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## Go Math Grade 1 Chapter 5 Answer Key Addition and Subtraction Relationships

HMH Go Math First Grade Chapter 5 Addition and Subtraction Relationships Answers provided are as per the latest Common Core Curriculum. First Grade Go Math Ch 5 Solution Key includes Questions from Chapter Tests, Review Tests, Assessment Tests, Lessons, etc. All you have to do is just tap on the quick links available to access the respective topics within the Chapter 5 Addition and Subtraction Relationships. Download the Go Math Grade 1 Chapter 5 Addition and Subtraction Strategies PDF for free of cost.

- Addition and Subtraction Relationships Show What You Know – Page 252
- Addition and Subtraction Relationships Vocabulary Builder – Page 253
- Addition and Subtraction Relationships Game: Add to Subtract Bingo – Page 254
- Addition and Subtraction Relationships Vocabulary Game – Page(254A-254B)
- Lesson 5.1 Problem Solving • Add or Subtract – Page(255-260)
- Problem Solving • Add or Subtract Homework & Practice 5.1 – Page(259-260)
- Lesson 5.2 Record Related Facts – Page(261-266)
- Record Related Facts Homework & Practice 5.2 – Page(265-266)
- Lesson 5.3 Identify Related Facts – Page(267-272)
- Identify Related Facts Homework & Practice 5.3 – Page(271-272)
- Lesson 5.4 Use Addition to Check Subtraction – Page(273-278)
- Use Addition to Check Subtraction Homework & practice 5.4 – Page(277-278)
- Addition and Subtraction Relationships Mid-Chapter Checkpoint – Page 276
- Lesson 5.5 Algebra • Unknown Numbers – Page(279-284)
- Algebra • Unknown Numbers Homework & Practice 5.5 – Page(283-284)
- Lesson 5.6 Algebra • Use Related Facts – Page(285-290)
- Algebra • Use Related Facts Homework & practice 5.6 – Page(289-290)
- Lesson 5.7 Choose an Operation – Page(291-296)
- Choose an Operation Homework & Practice 5.7 – Page(295-296)
- Lesson 5.8 Algebra • Ways to Make Numbers to 20 – Page(297-302)
- Algebra • Ways to Make Numbers to 20 Homework & practice 5.8 – Page(301-302)
- Lesson 5.9 Algebra • Equal and Not Equal – Page(303-308)
- Algebra • Equal and Not Equal Homework & practice 5.9 – Page(307-308)
- Lesson 5.10 Facts Practice to 20 – Page(309-314)
- Facts Practice to 20 Homework & Practice 5.10 – Page(313-314)
- Addition and Subtraction Relationships Chapter 5 Review/Test – Page(315-318)

**Curious George**

Children tap the Liberty Bell 4 times. Then they tap it 9 more times. How many times do the children tap the bell?

Answer:

The number of times children tab the bell = 13 times.

Explanation:

In the above-given question,

given that,

Children tap the liberty bell 4 times.

Then they tap it 9 more times.

4 + 9 = 13.

The number of times children tap the bell = 13 times.

### Addition and Subtraction Relationships Show What You Know

**Add in Any Order**

Use . Color to match.

Write each sum.

Question 1.

Answer:

The number of cubes = 4.

Explanation:

In the above-given question,

given that,

the cubes 1 + 3 = 4.

3 + 1 = 4.

so the number of cubes = 4.

**Count On**

Use the number line to add. Write each sum.

Question 2.

6 + 3 = _9_

Answer:

The sum of 6 and 3 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 3.

6 + 3 = 9.

the sum of 6 and 3 = 9.

Question 3.

7 + 1 = _8_

Answer:

The sum of 7 and 1 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 7 and 1.

7 + 1 = 8.

the sum of 7 and 1 = 8.

Question 4.

8 + 2 = _10_

Answer:

The sum of 8 and 2 = 10.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 2.

8 + 2 = 10.

the sum of 8 and 2 = 10.

**Count Back**

Use the number line to subtract. Write each difference.

Question 5.

11 – 2 = _9_

Answer:

The difference of 11 and 2 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 11 and 2.

11 – 2 = 9.

the difference of 11 and 2 = 9.

Question 6.

8 – 3 = _5_

Answer:

The difference of 8 and 3 = 5.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 3.

8 – 3 = 5.

the difference of 8 and 3 = 5.

Question 7.

9 – 1 = _8_

Answer:

The difference of 9 and 1 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 1.

9 – 1 = 8.

the difference of 9 and 1 = 8.

### Addition and Subtraction Relationships Vocabulary Builder

**Visualize It**

Sort the review words from the box.

**Understand Vocabulary**

Follow the directions.

Question 1.

Write an addition fact.

Answer:

The sum of 8 and 2 = 10.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 2.

8 + 2 = 10.

the sum of 8 and 2 = 10.

Question 2.

What is the sum?

_10_

Answer:

The sum of 8 and 2 = 10.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 2.

8 + 2 = 10.

the sum of 8 and 2 = 10.

Question 3.

Write a subtraction fact.

Answer:

The difference of 8 and 3 = 5.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 3.

8 – 3 = 5.

the difference of 8 and 3 = 5.

Question 4.

What is the difference?

_5__

Answer:

The difference of 8 and 3 = 5.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 3.

8 – 3 = 5.

the difference of 8 and 3 = 5.

### Addition and Subtraction Relationships Game: Add to Subtract Bingo

**Materials**

Play with a partner.

Each player picks or .

1. Mix the addition cards. Each player gets 8 cards. Show your cards faceup.

2. Put the subtraction cards in a pile facedown.

3. Take a subtraction card. Do you have the addition fact that helps you subtract?

4. If so, put the cards together and cover a space with a . If not, you lose a turn.

5. The first player to cover 3 spaces in a row wins.

Answer:

The difference of 8 and 3 = 5.

Explanation:

In the above-given question,

given that,

totally there are 16 cards.

so each player gets 8 cards.

I am picking the subtraction card.

8 – 3 = 5.

### Addition and Subtraction Relationships Vocabulary Game

**Go Fish**

**Materials**

4 sets of word cards

**How to Play**

Play with two other players.

- Mix the cards. Give 5 cards to each player. Put the rest in a pile face-down.
- Ask a player for a word to match a word in your hand.
- If the player has the word, he or she gives the card to you.
- If the player does not have the word, he or she says, “Go fish.” Take a card from the pile.

- Take turns.
- When there are no more word cards in the pile, find all the words matched words in your cards. The player with the most matches wins.

Answer:

The sum of 8 and 3 = 11.

Explanation:

In the above-given question,

given that,

totally there are 10 cards.

so each player gets 85 cards.

I am picking the Addition card.

8 + 3 = 11.

**The Write Way**

**Reflect**

Choose one idea. Draw and write about it.

• Max wants to know if the following is correct

3 + 5 = 6 + 2

Draw and write to tell how you know.

• Tell three things you know about adding and subtracting numbers.

Answer:

The sum of 3 and 5 = 6 and 2.

Explanation:

In the above-given question,

given that,

the numbers are 3 and 5.

the numbers are 6 and 2.

3 + 5 = 8.

6 + 2 = 10.

the sum of 3 and 5 = 6 and 2.

### Lesson 5.1 Problem Solving • Add or Subtract

**Essential Question**

How can making a model help you solve a problem?

There are 16 turtles on the beach. Some swim away. Now there are 9 turtles on the beach. How many turtles swim away?

Answer:

The number of turtles swims away = 7.

Explanation:

In the above-given question,

given that,

There are 16 turtles on the beach.

some swim away.

Now there are 9 turtles on the beach.

16 – 9 = 7.

**Unlock the Problem**

What do I need to find?

What information do I need to use?

Answer:

The number of turtles swims away = 7.

Explanation:

In the above-given question,

given that,

There are 16 turtles on the beach.

some swim away.

Now there are 9 turtles on the beach.

16 – 9 = 7.

Show how to solve the problem.

Answer:

The number of turtles swims away = 7.

Explanation:

In the above-given question,

given that,

There are 16 turtles on the beach.

some swim away.

Now there are 9 turtles on the beach.

16 – 9 = 7.

**HOME CONNECTION**

• Your child made a model to visualize the problem. The model helps your child see what part of the problem to find.

**Try Another Problem**

Make a model to solve. Use to help you.

Question 1.

There are 4 rabbits in the garden. Some more rabbits come. Now there are 12 rabbits. How many rabbits come to the garden?

Answer:

The number of rabbits that come to the garden = 8.

Explanation:

In the above-given question,

given that,

There are 4 rabbits in the garden.

some more rabbits come.

Now there are 12 rabbits.

8 + 4 = 12.

The number of rabbits that come to the garden = 8.

Question 2.

There are 14 birds in a tree. Some birds fly away. There are 9 birds still in the tree. How many birds fly away?

Answer:

The number of birds that fly away = 5.

Explanation:

In the above-given question,

given that,

There are 14 birds in a tree.

some birds fly away.

There are 9 birds still in the tree.

14 – 9 = 5.

The number of birds that fly away = 5.

**Math Talk**

**MATHEMATICAL PRACTICES**

Model Explain how to find the missing number.

**Share and Show MATH BOARD**

Make a model to solve.

Question 3.

There are 20 ducks in the pond. Then 10 ducks swim away. How many ducks are still in the pond?

20 ducks 10 swim away _10_ ducks still in the pond

Answer:

The number of ducks still in the pond = 10.

Explanation:

In the above-given question,

given that,

There are 20 ducks in the pond.

Then 10 ducks swim away.

20 – 10 = 10.

The number of ducks still in the pond = 10.

Question 4.

**THINK SMARTER**

3 eagles land in the trees. Now 12 eagles are in the trees. How many eagles were in the trees to start?

Answer:

The number of eagles was in the trees to start = 9.

Explanation:

In the above-given question,

given that,

3 eagles land in the trees.

now 12 eagles are in the trees.

12 – 3 = 8.

The number of eagles was in the trees to start = 9.

Question 5.

8 squirrels are in the park. Some more squirrels come. Now there are 16 squirrels. How many squirrels come to the park?

Answer:

The number of squirrels that come to the park = 8.

Explanation:

In the above-given question,

given that,

8 squirrels are in the park.

some more squirrels come.

now there are 16 squirrels.

8 + 8 = 16.

The number of squirrels come to the park = 8.

**On Your Own WRITE Math**

**MATHEMATICAL PRACTICE**

**Represent a Problem**

Solve. Draw or write to show your work.

Question 6.

Liz picks 15 flowers. 7 are pink. The rest are yellow. How many are yellow?

_8_ yellow flowers

Answer:

The number of flowers that are yellow = 8.

Explanation:

In the above-given question,

given that,

Liz picks 15 flowers.

7 are pink.

the rest are yellow.

15 – 7 = 8.

The number of flowers that are yellow = 8.

Question 7.

Cindy has 14 sand dollars. She has the same number of large and small sand dollars. Write a number sentence about the sand dollars.

Answer:

The number of small dollars = 7.

Explanation:

In the above-given question,

given that,

Cindy has 14 sand dollars.

she has the same number of large and small dollars.

7 + 7 = 14.

The number of small dollars = 7.

Question 8.

**THINK SMARTER**

Sam has 3 more books than Ed. Sam has 8 books. How many books does Ed have?

_5_ books

Answer:

The number of books Ed has = 5.

