiches = 92.

Explanation:
In the above-given question,
given that,
Mrs. Carson is making food for a party.
She mekes 20 ham sandwwiches, 34 turkey sandwiches, and 38 tuna salad sandwiches.
20 + 34 + 38 = 92
the number of sandwiches = 92.

Question 18.
THINK SMARTER
Sophia had 44 marbles. She bought 24 more marbles. Then John gave her 35 marbles. How many marbles does Sophia have now?

_108_ marbles

Answer:
The number of marbles does Sophia have now = 108.

Explanation:
In the above-given question,
given that,
Sophia had 44 marbles.
she bought 24 more marbles.
Then John gave her 35 marbles.
44 + 24 + 35 = 108.
the number of seashells = 108.

Problem Solving • Applications

Solve. Write or draw to explain.

Question 19.
MATHEMATICAL PRACTICE
Evaluate Mrs. Shaw has 23 red notebooks, 15 blue notebooks, and 27 green notebooks. How many notebooks does she have?
_65_ notebooks

Answer:
The number of notebooks = 65.

Explanation:
In the above-given question,
given that,
Mrs. Shaw has 23 red notebooks, 15 blue notebooks, and 27 green notebooks.
23 + 15 + 27 = 65.
the number of notebooks = 65.

Question 20.
MATHEMATICAL PRACTICE
Model Mathematics
Write a story problem that could be solved using this number sentence.
12 + 28 + = 53
__12_+_28__+_13__=_53_______
_____53__-_40_=_13________________
__________________________
__________________________

Answer:
The sum is 53.

Explanation:
In the above-given question,
given that,
the numbers are 12, 28, and 13.
53 – 40 = 13.
the number is 13.

Question 21.
THINK SMARTER
Mr. Samson gave his students 31 yellow pencils, 27 red pencils, and 25 blue pencils. How many pencils did he give to his students?
_83_ pencils

Answer:
The number of pencils = 83.

Explanation:
In the above-given question,
given that,
Mr. Samson gave his students 31 yellow pencils, 27 red pencils, and 25 blue pencils.
31 + 27 + 25 = 83.
the number of pencils = 83.

TAKE HOME ACTIVITY
• Ask your child to show you two ways to add 17, 13, and 24.

Algebra • Find Sums for 3 Addends Homework & Practice 4.11

Add.

Question 1.

Answer:
The sum is 68.

Explanation:
In the above-given question,
given that,
the numbers are 23, 20, and 25.
3 + 0 = 3 and 3 + 5 = 8.
5 + 3 = 8.
2 + 2 + 2 = 6.
23 + 20 + 25 = 68.

Question 2.

Answer:
The sum is 75.

Explanation:
In the above-given question,
given that,
the numbers are 15, 22, and 38.
5 + 2 = 7 and 2 + 5 = 7.
8 + 2 = 10 and 10 + 5  = 15.
1 + 2 + 3 = 6.
15 + 22 + 38 = 75.

Question 3.

Answer:
The sum is 99.

Explanation:
In the above-given question,
given that,
the numbers are 13, 52, and 34.
3 + 2 = 5 and 5 + 4 = 9.
1 + 5 + 3 = 9.
13 + 52 + 34 = 99.

Question 4.

Answer:
The sum is 86.

Explanation:
In the above-given question,
given that,
the numbers are 27, 40, and 19.
7 + 9 = 16 and 9 + 7 = 16.
1 + 2 + 4 = 7.
27 + 40 + 19 = 86.

Question 5.

Answer:
The sum is 100.

Explanation:
In the above-given question,
given that,
the numbers are 31, 45, and 24.
1 + 5 = 5 and 5 + 4 = 9.
3 + 2 + 4 = 9.
31 + 45 + 24 = 100.

Question 6.

Answer:
The sum is 73.

Explanation:
In the above-given question,
given that,
the numbers are 34, 11, and 28.
4 + 1 = 5 and 5 + 8 = 13.
1 + 2 + 3 = 6.
34 + 11 + 28 = 73.