Explanation:

In the above-given question,

given that,

Sam has 3 more books than Ed.

Sam has 8 books.

8 – 3 = 5.

The number of books Ed has = 5.

Question 9.

**THINK SMARTER**

There are 7 eggs in a nest. Some eggs hatch. Now there are 5 left. How many eggs hatch?

Answer:

The number of eggs hatch = 2.

Explanation:

In the above-given question,

given that,

There are 7 eggs in a nest.

some eggs hatch.

now there are 5 left.

7 – 5 = 2.

The number of eggs hatch = 2.

**TAKE HOME ACTIVITY**

• Ask your child to look at Exercise 7 and use the number 18 as the total number of sand dollars. Then have your child write a number sentence.

Answer:

The number of small dollars = 9.

Explanation:

In the above-given question,

given that,

Cindy has 18 sand dollars.

she has the same number of large and small dollars.

9 + 9 = 18.

The number of small dollars = 18.

### Problem Solving • Add or Subtract Homework & Practice 5.1

**Add or Subtract**

**Make a model to solve.**

Question 1.

Stan has 12 stickers. Some stickers are new. 4 stickers are old. How many stickers are new?

_8_ new stickers

Answer:

The number of new stickers = 8.

Explanation:

In the above-given question,

given that,

Stan has 12 stickers.

some stickers are new.

4 stickers are old.

12 – 4 = 8.

The number of new stickers = 8.

Question 2.

Liz has 9 toy bears. Then she buys some more. Now she has 15 toy bears. How many toy bears did she buy?

_6_ toy bears

Answer:

The number of toy bears did she buy = 6.

Explanation:

In the above-given question,

given that,

The number of small dollars = 7.

Question 3.

Eric buys 6 books. Now he has 16 books. How many books did he have to start?

_10_ books

Answer:

The number of books did he have to start = 10.

Explanation:

In the above-given question,

given that,

Eric buys 6 books.

Now he has 16 books.

16 – 6 = 10.

The number of books did he have to start = 10.

Question 4.

**WRITE Math**

Write an addition story problem. Have a classmate solve your problem.

**Lesson Check**

**Use the model to solve.**

Question 1.

Arlo has 17 bean bag animals. Some are fuzzy. 9 bean bag animals are not fuzzy. How many animals are fuzzy?

_8_ fuzzy animals

Answer:

The number of animals that are fuzzy = 8.

Explanation:

In the above-given question,

given that,

Arlo has 17 bean bag animals.

Some are fuzzy.

9 bean bag animals are not fuzzy.

17 – 9 = 8.

The number of animals that are fuzzy = 8.

**Spiral Review**

Question 2.

Count back 1, 2, or 3. Write the difference.

_8_ = 11 – 3

Answer:

The difference of 11 and 3 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 11 and 3.

11 – 3 = 8.

the difference of 11 and 3 = 8.

Answer:

The difference of 11 and 2 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 11 and 2.

11 – 2 = 9.

the difference of 11 and 2 = 9.

Answer:

The difference of 11 and 1 = 10.

Explanation:

In the above-given question,

given that,

the numbers are 11 and 1.

11 – 1 = 10.

the difference of 11 and 1 = 10.

Question 3.

Use Color to show how to make ten. Complete the addition sentence.

10 = _5_ + _5_

Answer:

The sum of 5 and 5 = 10.

Explanation:

In the above-given question,

given that,

the numbers are 5 and 5.

5 + 5 = 10.

the sum of 5 and 5 = 10.

### Lesson 5.2 Record Related Facts

**Essential Question**

How do related facts help you find missing numbers?

**Listen and Draw**

Listen to the problem.

Model with or an i Tool. Draw your model. Write the number sentence.

Answer:

The difference of 8 and 3 = 5.

In the above-given question,

given that,

the numbers are 8 and 3.

8 – 3 = 5.

the difference of 8 and 3 = 5.

Answer:

The sum of 8 and 3 = 11.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 3.

8 + 3 = 11.

the sum of 8 and 3 = 11.

**Math Talk**

**Use Tools** Explain how your model helps you write your number sentence.

**Share and Show MATH BOARD**

Question 1.

Answer:

The sum of 8 and 7 = 15.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 7.

8 + 7 = 15.

the sum of 8 and 7 = 15.

Answer:

The difference of 15 and 7 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 15 and 7.

15 – 7 = 8.

the difference of 15 and 7 = 8.

Question 2.

Answer:

The sum of 5 and 9 = 14.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 5.

9 + 5 = 14.

the sum of 5 and 9 = 14.

Answer:

The difference of 14 and 9 = 5.

Explanation:

In the above-given question,

given that,

the numbers are 14 and 9.

14 – 9 = 5.

the difference of 14 and 9 = 5.

Question 3.

Answer:

The sum of 7 and 6 = 13.

Explanation:

In the above-given question,

given that,

the numbers are 7 and 6.

7 + 6 = 13.

the sum of 7 and 6 = 13.

Answer:

The difference of 13 and 6 = 7.

Explanation:

In the above-given question,

given that,

the numbers are 13 and 6.

13 – 6 = 7.

the difference of 13 and 6 = 7.

**On Your Own**

**MATHEMATICAL PRACTICE**

**Analyze Relationships**

Use Add or subtract. Complete the related facts.

Question 4.

Answer:

The sum of 5 and 8 = 13.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 5.

8 + 5 = 13.

the sum of 5 and 8 = 13.

Answer:

The difference of 13 and 5 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 13 and 5.

13 – 5 = 8.

the difference of 13 and 5 = 8.

Question 5.

Answer:

The sum of 8 and 9 = 17.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 8.

9 + 8 = 17.

the sum of 8 and 9 = 17.

Answer:

The difference of 17 and 8 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 17 and 8.

17 – 8 = 9.

the difference of 17 and 8 = 9.

Question 6.

Answer:

The sum of 6 and 9 = 15.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 6.

9 + 6 = 15.

the sum of 6 and 9 = 15.

Answer:

The difference of 15 and 6 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 15 and 6.

15 – 6 = 9.

the difference of 15 and 6 = 9.

Question 7.

**THINK SMARTER**

Circle the number sentence that has a mistake. Correct it to complete the related facts.

7 + 9 = 16

16 + 9 = 7

9 + 7 = 16

16 – 7 =9

Answer:

The number sentence that has a mistake is 16 + 9 = 7.

Answer:

In the above-given question,

given that,

the number of sentences that are correct.

7 + 9 = 16.

9 + 7 = 16.

16 – 7 = 9.

16 – 9 = 7.

The number sentence that has a mistake is 16 + 9 = 7.

**Problem Solving • Applications**

Question 8.

**GO DEEPER**

Choose three numbers to make related facts. Choose numbers between 0 and 18. Write your numbers. Write the related facts.

Answer:

The number sentence that has a mistake is 16 + 9 = 7.

Answer:

In the above-given question,

given that,

the number of sentences that are correct.

7 + 9 = 16.

9 + 7 = 16.

16 – 7 = 9.

16 – 9 = 7.

The number sentence that has a mistake is 16 + 9 = 7.

Question 9.

**THINK SMARTER**

Which fact is a related fact?

Answer:

The related fact = 9 – 6 = 3.

Explanation:

In the above-given question,

given that,

the numbers are 6 + 3 = 9.

3 + 6 = 9.

9 – 3 = 6.

The related fact is 9 – 6 = 3.

**TAKE HOME ACTIVITY**

• Write an addition fact. Ask your child to write three other related facts.

### Record Related Facts Homework & Practice 5.2

Use Add or subtract. Complete the related facts.

Question 1.

Answer:

The sum of 8 and 4 = 12.

Explanation:

In the above-given question,

given that,

the numbers are 4 and 8.

4 + 8 = 12.

the sum of 8 and 4 = 12.

Answer:

The difference of 12 and 8 = 4.

Explanation:

In the above-given question,

given that,

the numbers are 12 and 8.

12 – 8 = 4.

the difference of 12 and 8 = 4.

Question 2.

Answer:

The sum of 5 and 4 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 5 and 4.

5 + 4 = 9.

the sum of 5 and 4 = 9.

Answer:

The difference of 9 and 4 = 5.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 5.

9 – 5 = 4.

the difference of 9 and 4 = 5.

**Problem Solving**

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

Question 3.

There are 16 apples on the tree. No apples fall off. How many apples are still on the tree?

Answer:

The number of apples still on the tree = 16.

Explanation:

In the above-given question,

given that,

There are 16 apples on the tree.

no apples fall off.

The number of apples still on the tree = 16.

Question 4.

Math Write four related facts. Use pictures to show how the number sentences are related.

__________________

__________________

Answer:

The sum of 5 and 4 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 5 and 4.

5 + 4 = 9.

the sum of 5 and 4 = 9.

Answer:

The difference of 9 and 4 = 5.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 5.

9 – 5 = 4.

the difference of 9 and 4 = 5.

**Lesson Check**

Question 1.

Write a related fact.

Answer:

The sum of 7 and 4 = 11.

Explanation:

In the above-given question,

given that,

the numbers are 7 and 4.

7 + 4 = 11.

the sum of 7 and 4 = 11.

Answer:

The difference of 11 and 7 = 4.

Explanation:

In the above-given question,

given that,

the numbers are 11 and 7.

11 – 7 = 4.

the difference of 11 and 7 = 4.

**Spiral Review**

Question 2.

Complete the subtraction sentence.

6 – 6 = _0_

Answer:

The difference of 6 and 6 = 0.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 6.

6 – 6 = 0.

the difference of 6 and 6 = 0.

Question 3.

Write an addition sentence that helps you solve 15 − 9

_6_ + _9_ = _15_

Answer:

The difference of 15 and 9 = 6.

Explanation:

In the above-given question,

given that,

the numbers are 15 and 9.

15 – 9 = 6.

the difference of 15 and 9 = 6.

### Lesson 5.3 Identify Related Facts

**Essential Question**

How do you know if addition and subtraction facts are related?

**Listen and Draw**

Use to show 4 + 9 = 13.

Draw to show a related subtraction fact.

Write the subtraction sentence.

Answer:

The difference of 9 and 13 = 4.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 13.

13 – 9 = 4.

the difference of 13 and 9 = 4.

**Math Talk**

**MATHEMATICAL PRACTICES**

Look for Structure Why is your subtraction sentence related to 4 + 9 = 13?

Answer:

The difference of 9 and 13 = 4.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 13.

13 – 9 = 4.

the difference of 13 and 9 = 4.

**Share and Show MATH BOARD**

Add and subtract.

Circle the related facts

Question 1.

6 + 4 = _10_

10 – 4 =_6_

Answer:

The sum of 6 and 4 = 10.

Explanation:

In the above-given question,

given that,

the numbers are 4 and 6.

4 + 6 = 10.

the sum of 6 and 4 = 10.

Answer:

The difference of 10 and 4 = 6.

Explanation:

In the above-given question,

given that,

the numbers are 10 and 4.

10 – 4 = 6.

the difference of 10 and 4 = 6.

Question 2.

_17_ = 9 + 8

_9_ = 17 – 8

Answer:

The sum of 8 and 9 = 17.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 8.

9 + 8 = 17.

the sum of 8 and 9 = 17.

Answer:

The difference of 17 and 8 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 17 and 8.

17 – 8 = 9.

the difference of 17 and 8 = 9.

Question 3.

9 + 5 = _14_

9 – 5 = _4_

Answer:

The sum of 9 and 5 = 14.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 5.

9 + 5 = 14.

the sum of 9 and 5 = 14.

Answer:

The difference of 9 and 5 = 4.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 5.

9 – 5 = 4.

the difference of 9 and 5 = 4.

Question 4.

8 + 7 = _15_

15 – 7 = _8_

Answer:

The sum of 8 and 7 = 15.

Explanation:

In the above-given question,

given that,

the numbers are 7 and 8.

7 + 8 = 15.

the sum of 8 and 7 = 15.

Answer:

The difference of 15 and 7 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 15 and 7.

15 – 7 = 8.

the difference of 15 and 7 = 8.

Question 5.

_11_ = 9 + 2

_7_ = 9 – 2

Answer:

The sum of 9 and 2 = 11.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 2.

9 + 2 = 11.

the sum of 9 and 2 = 11.

Answer:

The difference of 9 and 2 = 7.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 2.

9 – 2 = 7.

the difference of 9 and 2 = 7.

Question 6.

6 + 3 = _9_

12 – 3 = _9_

Answer:

The sum of 6 and 3 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 3.

6 + 3 = 9.

the sum of 6 and 3 = 9.

Answer:

The difference of 12 and 3 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 12 and 3.

12 – 3 = 9.

the difference of 12 and 3 = 9.

Question 7.

4 + 8 = _12_

12 – 8 = _4_

Answer:

The sum of 8 and 4 = 12.

Explanation:

In the above-given question,

given that,

the numbers are 4 and 8.

4 + 8 = 12.

the sum of 8 and 4 = 12.

Answer:

The difference of 12 and 8 = 4.

Explanation:

In the above-given question,

given that,

the numbers are 12 and 8.

12 – 8 = 4.

the difference of 12 and 8 = 4.

Question 8.

_13_ = 7 + 6

_7_ = 13 – 6

Answer:

The sum of 7 and 6 = 13.

Explanation:

In the above-given question,

given that,

the numbers are 7 and 6.

7 + 6 = 13.

the sum of 7 and 6 = 13.

Answer:

The difference of 13 and 6 = 7.

Explanation:

In the above-given question,

given that,

the numbers are 13 and 6.

13 – 6 = 7.

the difference of 13 and 6 = 7.

Question 9.

9 + 9 = _18_

18 – 9 = _9_

Answer:

The sum of 9 and 9 = 18.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 9.

9 + 9 = 18.

the sum of 9 and 9 = 18.

Answer:

The difference of 18 and 9 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 18 and 9.

18 – 9 = 9.

the difference of 18 and 9 = 9.

**On Your Own**

Question 10.

**MATHEMATICAL PRACTICE**

**Identify Relationships** Add and subtract. Color the leaves that have related facts.

Answer:

The sum of 8 and 4 = 12.

Explanation:

In the above-given question,

given that,

the numbers are 4 and 8.

4 + 8 = 12.

the sum of 8 and 4 = 12.

Answer:

The difference of 8 and 4 = 4.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 4.

8 – 4 = 4.

the difference of 8 and 4 = 4.

Answer:

The sum of 8 and 9 = 17.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 8.

9 + 8 = 17.

the sum of 8 and 9 = 17.

Answer:

The difference of 17 and 8 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 17 and 8.

17 – 8 = 9.

the difference of 17 and 8 = 9.

Answer:

The sum of 10 and 10 = 20.

Explanation:

In the above-given question,

given that,

the numbers are 10 and 10.

10 + 10 = 20.

the sum of 10 and 10 = 20.

Answer:

The difference of 20 and 10 = 10.

Explanation:

In the above-given question,

given that,

the numbers are 20 and 10.

20 – 10 = 10.

the difference of 20 and 10 = 10.

Answer:

The sum of 9 and 4 = 13.

Explanation:

In the above-given question,

given that,

the numbers are 4 and 9.

4 + 9 = 13.

the sum of 9 and 4 = 13.

Answer:

The difference of 13 and 4 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 13 and 4.

13 – 4 = 8.

the difference of 13 and 4 = 8.

**Problem Solving • Applications WRITE Math**

**GO DEEPER**

Use the numbers to write related addition and subtraction sentences.

Question 11.

Answer:

The sum of 5 and 4 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 4 and 5.

4 + 5 = 9.

the sum of 5 and 4 = 9.

Answer:

The difference of 9 and 5 = 4.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 5.

9 – 5 = 4.

the difference of 9 and 5 = 4.

Question 12.

Answer:

The sum of 5 and 7 = 12.

Explanation:

In the above-given question,

given that,

the numbers are 5 and 7.

5 + 7 = 12.

the sum of 5 and 7 = 12.

Answer:

The difference of 12 and 7 = 5.

Explanation:

In the above-given question,

given that,

the numbers are 12 and 7.

12 – 7 = 5.

the difference of 12 and 7 = 5.

Question 13.

Answer:

The sum of 8 and 5 = 13.

Explanation:

In the above-given question,

given that,

the numbers are 5 and 8.

5 + 8 = 13.

the sum of 8 and 5 = 13.

Answer:

The difference of 13 and 8 = 5.

Explanation:

In the above-given question,

given that,

the numbers are 13 and 8.

13 – 8 = 5.

the difference of 13 and 8 = 5.

Question 14.

**THINK SMARTER**

Which number cannot be used to write related number sentences? Explain.

Question 15.

**THINK SMARTER**

Look at the facts. Are they related facts? Choose Yes or No.

Answer:

Yes, they are related facts.

Answer:

In the above-given question,

given that,

the numbers are 13 – 8 = 5.

5 + 8 = 13.

Yes, they are related facts.

**TAKE HOME ACTIVITY**

• Write 7, 9, 16, +, −, and = on separate slips of paper. Have your child use the slips of paper to show related facts.

Answer:

The sum of 7 and 9 = 16.

Explanation:

In the above-given question,

given that,

the numbers are 7 and 9.

7 + 9 = 16.

the sum of 7 and 9 = 16.

Answer:

The difference of 16 and 9 = 7.

Explanation:

In the above-given question,

given that,

the numbers are 16 and 9.

16 – 9 = 7.

the difference of 16 and 9 = 7.

### Identify Related Facts Homework & Practice 5.3

**Add and subtract.**

**Circle the related facts.**

Question 1.

5 + 6 = _11_

11 – 6 = _5_

Answer:

The sum of 6 and 5 = 11.

Explanation:

In the above-given question,

given that,

the numbers are 5 and 6.

5 + 6 = 11.

the sum of 6 and 5 = 11.

Answer:

The difference of 11 and 6 = 5.

Explanation:

In the above-given question,

given that,

the numbers are 11 and 6.

11 – 6 = 5.

the difference of 11 and 6 = 5.

Question 2.

4 + 9 = _13_

9 – 4 = _5_

Answer:

The sum of 4 and 9 = 13.

Explanation:

In the above-given question,

given that,

the numbers are 4 and 9.

4 + 9 = 13.

the sum of 4 and 9 = 13.

Answer:

The difference of 9 and 4 = 5.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 4.

9 – 4 = 5.

the difference of 9 and 4 = 5.

Question 3.

4 + 7 = _11_

11 – 7 = _4_

Answer:

The sum of 7 and 4 = 11.

Explanation:

In the above-given question,

given that,

the numbers are 7 and 4.

7 + 4 = 11.

the sum of 7 and 4 = 11.

Answer:

The difference of 11 and 7 = 4.

Explanation:

In the above-given question,

given that,

the numbers are 11 and 7.

11 – 7 = 4.

the difference of 11 and 7 = 4.

Question 4.

9 + 8 = _17_

17 – 8 = _9_

Answer:

The sum of 8 and 9 = 17.

In the above-given question,

given that,

the numbers are 9 and 8.

9 + 8 = 17.

the sum of 8 and 9 = 17.

Answer:

The difference of 17 and 8 = 9.

In the above-given question,

given that,

the numbers are 17 and 8.

17 – 8 = 9.

the difference of 17 and 8 = 9.

Question 5.

5 + 7 = _12_

7 – 5 = _2_

Answer:

The sum of 7 and 5 = 12.

Explanation:

In the above-given question,

given that,

the numbers are 5 and 7.

5 + 7 = 12.

the sum of 7 and 5 = 12.

Answer:

The difference of 7 and 5 = 2.

Explanation:

In the above-given question,

given that,

the numbers are 7 and 5.

7 – 5 = 2.

the difference of 7 and 5 = 2.

Question 6.

6 + 8 = _14_

14 – 8 = _6_

Answer:

The sum of 8 and 6 = 14.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 8.

6 + 8 = 14.

the sum of 8 and 6 = 14.

Answer:

The difference of 14 and 8 = 6.

Explanation:

In the above-given question,

given that,

the numbers are 14 and 8.

14 – 8 = 6.

the difference of 14 and 8 = 6.

**Problem Solving**

Question 7.

Use the numbers to write related addition and subtraction sentences.

Answer:

The sum of 8 and 7 = 15.

Explanation:

In the above-given question,

given that,

the numbers are 7 and 8.

7 + 8 = 15.

the sum of 8 and 7 = 15.

Answer:

The difference of 15 and 8 = 7.

Explanation:

In the above-given question,

given that,

the numbers are 15 and 8.

15 – 8 = 7.

the difference of 15 and 8 = 7.

Question 8.

**WRITE Math**

Use numbers and pictures to show related facts with the numbers 7, 9, and 16.

Answer:

The sum of 7 and 9 = 16.

Explanation:

In the above-given question,

given that,

the numbers are 7 and 9.

7 + 9 = 16.

the sum of 7 and 9 = 16.

Answer:

The difference of 16 and 9 = 7.

Explanation:

In the above-given question,

given that,

the numbers are 16 and 9.

16 – 9 = 7.

the difference of 16 and 9 = 7.

**Lesson Check**

Question 1.

Write a related fact for 7 + 6 = 13.

Answer:

The difference of 13 and 6 = 7.

Explanation:

In the above-given question,

given that,

the numbers are 13 and 6.

13 – 6 = 7.

the difference of 13 and 6 = 7.

**Spiral Review**

Question 2.

Draw lines to match. Subtract to compare. How many fewer than are there?

Answer:

The number of fewer leaves = 1.

Explanation:

In the above-given question,

given that,

There are 8 penguins.

7 leaves.

8 – 7 = 1.

The number of fewer leaves = 1.

Question 3.

Use doubles to help you add 7 + 8.

Answer:

The sum of 8 and 7 = 15.

Explanation:

In the above-given question,

given that,

the numbers are 7 and 8.

7 + 8 = 15.

the sum of 8 and 7 = 15.

### 5.4 Use Addition to Check Subtraction

**Essential Question**

How can you use addition to check subtraction?

**Listen and Draw**

Draw and write to solve the problem.

Answer:

The sum of 8 and 7 = 15.

In the above-given question,

given that,

the numbers are 7 and 8.

7 + 8 = 15.

the sum of 8 and 7 = 15.

Answer:

The difference of 15 and 7 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 15 and 7.

15 – 7 = 8.

the difference of 15 and 7 = 8.

**Math Talk**

**MATHEMATICAL PRACTICES**

Look for Structure Does Erin get all her books back? Use the number sentences to explain how you know.