Question 7.

Answer:
The sum is 89.

Explanation:
In the above-given question,
given that,
the numbers are 42, 36, and 11.
2 + 6 = 8 and 8 + 1 = 9.
4 + 3 + 1 = 8.
42 + 36 + 11 = 89.

Question 8.

Answer:
The sum is 74.

Explanation:
In the above-given question,
given that,
the numbers are 18, 22, and 34.
8 + 2 = 10 and 2 + 4 = 6.
10 + 4 = 14 and 4 + 10  = 14.
1 + 2 + 3 = 6.
18 + 22 + 34 = 74.

Question 9.

Answer:
The sum is 97.

Explanation:
In the above-given question,
given that,
the numbers are 53, 19, and 25.
9 + 5 = 14 and 3 + 9 = 12.
12 + 5 = 17.
1 + 2 + 5 = 8.
53 + 19 + 25 = 97.

Problem Solving

Solve. Write or draw to explain.

Question 10.
Liam has 24 yellow pencils, 15 red pencils, and 9 blue pencils. How many pencils does he have altogether?
_48__ pencils

Answer:
The number of pencils = 48.

Explanation:
In the above-given question,
given that,
Liam has 24 yellow pencils, 15 red pencils, and 9 blue pencils.
24 + 15 + 9 = 48.
The number of pencils = 48.
Question 11.
WRITE Math
Describe how you would find the sum of 24, 36, and 13.

__________________________
__________________________

Answer:
The sum is 73.

Explanation:
In the above-given question,
given that,
the numbers are 24, 36, and 13.
4 + 6 = 10 and 3 + 6 = 9.
10 + 9 = 19.
1 + 2 + 3 = 6.
24 + 36 + 13 = 73.

Lesson Check

Question 1.
What is the sum?

Answer:
The sum is 69.

Explanation:
In the above-given question,
given that,
the numbers are 22, 31, and 16.
2 + 1 = 3 and 6 + 1 = 7.
7 + 3 = 10.
1 + 2 + 3 = 6.
22 + 31+ 16 = 69.

Question 2.
What is the sum?

Answer:
The sum is 73.

Explanation:
In the above-given question,
given that,
the numbers are 17, 26, and 30.
7 + 6 = 13 and 6 + 7 = 13.
1 + 2 + 3 = 6.
17 + 26 + 30 = 73.

Spiral Review

Question 3.
What number is 10 more than 127?
____137_____

Answer:
The number is 137.

Explanation:
In the above-given question,
given that,
the number is 127.
10 more than 127 = 128.
the number is 137.

Question 4.
Mr. Howard’s phone has 4 rows of buttons. There are 3 buttons in each row. How many buttons are on Mr. Howard’s phone?
_12_ buttons

Answer:
The number of buttons = 12.

Explanation:
In the above-given question,
given that,
Mr. Howard’s phone has 4 rows of buttons.
there are 3 buttons in each row.
4 x 3 = 12.
the number of buttons = 12.
Question 5.
Bob tosses 8 horseshoes. Liz tosses 9 horseshoes. How many horseshoes do they toss?
8 + 9 = _17_ horseshoes

Answer:
The number of horseshoes = 17.

Explanation:
In the above-given question,
given that,
Bob tosses 8 horseshoes.
Liz tosses 9 horseshoes.
8 + 9 = 17.
The number of horseshoes = 17.

Question 6.
What number can be written 3 hundreds 1 ten 5 ones?
__315_______

Answer:
The number is 315.

Explanation:
In the above-given question,
given that,
The number can be written has 3 hundreds 1 ten 5 ones.
the number is 315.

Lesson 4.12 Algebra • Find Sums for 4 Addends

Essential Question
What are some ways to add 4 numbers?

Listen and Draw

Show how you solved each problem.

Math Talk
MATHEMATICAL PRACTICES
Describe how you found the answer to the first problem.

Share and Show MATH BOARD

Add.

Question 1.

Answer:
The sum is 87.

Explanation:
In the above-given question,
given that,
the numbers are 23, 11, 22, and 31.
3 + 1 = 4 and 2 + 1 = 3.
4 + 3 = 7.
1 + 2 + 3 + 2 = 8.
23 + 11 + 22 + 31 = 87.

Question 2.

Answer:
The sum is 73.

Explanation:
In the above-given question,
given that,
the numbers are 30, 15, 3, and 25.
3 + 5 = 8 and 5 + 3 = 8.
8 + 5 = 13.
1 + 2 + 3  = 8.
30 + 15 + 25 + 3 = 73.

Question 3.

Answer:
The sum is 105.

Explanation:
In the above-given question,
given that,
the numbers are 13, 26, 54, and 12.
3 + 6 = 9 and 4 + 2 = 6.
9 + 6 = 15.
1 + 2 + 5 + 1 = 9.
13 + 26 + 54 + 12 = 105.

Question 4.

Answer:
The sum is 65.

Explanation:
In the above-given question,
given that,
the numbers are 27, 2, 23, and 13.
3 + 3 = 6 and 2 + 7 = 9.
9 + 6 = 15.
1 + 2 + 2 = 5.
27 + 2 + 23 + 13 = 65.

Question 5.

Answer:
The sum is 145.

Explanation:
In the above-given question,
given that,
the numbers are 45, 14, 35, and 51.
5 + 4 = 9 and 5 + 1 = 6.
9 + 6 = 15.
1 + 4 + 3 + 5 = 13.
45 + 14 + 35 + 51 = 145.

Question 6.

Answer:
The sum is 98.

Explanation:
In the above-given question,
given that,
the numbers are 32, 21, 15, and 30.
2 + 1 = 3 and 5 + 0 = 5.
5 + 3 = 8.
1 + 2 + 3 + 3 = 9.
32 + 21 + 15 + 30 = 98.

On Your Own

Add.

Question 7.

Answer:
The sum is 95.

Explanation:
In the above-given question,
given that,
the numbers are 36, 12, 21, and 26.
6 + 2 = 8 and 6 + 1 = 7.
8 + 7 = 15.
1 + 2 + 3 + 2 = 8.
36 + 12 + 21 + 26 = 95.

Question 8.

Answer:
The sum is 68.

Explanation:
In the above-given question,
given that,
the numbers are 14, 23, 20, and 11.
4 + 3 = 7 and 3 + 1 = 4.
7 + 1 = 8.
1 + 2 + 1 + 2 = 6.
14 + 23 + 20 + 11 = 68.

Question 9.

Answer:
The sum is 77.

Explanation:
In the above-given question,
given that,
the numbers are 22, 13, 15, and 27.
3 + 2 = 5 and 5 + 7 = 12.
12 + 5 =17.
1 + 2 + 1 + 2 = 6.
22 + 13 + 15 + 27 = 77.

Question 10.

Answer:
The sum is 120.

Explanation:
In the above-given question,
given that,
the numbers are 45, 12, 41, and 22.
2 + 1 = 3 and 2 + 5 = 7.
7 + 3 = 10.
1 + 2 + 4 + 4 = 11.
45 + 12 + 41 + 22 = 120.

Question 11.

Answer:
The sum is 214.

Explanation:
In the above-given question,
given that,
the numbers are 59, 31, 51, and 73.
3 + 1 = 4 and 9 + 1 = 10.
4 + 10 = 14.
5 + 5 + 3 + 7 = 20.
59 + 31 + 51 + 73 = 214.

Question 12.

Answer:
The sum is 97.

Explanation:
In the above-given question,
given that,
the numbers are 34, 10, 22, and 31.
2 + 1 = 3 and 4 + 0 = 4.
4 + 3 = 7.
1 + 3 + 3 + 2 = 9.
34 + 10 + 22 + 31 = 97.