**Share and Show MATH BOARD**

Subtract. Then add to check your answer.

Question 1.

Answer:

The difference of 13 and 7 = 6.

Explanation:

In the above-given question,

given that,

the numbers are 13 and 7.

13 – 7 = 6.

the difference of 13 and 7 = 6.

Answer:

The sum of 6 and 7 = 13.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 7.

6 + 7 = 13.

the sum of 6 and 7 = 13.

Question 2.

Answer:

The difference of 14 and 5 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 14 and 5.

14 – 5 = 9.

the difference of 14 and 5 = 9.

Answer:

The sum of 9 and 5 = 14.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 5.

9 + 5 = 14.

the sum of 9 and 5 = 14.

Question 3.

Answer:

The difference of 12 and 5 = 7.

Explanation:

In the above-given question,

given that,

the numbers are 12 and 5.

12 – 5 = 7.

the difference of 12 and 5 = 7.

Answer:

The sum of 5 and 7 = 12.

Explanation:

In the above-given question,

given that,

the numbers are 5 and 7.

5 + 7 = 12.

the sum of 5 and 7 = 12.

Question 4.

Answer:

The difference of 17 and 9 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 17 and 9.

17 – 9 = 8.

the difference of 17 and 9 = 8.

Answer:

The sum of 8 and 9 = 17.

In the above-given question,

given that,

the numbers are 9 and 8.

9 + 8 = 17.

the sum of 8 and 9 = 17.

**On Your Own**

**MATHEMATICAL PRACTICE**

Look for Structure Subtract. Then add to check your answer.

Question 5.

Answer:

The difference of 11 and 3 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 11 and 3.

11 – 3 = 8.

the difference of 11 and 3 = 8.

Answer:

The sum of 8 and 3 = 11.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 3.

8 + 3 = 11.

the sum of 8 and 3 = 11.

Question 6.

Answer:

The difference of 13 and 9 = 7.

Explanation:

In the above-given question,

given that,

the numbers are 13 and 9.

13 – 9 = 7.

the difference of 13 and 9 = 7.

Answer:

The sum of 9 and 7 = 13.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 7.

9 + 7 = 13.

the sum of 9 and 7 = 13.

Question 7.

**THINK SMARTER**

Brianna has 13 sand dollars. Some sand dollars are broken. 5 sand dollars are not broken. Write number sentences about the sand dollars.

Answer:

The number of sand dollars is not broken = 8.

Explanation:

In the above-given question,

given that,

Brianna has 13 sand dollars.

some sand dollars are broken.

5 sand dollars are not broken.

13 – 5 = 8.

The number of sand dollars is not broken = 8.

Question 8.

**GO DEEPER**

Subtract to solve. Then add to check your answer.

Liam took 15 balloons to the party. All but 6 of the balloons were red. How many balloons were red?

_6_ red balloons

Answer:

The number of red balloons = 6.

Explanation:

In the above-given question,

given that,

Liam took 15 balloons to the party.

All but 6 of the balloons were red.

15 – 6 = 8.

The number of red balloons = 6.

**TAKE HOME ACTIVITY**

• Write 11 − 7 = ☐ on a sheet of paper. Ask your child to find the difference and then write an addition sentence he or she can use to check the subtraction.

Answer:

The difference of 11 and 7 = 4.

Explanation:

In the above-given question,

given that,

the numbers are 11 and 7.

11 – 7 = 4.

the difference of 11 and 7 = 4.

Answer:

The sum of 7 and 4 = 11.

Explanation:

In the above-given question,

given that,

the numbers are 7 and 4.

7 + 4 = 11.

the sum of 7 and 4 = 11.

### Use Addition to Check Subtraction Homework & practice 5.4

Subtract. Then add to check your answer.

Question 1.

Answer:

The difference of 12 and 4 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 12 and 4.

12 – 4 = 8.

the difference of 12 and 4 = 8.

Answer:

The sum of 8 and 4 = 12.

In the above-given question,

given that,

the numbers are 4 and 8.

4 + 8 = 12.

the sum of 8 and 4 = 12.

Question 2.

Answer:

The difference of 15 and 9 = 6.

Explanation:

In the above-given question,

given that,

the numbers are 15 and 9.

15 – 9 = 6.

the difference of 15 and 9 = 6.

Answer:

The sum of 6 and 9 = 15.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 6.

9 + 6 = 15.

the sum of 6 and 9 = 15.

**Problem Solving**

Subtract.

Then add to check your answer.

Question 3.

There are 13 grapes in a bowl. Justin ate some of them. Now there are only 7 grapes left. How many grapes did Justin eat?

_13_ – _7_ = _6_

_13_ – _6_ = _7_

_6_ grapes

Answer:

The number of grapes Justin eats = 6.

Explanation:

In the above-given question,

given that,

There are 13 grapes in a bowl.

Justin ate some of them.

Now there are only 7 grapes left.

13 – 7 = 6.

The number of grapes Justin eats = 6.

Question 4.

**WRITE Math**

Find 12 – 9. Then write or draw how you can add to check your answer.

Answer:

The difference of 12 and 9 = 3.

Explanation:

In the above-given question,

given that,

the numbers are 12 and 9.

12 – 9 = 3.

the difference of 12 and 9 = 3.

Answer:

The sum of 9 and 3 = 11.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 3.

9 + 3 = 11.

the sum of 9 and 3 = 11.

**Lesson Check**

Question 1.

Subtract. Then add to check your answer.

11 – 3 = ☐

_8_ + _3_ = _11__

Answer:

The difference of 11 and 3 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 11 and 3.

11 – 3 = 8.

the difference of 11 and 3 = 8.

Answer:

The sum of 8 and 3 = 11.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 3.

8 + 3 = 11.

the sum of 8 and 3 = 11.

Question 2.

Subtract. Then add to check your answer.

12 – 8 = ☐

_8_ + _4_ = __12_

Answer:

The difference of 12 and 8 = 4.

Explanation:

In the above-given question,

given that,

the numbers are 12 and 8.

12 – 8 = 4.

the difference of 12 and 8 = 4.

Answer:

The sum of 8 and 4 = 12.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 4.

8 + 4 = 12.

the sum of 8 and 4 = 12.

**Spiral Review**

Question 3.

Jonas picks 10 peaches. 4 peaches are small. The rest are big. How many are big?

_6_ big peaches

Answer:

The number of big peaches = 6.

Explanation:

In the above-given question,

given that,

Jonas picks 10 peaches.

4 peaches are small.

The number of big peaches = 6.

Question 4.

Circle two addends to add first. Write the sum.

__________

__________

Answer:

The sum of 6 and 4 = 10.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 4.

3 + 3 + 4 = 10.

the sum of 6 and 4 = 10.

### Addition and Subtraction Relationships Mid-Chapter Checkpoint

Use . Add or subtract.

Complete the related facts.

Question 1.

Answer:

The sum of 6 and 8 = 14.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 8.

6 + 8 = 14.

the sum of 6 and 8 = 14.

Answer:

The difference of 14 and 8 = 6.

Explanation:

In the above-given question,

given that,

the numbers are 14 and 8.

14 – 8 = 6.

the difference of 14 and 8 = 6.

Question 2.

Answer:

The sum of 7 and 6 = 11.

Explanation:

In the above-given question,

given that,

the numbers are 7 and 6.

7 + 6 = 11.

the sum of 7 and 6 = 11.

Answer:

The difference of 11 and 6 = 7.

Explanation:

In the above-given question,

given that,

the numbers are 11 and 6.

11 – 6 = 7.

the difference of 11 and 6 = 7.

Add and subtract. Circle the related facts.

Question 3.

9 + 3 = _12_

9 – 3 = _6_

Answer:

The sum of 9 and 3 = 12.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 3.

9 + 3 = 12.

the sum of 9 and 3 = 12.

Answer:

The difference of 9 and 3 = 6.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 3.

9 – 3 = 6.

the difference of 9 and 3 = 6.

Question 4.

7 + 8 = _15_

15 – 8 = _7_

Answer:

The sum of 7 and 8 = 15.

Explanation:

In the above-given question,

given that,

the numbers are 7 and 8.

7 + 8 = 15.

the sum of 7 and 8 = 15.

Answer:

The difference of 15 and 8 = 7.

Explanation:

In the above-given question,

given that,

the numbers are 15 and 8.

15 – 8 = 7.

the difference of 15 and 8 = 7.

Question 5.

_11_ = 6 + 5

_1_ = 6 – 5

Answer:

The sum of 6 and 5 = 11.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 5.

6 + 5 = 11.

the sum of 6 and 5 = 11.

Answer:

The difference of 6 and 5 = 1.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 5.

6 – 5 = 1.

the difference of 6 and 5 = 1.

Question 6.

**THINK SMARTER**

Complete the subtraction. Then write an addition sentence to check the subtraction.

Answer:

The difference of 11 and 2 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 11 and 2.

11 – 2 = 9.

the difference of 11 and 2 = 9.

### Lesson 5.5 Algebra • Unknown Numbers

**Essential Question**

How can you use a related fact to find an unknown number?

Listen to the problem. Use to show the story. Draw to show your work

Answer:

The difference of 6 and 5 = 1.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 5.

6 – 5 = 1.

the difference of 6 and 5 = 1.

**Math Talk**

**MATHEMATICAL PRACTICES**

Describe How many toy cars are blue? Explain how you got your answer

**Share and Show MATH BOARD**

Use to find the unknown numbers. Write the numbers.

Question 1.

8 + ☐ = 15

15 – 8 = ☐

Answer:

The sum of 8 and 7 = 15.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 7.

8 + 7 = 15.

the sum of 8 and 7 = 15.

Answer:

The difference of 15 and 8 = 7.

Explanation:

In the above-given question,

given that,

the numbers are 15 and 8.

15 – 8 = 7.

the difference of 15 and 8 = 7.

Question 2.

13 = 9 + ☐

☐ = 13 – 9

Answer:

The sum of 9 and 4 = 13.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 4.

9 + 4 = 13.

the sum of 9 and 4 = 13.

Answer:

The difference of 13 and 9 = 4.

Explanation:

In the above-given question,

given that,

the numbers are 13 and 9.

13 – 9 = 4.

the difference of 13 and 9 = 4.

Question 3.

5 + ☐ = 14

14 – 5 = ☐

Answer:

The sum of 5 and 9 = 14.

Explanation:

In the above-given question,

given that,

the numbers are 5 and 9.

5 + 9 = 14.

the sum of 5 and 9 = 14.

Answer:

The difference of 14 and 5 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 14 and 5.

14 – 5 = 9.

the difference of 14 and 5 = 9.

Question 4.

14 = 6 + ☐

☐ = 14 – 6

Answer:

The sum of 6 and 9 = 14.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 9.

6 + 9 = 14.

the sum of 6 and 9 = 14.

Answer:

The difference of 14 and 6 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 14 and 6.

14 – 6 = 9.

the difference of 14 and 6 = 9.

Question 5.

9 + ☐ = 16

16 – 9 = ☐

Answer:

The sum of 9 and 7 = 16.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 7.

9 + 7 = 16.

the sum of 9 and 7 = 16.

Answer:

The difference of 16 and 9 = 7.

Explanation:

In the above-given question,

given that,

the numbers are 16 and 9.

16 – 9 = 7.

the difference of 16 and 9 = 7.