Question 13.
GO DEEPER Some friends need 100 bows for a project. Sara brings 12 bows, Angela brings 50 bows, and Nora brings 34 bows. How many more bows do they need?
_4_ more bows

Answer:
The number of more bows = 4.

Explanation:
In the above-given question,
given that,
Sara brings 12 bows, Angela brings 50 bows, and Nora brings 34 bows.
12 + 50 + 34 = 96.
100 – 4 = 96.
The number of bows needed more = 4.
Solve. Write or draw to explain.

Question 14.
THINK SMARTER
Laney added four numbers which have a total of 128. She spilled some juice over one number. What is that number?

Answer:
The number is 33.

Explanation:
In the above-given question,
given that,
the numbers are 22 , 43, 33, and 30 = 128.
the number is 33.

Problem Solving • Applications

Use the table. Write or draw to show how you solved the problems.

Question 15.
MATHEMATICAL PRACTICE
Evaluate How many shells did the four children collect at the beach?
_96_ shells

Answer:
The number of shells = 96.

Explanation:
In the above-given question,
given that,
34 + 15 + 26 + 21 = 96.
The number of shells = 96.

Question 16.
GO DEEPER
Which two children collected more shells at the beach, Katie and Paul, or Noah and Laura?
_Katie__and___Noah______

Answer:
The two children collected more shells = Katie and Noah.

Explanation:
In the above-given question,
given that,
Katie collected 36 shells.
Noah collected 26 shells.
The number of shell collected Katie and Noah.

Question 17.
THINK SMARTER
There were 24 red beads, 31 blue beads, and 8 green beads in a jar. Then Emma put 16 beads into the jar. Write a number sentence to show the number of beads in the jar.

TAKE HOME ACTIVITY
• Have your child explain what he or she learned in this lesson.

Algebra • Find Sums for 4 Addends Homework & Practice 4.12

Add.

Question 1.

Answer:
The sum is 76.

Explanation:
In the above-given question,
given that,
the numbers are 18, 32, 23, and 3.
8 + 2 = 10 and 3 + 3 = 6.
10 + 6 = 16.
1 + 2 + 3 = 6.
18 + 32 + 23 + 3 = 76.

Question 2.

Answer:
The sum is 177.

Explanation:
In the above-given question,
given that,
the numbers are 45, 31, 29, and 72.
5 + 1 = 6 and 2 + 9 = 11.
11 + 6 = 17.
7 + 2 + 3 + 4 = 16.
45 + 31 + 29 + 72 = 177.

Question 3.

Answer:
The sum is 189.

Explanation:
In the above-given question,
given that,
the numbers are 24, 62, 70, and 33.
2 + 4 = 6 and 2 + 3 = 5.
6 + 3 = 9.
6 + 2 + 7 + 3 = 18.
24 + 62 + 70 + 33 = 189.

Question 4.

Answer:
The sum is 198.

Explanation:
In the above-given question,
given that,
the numbers are 83, 32, 61, and 22.
2 + 1 = 3 and 2 + 3 = 5.
5 + 3 = 8.
8 + 2 + 6 + 3 = 19.
83 + 32 + 61 + 22 = 198.

Question 5.

Answer:
The sum is 95.

Explanation:
In the above-given question,
given that,
the numbers are 37, 15, 31, and 12.
2 + 1 = 3 and 7 + 5 = 12.
12 + 3 = 15.
1 + 3 + 1 + 3 = 8.
37 + 15 + 31 + 12 = 95.

Question 6.

Answer:
The sum is 148.

Explanation:
In the above-given question,
given that,
the numbers are 21, 13, 96, and 18.
3 + 1 = 4 and 6 + 8 = 14.
14 + 4 = 18.
1 + 2 + 1 + 9 = 13.
21 + 13 + 96 + 18 = 148.

Problem Solving

Solve. Show how you solved the problem.

Question 7.
Kinza jogs 16 minutes on Monday, 13 minutes on Tuesday, 9 minutes on Wednesday, and 20 minutes on Thursday. What is the total number of minutes she jogged?
_58_ minutes

Answer:
The number of minutes she jogged = 58.

Explanation:
In the above-given question,
given that,
Kinza jogs 16 minutes on Monday, 13 minutes on Tuesday, 9 minutes on Wednesday, and 20 minutes on Thursday.
16 + 13 + 9 + 20 = 58.
the number of minutes she jogged = 58.
Question 8.
WRITE Math
Describe two different strategies you could use to add 16 + 35 + 24 + 14.
____89______________________

Answer:
The sum is 89.

Explanation:
In the above-given question,
given that,
the numbers are 16, 35, 24, and 14.
6 + 5 = 11 and 4 + 4 = 8.
11 + 8 = 19.
1 + 2 + 1 + 3 = 7.
16 + 35 + 24 + 14 = 89.

Lesson Check

Question 1.
What is the sum?

Answer:
The sum is 133.

Explanation:
In the above-given question,
given that,
the numbers are 33, 12, 56, and 32.
2 + 3 = 5 and 2 + 6 = 8.
5 + 8 = 13.
1 + 3 + 5 + 3 = 133.
33 + 12 + 56 + 32 = 133.

Question 2.
What is the sum?

Answer:
The sum is 178.

Explanation:
In the above-given question,
given that,
the numbers are 41, 74, 43, and 20.
4 + 1 = 5 and 3 + 0 = 3.
5 + 3 = 8.
4 + 7 + 4 + 2 = 17.
41 + 74 + 43 + 20 = 178.

Spiral Review

Question 3.
Laura had 6 daisies. Then she found 7 more daisies. How many daisies does she have now?
6 + 7 = _13_ daisies

Answer:
The number of daisies she have now = 13.

Explanation:
In the above-given question,
given that,
Laura had 6 daisies. Then she found 7 more daisies.
6 + 7 = 13.
The number of daisies she has now = 13.

Question 4.
What is the sum?

Question 5.
Alan has 25 trading cards. He buys 8 more. How many cards does he have now?
25 + 8 = _33_ cards

Answer:
The number of cards = 33.

Explanation:
In the above-given question,
given that,
Alan has 25 trading cards.
He buys 8 more.
25 + 8 = 33.
The number of cards = 33.

Question 6.
Jen saw 13 guinea pigs and 18 gerbils at the pet store. How many pets did she see?
13 + 18 = _31_ pets

Answer:
The number of pets = 31.

Explanation:
In the above-given question,
given that,
Jen saw 13 guinea pigs and 18 gerbils at the pet store.
13 + 18 = 31.
The number of pets = 31.

2-Digit Addition Chapter 4 Review/Test

Question 1.
Beth baked 24 carrot muffins. She baked 18 apple muffins. How many muffins did Beth bake? Label the bar model. Write a number sentence
with a for the missing number. Solve.

Answer:
The number of muffins Beth bake = 42.

Explanation:
In the above-given question,
given that,
Beth baked 24 carrot muffins.
She baked 18 apple muffins.
24 + 18 = 42.
The number of muffins Beth bake = 42.

Question 2.
Carlos has 23 red keys, 36 blue keys, and 44 green keys. How many keys does he have?

Answer:
The number of keys = 103.

Explanation:
In the above-given question,
given that,
Carlos has 23 red keys, 36 blue keys, and 44 green keys.
23 ++ 36 + 44 = 103.
the number of keys = 103.

Question 3.
Mike sees 17 blue cars and 25 green cars at the toy store. How many cars does he see?

Mike sees _42_ cars.

Answer:
The number of cars = 42.

Explanation:
In the above-given question,
given that,
Mike see 17 blue cars and 25 green cars at the toy store.
17 + 25 = 42.
The number of cars = 42.