Question 6.

17 = 8 + ☐

☐ = 17 – 8

Answer:

The sum of 8 and 9 = 17.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 9.

8 + 9 = 17.

the sum of 8 and 9 = 17.

Answer:

The difference of 17 and 8 = 9.

In the above-given question,

given that,

the numbers are 17 and 8.

17 – 8 = 9.

the difference of 17 and 8 = 9.

**On Your Own**

**MATHEMATICAL PRACTICE**

Identify Relationships Write the unknown numbers. Use if you need to.

Question 7.

7 + ☐ = 15

15 – 7 = ☐

Answer:

The sum of 8 and 7 = 15.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 7.

8 + 7 = 15.

the sum of 8 and 7 = 15.

Answer:

The difference of 15 and 7 = 8.

In the above-given question,

given that,

the numbers are 15 and 7.

15 – 7 = 8.

the difference of 15 and 7 = 8.

Question 8.

5 + ☐ = 11

11 – 5 = ☐

Answer:

The sum of 5 and 6 = 11.

Explanation:

In the above-given question,

given that,

the numbers are 5 and 6.

5 + 6 = 11.

the sum of 5 and 6 = 11.

Answer:

The difference of 11 and 5 = 6.

Explanation:

In the above-given question,

given that,

the numbers are 11 and 5.

11 – 5 = 6.

the difference of 11 and 5 = 6.

Question 9.

☐ + 10 = 20

20 – 10 = ☐

Answer:

The sum of 10 and 10 = 20.

Explanation:

In the above-given question,

given that,

the numbers are 10 and 10.

10 + 10 = 20.

the sum of 10 and 10 = 20.

Answer:

The difference of 20 and 10 = 10.

Explanation:

In the above-given question,

given that,

the numbers are 20 and 10.

20 – 10 = 10.

the difference of 20 and 10 = 10.

Question 10.

☐ + 9 = 16

16 – 9 = ☐

Answer:

The sum of 9 and 7 = 16.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 7.

9 + 7 = 16.

the sum of 9 and 7 = 16.

Answer:

The difference of 16 and 9 = 7.

In the above-given question,

given that,

the numbers are 16 and 9.

16 – 9 = 7.

the difference of 16 and 9 = 7.

Question 11.

☐ = 9 + 9

9 = ☐ – 9

Answer:

The sum of 9 and 9 = 18.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 9.

9 + 9 = 18.

the sum of 9 and 9 = 18.

Answer:

The difference of 18 and 9 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 18 and 9.

18 – 9 = 9.

the difference of 18 and 9 = 9.

Question 12.

☐ = 5 + 8

5 = ☐ – 8

Answer:

The sum of 5 and 8 = 13.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 5.

8 + 5 = 13.

the sum of 8 and 5 = 13.

Answer:

The difference of 8 and 5 = 3.

Explanation:

In the above-given question,

given that,

the numbers are 5 and 8.

8 – 5 = 3.

the difference of 8 and 5 = 3.

Question 13.

**THINK SMARTER**

Solve. Rick has 10 party hats. He needs 19 hats for his party. How many more party hats does Rick need?

_9_ party hats

Answer:

The number of party hats Rick needs = 9.

Explanation:

In the above-given question,

given that,

Rick has 10 party hats.

He needs 19 hats for his party.

19 – 10 = 9.

The number of party hats Rick needs = 9.

**Problem Solving • Applications WRITE Math**

Use cubes or draw a picture to solve.

Question 14.

Todd has 12 bunnies. He gives 4 bunnies to his sister. How many bunnies does Todd have now?

_8_ bunnies

Answer:

The number of bunnies does Todd has = 8.

Explanation:

In the above-given question,

given that,

Todd has 12 bunnies.

He gives 4 bunnies to his sister.

12 – 4 = 8.

The number of bunnies does Todd has = 8.

Question 15.

Brad has 11 trucks. Some are small trucks. 4 are big trucks. How many small trucks does he have?

_7_ small trucks

Answer:

The number of small trucks = 7.

Explanation:

In the above-given question,

given that,

Brad has 11 trucks.

Some are small trucks.

4 are big trucks.

11 – 4 = 7.

The number of small trucks = 7.

Question 16.

**GO DEEPER**

There are 15 children at the park. 6 of the children go home. Then 4 more children come to the park. How many children are in

the park now?

_13_ children

Answer:

The number of children is in the park = 13.

Explanation:

In the above-given question,

given that,

There are 15 children at the park.

6 of the children go home.

Then 4 more children come to the park.

15 – 6 + 4.

9 + 4 = 13.

The number of children is in the park = 13.

Question 17.

**THINK SMARTER**

Use to find the unknown numbers. Write the numbers.

9 + _8_ = 17

17 – 9 = _8_

Answer:

The sum of 9 and 8 = 17.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 8.

9 + 8 = 17.

the sum of 9 and 8 = 17.

Answer:

The difference of 17 and 9 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 17 and 9.

17 – 9 = 8.

the difference of 17 and 9 = 8.

**TAKE HOME ACTIVITY**

• Have your child explain how using subtraction can help him or her find the unknown number in 7 + ☐ = 16.

Answer:

The sum of 7 and 9 = 16.

Explanation:

In the above-given question,

given that,

the numbers are 7 and 9.

7 + 9 = 16.

the sum of 7 and 9 = 16.

Answer:

The difference of 16 and 9 = 7.

In the above-given question,

given that,

the numbers are 16 and 9.

16 – 9 = 7.

the difference of 16 and 9 = 7.

### Algebra • Unknown Numbers Homework & Practice 5.5

Write the missing numbers. Use if you need to.

Question 1.

6 + ☐ = 13

13 – 6 = ☐

Answer:

The sum of 6 and 7 = 13.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 7.

6 + 7 = 13.

the sum of 6 and 7 = 13.

Answer:

The difference of 13 and 6 = 7.

In the above-given question,

given that,

the numbers are 13 and 6.

13 – 6 = 7.

the difference of 13 and 6 = 7.

Question 2.

9 + ☐ = 14

14 – 9 = ☐

Answer:

The sum of 9 and 5 = 14.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 5.

9 + 5 = 14.

the sum of 9 and 5 = 14.

Answer:

The difference of 14 and 9 = 5.

Explanation:

In the above-given question,

given that,

the numbers are 14 and 9.

14 – 9 = 5.

the difference of 14 and 9 = 5.

Question 3.

☐ + 7 = 15

15 – 7 = ☐

Answer:

The sum of 7 and 8 = 15.

In the above-given question,

given that,

the numbers are 8 and 7.

8 + 7 = 15.

the sum of 8 and 7 = 15.

Answer:

The difference of 15 and 7 = 8.

In the above-given question,

given that,

the numbers are 15 and 7.

15 – 7 = 8.

the difference of 15 and 7 = 8.

Question 4.

☐ = 8 + 8

8 = ☐ – 8

Answer:

The sum of 8 and 8 = 16.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 8.

8 + 8 = 16.

the sum of 8 and 8 = 16.

Answer:

The difference of 16 and 8 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 16 and 8.

16 – 8 = 8.

the difference of 8 and 8 = 16.

**Problem Solving**

Use cubes or draw a picture to solve.

Question 5.

Sally has 9 toy trucks. She gets 3 more toy trucks. How many toy trucks does she have now?

_12_ toy trucks

Answer:

The number of trucks she has now = 12.

Explanation:

In the above-given question,

given that,

Sally has 9 toy trucks.

She gets 3 more toy trucks.

9 + 3 = 12.

The number of trucks she has now = 12.

Question 6.

**WRITE Math**

Use words, pictures, or numbers to show how to find the unknown numbers for 8 + _9_ = 17 and 17 – 8 = _9_.

Answer:

The sum of 9 and 8 = 17.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 9.

8 + 9 = 17.

the sum of 8 and 9 = 17.

Answer:

The difference of 17 and 8 = 9.

In the above-given question,

given that,

the numbers are 17 and 8.

17 – 8 = 9.

the difference of 17 and 8 = 9.

**Lesson Check**

Question 1.

Write the unknown number.

9 + ☐ = 16

Answer:

The sum of 9 and 7 = 16.

In the above-given question,

given that,

the numbers are 7 and 9.

7 + 9 = 16.

the sum of 7 and 9 = 16.

**Spiral Review**

Question 2.

What is 14 − 6?

Answer:

The difference of 14 and 6 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 14 and 6.

14 – 6 = 8.

the difference of 14 and 6 = 8.

Question 3.

Draw circles to show the number. Write the sum. 0 + 8

0 + 8 = _8_

Answer:

The sum of 0 and 8 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 0 and 8.

0 + 8 = 8.

the sum of 0 and 8 = 8.

### Lesson 5.6 Algebra • Use Related Facts

**Essential Question**

How can you use a related fact to find an unknown number?

**Listen and Draw**

What number can you add to 8 to get 10? Draw a picture to solve. Write the unknown number.

8 + ☐ = 10

Answer:

The number is 2.

Explanation:

In the above-given question,

given that,

10 – 8 = 2.

The number is 2.

**Math Talk**

**MATHEMATICAL PRACTICES**

Model Describe how to solve this problem using cubes.

**Share and Show MATH BOARD**

Write the unknown numbers.

Question 1.

Find 14 – 8.

8 + _6_ = 14

14 – 8 = _6_

Answer:

The sum of 6 and 8 = 14.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 9.

8 + 6 = 14.

the sum of 8 and 6 = 14.

Answer:

The difference of 14 and 8 = 6.

Explanation:

In the above-given question,

given that,

the numbers are 14 and 6.

14 – 8 = 6.

the difference of 14 and 8 = 6.

Question 2.

Find 17 − 8

8 + _9_ = 17

17 − 8 = _9_

Answer:

The sum of 9 and 8 = 17.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 9.

8 + 9 = 17.

the sum of 8 and 9 = 17.

Answer:

The difference of 17 and 8 = 9.

In the above-given question,

given that,

the numbers are 17 and 8.

17 – 8 = 9.

the difference of 17 and 8 = 9.

Question 3.

Find 11 − 6.

6 + _5_ = 11

11 – 6 = _5_

Answer:

The sum of 6 and 5 = 11.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 5.

6 + 5 = 11.

the sum of 6 and 5 = 11.

Answer:

The difference of 11 and 6 = 5.

Explanation:

In the above-given question,

given that,

the numbers are 11 and 6.

11 – 6 = 5.

the difference of 11 and 6 = 5.

Question 4.

Find 15 − 9

9 + _6_ = 15

15 − 9 = _6_

Answer:

The sum of 9 and 6 = 15.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 9.

6 + 9 = 15.

the sum of 6 and 9 = 15.

Answer:

The difference of 15 and 9 = 6.

Explanation:

In the above-given question,

given that,

the numbers are 15 and 9.

15 – 9 = 6.

the difference of 15 and 9 = 6.

**On Your Own**

Write the unknown numbers.

Question 5.

Find 20 − 10.

10 + _10_ = 20

20 – 10 = _10_

Answer:

The sum of 10 and 10 = 20.

Explanation:

In the above-given question,

given that,

the numbers are 10 and 10.

10 + 10 = 20.

the sum of 10 and 10 = 20.

Answer:

The difference of 20 and 10 = 10.

Explanation:

In the above-given question,

given that,

the numbers are 20 and 10.

20 – 10 = 10.

the difference of 20 and 10 = 10.

Question 6.

Find 13 − 4.

4 + _9_ = 13

13 – 4 = _9_

Answer:

The sum of 4 and 9 = 13.

Explanation:

In the above-given question,

given that,

the numbers are 4 and 9.

4 + 9 = 13.

the sum of 4 and 9 = 13.

Answer:

The difference of 13 and 4 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 13 and 4.

13 – 4 = 9.

the difference of 13 and 4 = 9.

Question 7.

Find 12 − 7.

7 + _5_ = 12

12 – 7 = _5_

Answer:

The sum of 7 and 5 = 12.

Explanation:

In the above-given question,

given that,

the numbers are 7 and 5.

7 + 5 = 12.

the sum of 7 and 5 = 12.

Answer:

The difference of 12 and 7 = 5.

Explanation:

In the above-given question,

given that,

the numbers are 12 and 7.

12 – 7 = 5.

the difference of 12 and 7 = 5.

Question 8.

Find 15 − 8.

8 + _7_ = 15

15 – 8 = _7_

Answer:

The sum of 7 and 8 = 15.

In the above-given question,

given that,

the numbers are 8 and 7.

8 + 7 = 15.

the sum of 8 and 7 = 15.

Answer:

The difference of 15 and 8 = 7.

In the above-given question,

given that,

the numbers are 15 and 8.

15 – 8 = 7.

the difference of 15 and 8 = 7.

**GO DEEPER**

Write an addition sentence to help you find the difference. Then write the related subtraction sentence to solve.

Question 9.

Find 11 − 5.

_5_ + _6_ = _11_

_6_ + _5_ = _11_

Answer:

The sum of 6 and 5 = 11.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 5.

6 + 5 = 11.

the sum of 6 and 5 = 11.

Answer:

The sum of 5 and 6 = 11.

Explanation:

In the above-given question,

given that,

the numbers are 5 and 6.

5 + 6 = 11.

the sum of 5 and 6 = 11.

Answer:

The difference of 11 and 5 = 6.

Explanation:

In the above-given question,

given that,

the numbers are 11 and 5.

11 – 5 = 6.

the difference of 11 and 5 = 6.

Question 10.

Find 13 − 6.

_6_ + _7_ = _13_

_7_ + _6_ = _13_

Answer:

The sum of 6 and 7 = 13.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 7.

6 + 7 = 13.

the sum of 6 and 7 = 13.

Answer:

The sum of 7 and 6 = 13.

Explanation:

In the above-given question,

given that,

the numbers are 7 and 6.

7 + 6 = 13.

the sum of 7 and 6 = 13.

Answer:

The difference of 13 and 6 = 7.

In the above-given question,

given that,

the numbers are 13 and 6.

13 – 6 = 7.

the difference of 13 and 6 = 7.

**Problem Solving • Applications**

**Reason Abstractly** Look at the shapes in the addition sentence. Draw shapes to show a related subtraction fact.

Question 11.

Answer:

The sum of 6 and 8 = 14.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 9.

8 + 6 = 14.

the sum of 8 and 6 = 14.

Answer:

The difference of 14 and 8 = 6.

Explanation:

In the above-given question,

given that,

the numbers are 14 and 6.

14 – 8 = 6.

the difference of 14 and 8 = 6.

Question 12.

Answer:

The sum of 5 and 8 = 13.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 5.

8 + 5 = 13.

the sum of 8 and 5 = 13.

Answer:

The difference of 8 and 5 = 3.

Explanation:

In the above-given question,

given that,

the numbers are 5 and 8.

8 – 5 = 3.

the difference of 8 and 5 = 3.

Question 13.

**THINK SMARTER**

Answer:

The sum of 7 and 8 = 15.

In the above-given question,

given that,

the numbers are 8 and 7.

8 + 7 = 15.

the sum of 8 and 7 = 15.

Answer:

The difference of 15 and 7 = 8.

In the above-given question,

given that,

the numbers are 15 and 7.

15 – 7 = 8.

the difference of 15 and 7 = 8.

Question 14.

**THINK SMARTER**

Which is the unknown number in these related facts?

Answer:

The unknown number is 7.

Explanation:

In the above-given question,

Given that,

The numbers are 5, 7, 8, and 9.

The unknown number is 7.

**TAKE HOME ACTIVITY**

• Give your child 5 small objects, such as paper clips. Then ask your child how many more objects he or she would need to have 12.

### • Use Related Facts Homework & practice 5.6

Write the missing numbers.

Question 1.

Find 16 − 9.

Answer:

The unknown number is 7.

Explanation:

In the above-given question,

Given that,

The sum of 9 and 7 = 16.

the difference of 16 and 9 = 7.

The unknown number is 7.

Question 2.

Find 12 − 7

Answer:

The unknown number is 5.

Explanation:

In the above-given question,

Given that,

The sum of 5 and 7 = 12.

the difference of 12 and 7 = 5.

The unknown number is 5.

Question 3.

Find 15 − 6.

Answer:

The unknown number is 9.

Explanation:

In the above-given question,

Given that,

The sum of 9 and 6 = 15.

the difference of 15 and 6 = 9.

The unknown number is 9.

Question 4.

Find 18 − 9.

Answer:

The unknown number is 9.

Explanation:

In the above-given question,

Given that,

The sum of 9 and 9 = 18.

the difference of 18 and 9 = 9.

The unknown number is 9.

**Problem Solving**

Look at the shapes in the addition sentence. Draw a shape to show a related subtraction fact.

Question 5.

Answer:

The sum of 7 and 8 = 15.

In the above-given question,

given that,

the numbers are 8 and 7.

8 + 7 = 15.

the sum of 8 and 7 = 15.

Answer:

The difference of 15 and 7 = 8.

In the above-given question,

given that,

the numbers are 15 and 7.

15 – 7 = 8.

the difference of 15 and 7 = 8.

Question 6.

**WRITE Math**

Draw pictures to show how to solve 14 – 7 = _7__ and 7 + _7__ = 14.

Answer:

The sum of 7 and 7 = 14.

Explanation:

In the above-given question,

given that,

the numbers are 7 and 7.

7 + 7 = 14.

the sum of 7 and 7 = 14.

Answer:

The difference of 14 and 7 = 7.

Explanation:

In the above-given question,

given that,

the numbers are 14 and 7.

14 – 7 = 7.

the difference of 14 and 7 = 7.

**Lesson Check**

Question 1.

Write an addition fact that helps you solve 12 – 4

_8_ + _4_ = _12_

**Spiral Review**

Question 2.

Circle the greater addend. Count on to find the sum.

Answer:

The sum of 9 and 3 = 12.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 3.

9 + 3 = 12.

the sum of 9 and 3 = 12.

Question 3.

Draw to show the doubles fact. Write the sum.

Answer:

The sum of 8 and 8 = 16.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 8.

8 + 8 = 16.

the sum of 8 and 8 = 16.

### Lesson 5.7 Choose an Operation

**Essential Question**

How do you choose when to add and when to subtract to solve a problem?

**Listen and Draw**

Listen to the problem. Use to solve. Draw a picture to show your work.

_3_ white balloons

**Math Talk**

**MATHEMATICAL PRACTICES**

How did you solve this problem? Explain.

**Model and Draw**

Mary sees 8 squirrels. Jack sees 9 more squirrels than Mary. How many squirrels does Jack see? Do you add or subtract to solve?

Answer:

The number of squirrels does jack see = 17.

Explanation:

In the above-given question,

given that,

Mary sees 8 squirrels.

jack sees 9 more squirrels than mary.

8 + 9 = 13.

The number of squirrles does jack see = 17.

**Share and Show MATH BOARD**

Circle add or subtract. Write a number sentence to solve.

Question 1.

Hanna has 5 markers. Owen has 9 more markers than Hanna. How many markers does Owen have?

add subtract

Answer:

The number of markers does Owen has = 14.

Explanation:

In the above-given question,

given that,

Hanna has 5 markers.

Owen has 9 more markers than Hanna.

5 + 9 = 14.

The number of markers does Owen has = 14.

Question 2.

Angel has 13 apples. He gives some away. Then there were 5 apples. How many apples does he give away?

add subtract

Answer:

The number of apples he gives = 8.

Explanation:

In the above-given question,

given that,

Angel has 13 apples.

He gives some away.

Then there were 5 apples.

13 – 5 = 8.

The number of apples he gives = 8.

Question 3.

Deon has 18 blocks. He builds a house with 9 of the blocks. How many blocks does Deon have now?

add subtract

Answer:

The number of blocks does Deon has now = 9.

Explanation:

In the above-given question,

given that,

Deon has 18 blocks.

He builds a house with 9 of the blocks.

18 – 9 = 9.

The number of blocks Does has now = 9.

**On Your Own**

Circle add or subtract. Write a number sentence to solve.

Question 4.

Rob sees 5 raccoons. Talia sees 4 more raccoons than Rob. How many raccoons do they see?

add subtract

______9______

__9__ raccoons

Answer:

The number of raccoons they see = 9.

Explanation:

In the above-given question,

given that,

Rob sees 5 raccoons.

Talia sees 4 more raccoons than Rob.

5 + 4 = 9.

The number of raccoons they see = 9.

Question 5.

Eli has a box with 12 eggs. His other box has no eggs. How many eggs are in both boxes?

add subtract

___12_________

_12___ eggs

Answer:

The number of eggs in both the boxes = 12.

Explanation:

In the above-given question,

given that,

Eli has a box with 12 eggs.

His other box has no eggs.

12 + 0 = 12.

The number of eggs in both the boxes = 12.

Question 6.

Leah has a bowl with 16 fish. Some fish have long tails. 7 fish have short tails. How many fish have long tails?

add subtract

__9__________

__9__ fish

Answer:

The number of fish have long tails = 9.

Explanation:

In the above-given question,

given that,

Leah has a bowl with 16 fish.

some fish have long tails.

16 – 7 = 9.

The number of fish have long tails = 9.

Question 7.

**GO DEEPER** Sasha has 8 red apples. She has 3 fewer green apples than red apples. How many apples does she have?

add subtract

___13___

_13_ apples

Answer:

The number of apples have = 13.

Explanation:

In the above-given question,

given that,

Sasha has 8 red apples.

she has 3 fewer green apples than red apples.

8 + 5 = 13.

The number of apples have = 13.

**Problem Solving • Applications**

**MATHEMATICAL PRACTICE**

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

Question 8.

James has 4 big markers and 7 skinny markers. How many markers does he have?

_11_ markers

Answer:

The number of markers James has = 11.

Explanation:

In the above-given question,

given that,

James has 4 big markers and 7 skinny markers.

7 + 4 = 11.

The number of markers james has = 11.

Question 9.

Sam has 9 baseball cards. She wants to have 17 cards. How many more cards does she need?

_8_ more cards

Answer:

The number of cards she needs more = 8.

Explanation:

In the above-given question,

given that,

Sam has 9 baseball cards.

she wants to have 17 cards.

The number of cards does she need = 8.

Question 10.

**THINK SMARTER**

Annie gets 15 pennies on Monday. She gets 1 more penny each day. How many pennies does she have on Friday?

_19_ pennies

Answer:

The number of pennies does she have on Friday = 19.

Explanation:

In the above-given question,

given that,

Annie gets 15 pennies on Monday.

She gets 1 more penny each day.