Describe how you solved the problem.
__________________________
__________________________

Question 4.
Jerry has 53 pencils in one drawer. He has 27 pencils in another drawer.
Draw a picture or write to explain how to find the number of pencils in both drawers.

Jerry has _80_ pencils.

Answer:
The number of pencils = 80.

Explanation:
In the above-given question,
given that,
Jerry has 53 pencils in one drawer.
He has 27 pencils in another drawer.
the number of pencils = 80.

Question 5.
THINK SMARTER
Lauren sees 14 birds. Her friend sees 7 birds. How many birds do Lauren and her friend see? Draw quick pictures to solve. Write the sum.

Did you regroup to find the answer? Explain.
__________________________
__________________________

Answer:
The number of birds = 21.

Explanation:
In the above-given question,
given that,
Lauren sees 14 birds. Her friend sees 7 birds.
14 + 7 = 21.
The number of birds = 21.

Question 6.
Matt says he can find the sum of 45 + 50 without rewriting it. Explain how you can solve this problem using mental math.
__________________________
__________________________

Question 7.
Ling sees the three signs at the theater.

Which two sections have 78 seats?
Explain how you made your choices.
__________________________
__________________________

Answer:
The number of signs at the theater = 78.

Explanation:
In the above-given question,
given that,
Section A has 35 seats.
Section B has 43 seats.
35 + 43 = 78.
The number of signs at the theater = 78.

Question 8.
Leah put 21 white marbles, 31 black marbles, and 7 blue marbles in a bag. Then her sister added 19 yellow marbles.
Write a number sentence to show the number of marbles in the bag.
__21___+_31__+__7_=___59____________

Answer:
The number of marbles = 59.

Explanation:
In the above-given question,
given that,
Leah put 21 white marbles, 31 black marbles, and 7 blue marbles in a bag.
21 + 31 + 7 = 59.
The number of marbles = 59.

Question 9.
Nicole made a necklace. She used 13 red beads and 26 blue beads. Show how you can break apart the addends to find how many beads Nicole used.

Answer:
The number of beads = 39.

Explanation:
In the above-given question,
given that,
Nicole made a necklace. She used 13 red beads and 26 blue beads.
13 + 26 = 39.
The number of beads = 39.

Question 10.
GO DEEPER
Without finding the sums, does the pair of addends have a sum greater than 100? Choose Yes or No.

Answer:
The sum is 143.

Explanation:
In the above-given question,
given that,
the numbers are 51 and 92.
51 + 92 = 143.

Answer:
The sum is 69.

Explanation:
In the above-given question,
given that,
the numbers are 27 and 42.
27 + 42 = 69.

Answer:
The sum is 115.

Explanation:
In the above-given question,
given that,
the numbers are 82 and 33.
82 + 33 = 115.

Explain how you decided which pairs have a sum greater than 100.
__________________________
__________________________
__________________________

Answer:
The pairs which have a sum greater than 100 = 51 + 92, and 82 + 33.

Explanation:
In the above-given question,
given that,
the pairs are 51 + 92 and 82 + 33.
The numbers have greater than 100.

Question 11.
Leslie finds 24 paper clips in her desk. She finds 8 more paper clips in her pencil box. Choose all the ways you can use to find how many paper clips Leslie has in all.

Answer:
The number of paper clips = 32.

Explanation:
In the above-given question,
given that,
Leslie finds paper clips in her desk.
She finds more paper clips in her pencil box.
24 + 8 = 32.
The number of shells = 32.

Question 12.
Mr. O’Brien visited a lighthouse. He climbed 26 stairs. Then he climbed 64 more stairs to the top. How many stairs did he climb at the lighthouse?
_90_ stairs

Answer:
The number of stairs he climbed at the lighthouse = 90.

Explanation:
In the above-given question,
given that,
Mr. O’Brien visited a lighthouse.
He climbed 26 stairs.
Then he climbed 64 more stairs to the top.
26 + 64 = 90.
The number of stairs he climbed at the lighthouse = 90.