15 + 4 = 19.

The number of pennies does she have on Friday = 19.

Question 11.

**THINK SMARTER**

Beth has 5 grapes. A friend gives her 8 grapes. How many grapes does Beth have now? Draw a picture to show your work.

Beth has _13_ grapes.

Answer:

The number of grapes does Beth has now =13.

Explanation:

In the above-given question,

given that,

Beth has 5 grapes.

A friend gives her 8 grapes.

5 + 8 = 13.

The number of grapes does Beth has now =13.

**TAKE HOME ACTIVITY**

• Ask your child to write a number sentence that could be used to solve Exercise 9.

### Choose an Operation Homework & Practice 5.7

**Circle add or subtract. Write a number sentence to solve.**

Question 1.

Adam has a bag of 11 pretzels. He eats 2 of the pretzels. How many pretzels are left?

____13______

_13_ pretzels

Answer:

The number of pretzels left = 13.

Explanation:

In the above-given question,

given that,

Adam has a bag of 11 pretzels.

He eats 2 of the pretzels.

11 + 2 = 13.

The number of pretzels left = 13.

**Problem Solving**

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

Question 2.

Greg has 11 shirts. 3 have long sleeves. The rest have short sleeves. How many short-sleeve shirts does Greg have?

_8_ short-sleeve shirts

Answer:

The number of short-sleeve does Greg has = 8.

Explanation:

In the above-given question,

given that,

Greg has 11 shirts. 3 have long sleeves.

The rest have short sleeves.

11 – 3 = 8.

The number of short-sleeves does Greg has = 8.

Question 3.

**WRITE Math**

Use words, numbers, or pictures to explain how a classmate solved a problem.

Answer:

The number of short-sleeve does Greg has = 8.

Explanation:

In the above-given question,

given that,

Greg has 11 shirts. 3 have long sleeves.

The rest have short sleeves.

11 – 3 = 8.

The number of short-sleeves does Greg has = 8.

**Lesson Check**

Question 1.

Circle add or subtract. Write a number sentence to solve. There are 18 children on the bus. Then 9 children get off. How many children are left on the bus?

Answer:

The number of children left on the bus = 9.

Explanation:

In the above-given question,

given that,

There are 18 children on the bus.

Then 9 children get off.

18 – 9 = 9.

The number of children left on the bus = 9.

**Spiral Review**

Question 2.

Choose a way to solve. Draw or write to explain. Mike has 13 plants. He gives some away. He has 4 left. How many plants does he give away?

_9_ plants

Answer:

The number of plants does he give = 9.

Explanation:

In the above-given question,

given that,

Mike has 13 plants.

He gives some away. He has 4 left.

13 – 4 = 9.

The number of plants does he give = 9.

Question 3.

Write the numbers 3, 2, and 8 in an addition sentence. Show two more ways to find the sum.

_3_ + _2_ + _8 = _13_

_5_ + _8_ = _13_

_8_ + _5_ = _13_

Answer:

The sum of 5 and 8 = 13.

Explanation:

In the above-given question,

given that,

the numbers are 5 and 8.

5 + 8 = 13.

the sum of 5 and 8 = 13.

Answer:

The sum of 8 and 5 = 13.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 5.

8 + 5 = 13.

the sum of 8 and 5 = 13.

### Lesson 5.8 Algebra • Ways to Make Numbers to 20

**Essential Question**

How can you add and subtract in different ways to make the same number?

**Listen and Draw**

Use . Show two ways to make 10. Draw to show your work.

Answer:

The sum of 5 and 5 = 10.

Explanation:

In the above-given question,

given that,

the numbers are 5 and 5.

5 + 5 = 10.

the sum of 5 and 5 = 10.

Answer:

The sum of 6 and 4 = 10.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 4.

6 + 4 = 10.

the sum of 6 and 4 = 10.

**Math Talk**

**MATHEMATICAL PRACTICES**

Use Tools How do your models show two ways to make 10?

**Share and Show MATH BOARD**

Use . Write ways to make the number at the top.

Question 1.

Answer:

The sum of 8 and 5 = 13.

In the above-given question,

given that,

the numbers are 8 and 5.

8 + 5 = 13.

the sum of 8 and 5 = 13.

Question 2.

Answer:

The sum of 5 and 5 = 10.

Explanation:

In the above-given question,

given that,

the numbers are 5 and 5.

5 + 5 = 10.

the sum of 5 and 5 = 10.

**On Your Own**

**MATHEMATICAL PRACTICE**

**Use Appropriate Tools**

Use . Write ways to make the number at the top.

Question 3.

Answer:

The sum of 8 and 5 and 4= 17.

Explanation:

In the above-given question,

given that,

the numbers are 8, 5, and 4.

8 + 5 + 4 = 13.

the sum of 8, 4, and 5 = 17.

Question 4.

Answer:

The sum of 4 and 7 and 3= 14.

Explanation:

In the above-given question,

given that,

the numbers are 4, 7, and 3.

4 + 7 + 3 = 14.

the sum of 4, 7, and 3 = 14.

Question 5.

Answer:

The sum of 8 and 5 and 3= 16.

Explanation:

In the above-given question,

given that,

the numbers are 8, 5, and 3.

8 + 5 + 3 = 16.

the sum of 8, 5, and 3 = 16.

Question 6.

Answer:

The sum of 8 and 5 and 4= 17.

Explanation:

In the above-given question,

given that,

the numbers are 8, 5, and 4.

8 + 5 + 4 = 17.

the sum of 8, 4, and 5 = 17.

**THINK SMARTER**

Choose a number less than 20. Write the number. Write two ways to make your number.

Question 7.

Answer:

The sum of 10 and 10 = 20.

In the above-given question,

given that,

the numbers are 10 and 10.

10 + 10 = 20.

the sum of 10 and 10 = 20.

Question 8.

Answer:

The sum of 8 and 12 = 20.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 12.

8 + 12 = 20.

the sum of 8 and 12 = 20.

**Problem Solving • Applications**

**GO DEEPER**

Write numbers to make each line have the same sum.

Question 9.

Answer:

The number that have the same sum = 8.

Explanation:

In the above-given question,

given that,

the numbers are

3 + 8 + 6 = 17.

5 + 8 + 4 = 17.

17 – 9 = 8.

so the number = 8.

Question 10.

Answer:

The number that have the same sum = 5.

Explanation:

In the above-given question,

given that,

the numbers are

3 + 6 + 6 = 15.

15 – 15 = 0.

15 – 10 = 5.

so the number = 5.

Question 11.

**GO DEEPER**

Choose a number from 14 to 20 to be the sum. Write numbers to make each line have your sum.

sum for each line ☐

Answer:

The number that have the same sum = 16.

Explanation:

In the above-given question,

given that,

the numbers are

10 + 2 + 4 = 16

10 + 4 + 2 = 16.

10 + 1 + 5 = 16.

so the number = 16.

Question 12.

**THINK SMARTER**

Choose all the ways that make 13.

Answer:

The sum of 10 and 3 = 13.

Explanation:

In the above-given question,

given that,

the numbers are 10 and 3.

10 + 3 = 13.

the sum of 10 and 3 = 13.

**TAKE HOME ACTIVITY**

• Have your child explain three different ways to make 15. Encourage him or her to use addition and subtraction, including addition of three numbers.

### Algebra • Ways to Make Numbers to 20 Homework & practice 5.8

Use . Write ways to make the number at the top.

Question 1.

Answer:

The number is 10.

Explanation:

In the above-given question,

given that,

2 + 7 + 1 = 10.

5 + 5 = 10.

10 – 0 = 10.

9 + 1 = 10.

the number is 10.

Question 2.

Answer:

The number is 13.

Explanation:

In the above-given question,

given that,

8 + 3 + 2 = 13.

7 + 6 = 13.

13 – 0 = 13.

6 + 7 = 13.

the number is 13.

**Problem Solving**

Write numbers to make 3. each line have the same sum.

Question 3.

Answer:

The number is 16.

Explanation:

In the above-given question,

given that,

5 + 7 + 4 = 16.

6 + 7 + 3 = 16.

7 + 2 + 7 = 16.

the number is 16.

Question 4.

**WRITE Math**

Use numbers and pictures to show two ways to make the number 12.

____6 + _6___=____12______

____5 ___+_7__=___12_____

___7__+__5___=__12______

Answer:

The sum of 7 and 5 = 12.

Explanation:

In the above-given question,

given that,

the numbers are 7 and 5.

7 + 5 = 12.

the sum of 7 and 5 = 12.

Answer:

The sum of 8 and 4 = 12.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 4.

8 + 4 = 12.

the sum of 8 and 4 = 12.

**Lesson Check**

Question 1.

Write ways to make 18.

Answer:

The number is 18.

Explanation:

In the above-given question,

given that,

9 + 8 + 1 = 18.

9 + 9 = 18.

18 – 0 = 18.

10 + 8 = 18

the number is 18.

Question 2.

Write ways to make 9.

Answer:

The number is 9.

Explanation:

In the above-given question,

given that,

3 + 3 + 3 = 9.

6 + 3 = 9.

9 – 0 = 9.

8 + 1 = 9.

the number is 9.

**Spiral Review**

Question 3.

Write the doubles plus one fact for 7 + 7.

_7_ + _7_ = _14_

Answer:

The sum of 7 and 7 = 14.

Explanation:

In the above-given question,

given that,

the numbers are 7 and 7.

7 + 7 = 14.

the sum of 7 and 7 = 14.

Question 4.

Write the doubles minus one fact for 4 + 4.

_4_ + _4_ = _8_

Answer:

The sum of 4 and 4 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 4 and 4.

4 + 4 = 8.

the sum of 4 and 4 = 8.

Question 5.

Think of an addition fact to help you subtract.

Answer:

The sum of 9 and 5 = 14.

In the above-given question,

given that,

the numbers are 9 and 5.

9 + 5 = 14.

the sum of 9 and 5 = 14.

Answer:

The difference of 14 and 9 = 5.

Explanation:

In the above-given question,

given that,

the numbers are 14 and 9.

14 – 9 = 5.

the difference of 14 and 9 = 5.

### Lesson 5.9 Algebra • Equal and Not Equal

**Essential Question**

How can you decide if a number sentence is true or false?

**Listen and Draw**

Color the cards that make the same number.

Answer:

The cards that make the same number = 7.

Explanation:

In the above-given question,

given that,

the numbers that are the same.

6 + 1 = 7.

3 + 3 +1 = 7.

13 – 6 = 7.

3 + 4 = 7.

4 + 3 = 7.

3 + 2 + 2 = 7.

16 – 9 = 7.

the card that makes the same number = 7.

**Math Talk**

**MATHEMATICAL PRACTICES**

Reasoning Why can you use two of the cards you color and an equal sign to make a number sentence?

**Model and Draw**

The equal sign means that both sides are the same.

Write a number to make each true.

Answer:

The number is 4 + 5 = 5 + 4.

Explanation:

In the above-given question,

given that,

9 = 9.

4 + 5 = 9.

4 + 5 = 5 + 4.

The number is 4 + 5 = 5 + 4.

**Share and Show MATH BOARD**

Which is true? Circle your answer. Which is false? Cross out your answer.

Question 1.

Question 2.

4 + 1 = 5 + 2

6 – 6 = 7 – 7

Answer:

The number that is true is 6 – 6 = 7 – 7.

Explanation:

In the above-given question,

given that,

the numbers are 4 + 1 = 5.

5 + 2 = 7.

the number that is true is 6 – 6 = 7 – 7.

Question 3.

7 + 2 = 6 + 3

8 – 2 = 6 + 4

Answer:

The number that is true is 7 + 2 = 6 + 3.

Explanation:

In the above-given question,

given that,

the numbers are

8 – 2 = 6 + 4

the number that is true is 7 + 2 = 6 + 3.

Question 4.

5 – 4 = 4 – 3

10 = 1 + 0

Answer:

The number that is true is 5 – 4 = 4 – 3.

Explanation:

In the above-given question,

given that,

the numbers are 10 = 1 + 0.

the number that is true is 5 – 4 = 4 -3.

**On Your Own**

**MATHEMATICAL PRACTICE**

**Attend to Precision**

Which are true? Circle your answers. Which are false? Cross out your answers.

Question 5.

Answer:

The number that is true is 8 + 1 = 2 + 7, 19 = 19.

Explanation:

In the above-given question,

given that,

the numbers are 1 + 9 = 9 – 1.

the number that is true is 8 + 1 = 2 + 7, 19 = 19.

Question 6.

Answer:

The number that is true is 9 + 7 = 16.

Explanation:

In the above-given question,

given that,

the numbers are 16 – 9 = 9 + 7.

9 – 7 = 7 + 9.

the number that is true is 9 + 7 = 16.

Question 7.

**THINK SMARTER**

Lyle writes the false number sentence 2 + 10 = 8. Complete the number sentence to make the sentence true.

2 + _6_ = 8

Answer:

The number that is true is 2 + 6 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 2 + 10 = 8.

the number that is true is 2 + 6 = 8.

Write numbers to make sentences that are true.

Question 8.

2 + 10 = 7 + _5_

Answer:

The number that is true is 12 = 12.

Explanation:

In the above-given question,

given that,

the numbers are

2 + 10 = 7 + 5.

the number that is true is 12 = 12.

Question 9.

_9_ = 2 + 3 + 4

Answer:

The number that is true is 9 = 9.

Explanation:

In the above-given question,

given that,

the numbers are

9 = 2 + 3 + 4.

the number that is true is 9 = 9..

Question 10.

0 + 9 = _0_ – 9

Answer:

The number that is true is 9 = 9.

Explanation:

In the above-given question,

given that,

the numbers are

9 = 9

the number that is true is 9 = 9.

Question 11.

_6_ + 7 = 7 + 6

Answer:

The number that is true is 13 = 13.

Explanation:

In the above-given question,

given that,

the numbers are

6 + 7 = 7 + 6.

the number that is true is 13 = 13.

Question 12.

**THINK SMARTER**

Write numbers to show expressions of equal value.

_6_ + _7_ = _7_ + _6_

Answer:

The number that is true is 13 = 13.

Explanation:

In the above-given question,

given that,

the numbers are

6 + 7 = 7 + 6.

the number that is true is 13 = 13.

**Problem Solving • Applications**

Question 13.

Which are true? Use to color.

Answer:

The number that is true is 20 = 20, 9 + 1 + 1 = 11.

Explanation:

In the above-given question,

given that,

the numbers are

20 = 20, 9 + 1 + 1 = 11, 8 – 0 = 8, 10 + 1 = 1 + 10, 6 = 2 + 2 + 2.

the number that is true is 20 = 20.

Question 14.

**THINK SMARTER**

Use the same numbers. Write a different number sentence that is true.

7 + 8 = 15

Answer:

The difference of 15 and 7 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 15 and 7.

15 – 7 = 8.

Question 15.

**THINK SMARTER**

Is the math sentence true? Circle Yes or No.

Answer:

The number that is true is 5 – 4 = 9 – 8, 6 + 2 = 2 + 6.

Explanation:

In the above-given question,

given that,

the numbers are

5 – 4 = 9 – 8, 13 = 5 + 7, 6 + 2 = 2 + 6.

the number that is true is 5 – 4 = 9 – 8, 6 + 2 = 2 + 6.

**TAKE HOME ACTIVITY**

• Write 10 = 7 − 3 and 10 = 7 + 3 on a sheet of paper. Ask your child to explain which is true.

### Algebra • Equal and Not Equal Homework & practice 5.9

Which are true? Circle your answers. Which are false? Cross out your answers.

Question 1.

6 + 4 = 5 + 5

Answer:

The number is true.

Explanation:

In the above-given question,

given that,

the numbers are

6 + 4 = 5 + 5.

10 = 10.

The number that is true.

Question 2.

10 = 6 – 4

Answer:

The number is false.

Explanation:

In the above-given question,

given that,

the numbers are

10 = 6 – 4.

10 = 2.

The number that is false.

Question 3.

8 + 8 = 16 – 8

Answer:

The number is false.

Explanation:

In the above-given question,

given that,

the numbers are

8 + 8 = 16 – 8.

16 = 8.

The number that is false.

Question 4.

14 = 1 + 4

Answer:

The number is false.

Explanation:

In the above-given question,

given that,

the numbers are

14 = 1 + 4 .

14 = 5.

The number is false.

Question 5.

8 – 0 = 12 – 4

Answer:

The number is true.

Explanation:

In the above-given question,

given that,

the numbers are

8 – 0 = 12 – 4.

8 = 8.

The number is true.

Question 6.

17 = 9 + 8

Answer:

The number is true.

Explanation:

In the above-given question,

given that,

the numbers are

17 = 9 + 8.

17 = 17.

The number is true.

**Problem Solving**

Question 7.

Which are true? Use a to color.

Answer:

The number is true.

Explanation:

In the above-given question,

given that,

the numbers are

15 = 15, 3 = 8 – 5, 9 + 2 = 2 + 9, 1 + 2 + 3 = 3 + 3, 13 = 8 + 5.

The number is true.

Question 8.

WRITE Math

Write 5 + ☐ = 6 + 8. Write a number to make the sentence true. Draw a quick picture to explain.

___5 + 9_ = __14____________

____6 + 8 _=__14__________

Answer:

The sum of 5 + 9 = 6 + 8.

Explanation:

In the above-given question,

given that,

5 + 9 = 14.

6 + 8 = 14.

14 = 14.

The sum is 14.

**Lesson Check**

Question 1.

Circle the number sentences that are true. Cross out the ones that are false.

Answer:

The number is true.

Explanation:

In the above-given question,

given that,

the numbers are

4 + 3 = 9 – 2, 4 + 3 = 6 + 1.

The number is true.

**Spiral Review**

Question 2.

Use 5, 6 and 11 to write related addition and subtraction sentences.

Answer:

The numbers are 5 + 6 = 11.

6 + 5 = 11.

11 – 6 = 5.

11 – 5 = 6.

Explanation:

In the above-given question,

given that,

the numbers are

5 + 6 = 11.

6 + 5 = 11.

11 – 6 = 5.

11 – 5 = 6.

Question 3.

Solve. Draw or write to show your work. Leah has 4 green toys, 5 pink toys, and 2 blue toys. How many toys does Leah have?

_11_ toys

Answer:

The number of toys does Leah has = 11.

Explanation:

In the above-given question,

given that,

Leah has 4 green toys, 5 pink toys, and 2 blue toys.

4 + 5 + 2 = 11.

The number of toys does Leah has = 11.

### Lesson 5.10 Facts Practice to 20

**Essential Question**

How can addition and subtraction strategies help you find sums and differences?

**Listen and Draw**

What is 2 + 8?

Use . Draw to show a strategy you can use to solve.

2 + 8 = _10_

Answer:

The sum of 2 and 8 = 10.

Explanation:

In the above-given question,

given that,

the numbers are 2 and 8.

8 + 2 = 10.

the sum of 2 and 8 = 10.

**Math Talk**

**MATHEMATICAL PRACTICES**

Explain What other strategy could you use to solve the addition fact?

**Share and Show MATH BOARD**

Add or subtract.

Question 1.

2 + 5 = _7_

Answer:

The sum of 2 and 5 = 7.

Explanation:

In the above-given question,

given that,

the numbers are 2 and 5.

2 + 5 = 7.

the sum of 2 and 5 = 7.

Question 2.

9 – 6 = _3_

Answer:

The difference of 9 and 6 = 3.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 6.

9 – 6 = 3.

the difference of 9 and 6 = 3.

Question 3.

_12_ = 9 + 3

Answer:

The sum of 9 and 3 = 12.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 3.

9 + 3 = 12.

the sum of 9 and 3 = 12.

Question 4

15 – 7 = _8_

Answer:

The difference of 15 and 7 = 8.

In the above-given question,

given that,

the numbers are 15 and 7.

15 – 7 = 8.

the difference of 15 and 7 = 8.

Question 5.

3 – 1 = _2_

Answer:

The difference of 3 and 1 = 2.

Explanation:

In the above-given question,

given that,

the numbers are 3 and 1.

3 – 1 = 2.

the difference of 3 and 1 = 2.

Question 6.

_8_ = 2 + 6

Answer:

The sum of 2 and 6 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 2 and 6.

2 + 6 = 8.

the sum of 2 and 6 = 8.

Question 7.

2 + ☐ = 11

Answer:

The sum of 2 and 9 = 11.

Explanation:

In the above-given question,

given that,

the numbers are 2 and 9.

2 + 9 = 11.

the sum of 2 and 9 = 11.

Question 8.

10 – ☐ = 2

Answer:

The difference of 10 and 8 = 2.

Explanation:

In the above-given question,

given that,

the numbers are 10 and 8.

10 – 8 = 2.

the difference of 10 and 8 = 2.

Question 9.

8 = 8 + ☐

Answer:

The sum of 8 and 0 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 0.

8 + 0 = 8.

the sum of 8 and 0 = 8.

Question 10.

12 – 9 = _3_

Answer:

The difference of 12 and 9 = 3.

Explanation:

In the above-given question,

given that,

the numbers are 12 and 9.

12 – 9 = 3.

the difference of 12 and 9 = 3.

Question 11.

12 – 4 = _8_

Answer:

The difference of 12 and 4 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 12 and 4.

12 – 4 = 8.

the difference of 12 and 4 = 8.

Question 12.

_13_ = 4 + 9

Answer:

The sum of 9 and 4 = 13.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 4.

9 + 4 = 13.

the sum of 9 and 4 = 13.

Question 13.

☐ + 8 = 13

Answer:

The sum of 8 and 5 = 13.

In the above-given question,

given that,

the numbers are 8 and 5.

8 + 5 = 13.

the sum of 8 and 5 = 13.

Question 14.

☐ – 1 = 6

Answer:

The difference of 7 and 1 = 6.

Explanation:

In the above-given question,

given that,

the numbers are 7 and 1.

7 – 1 = 6.

the difference of 7 and 1 = 6.

Question 15.

9 = ☐ + 3

Answer:

The sum of 6 and 3 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 3.

6 + 3 = 9.

the sum of 6 and 3 = 9.

Question 16.

16 – 7 = _9_

Answer:

The difference of 16 and 7 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 16 and 7.

16 – 7 = 9.

the difference of 16 and 7 = 9.

Question 17.

11 – 8 = _3_

Answer:

The difference of 11 and 8 = 3.

Explanation:

In the above-given question,

given that,

the numbers are 11 and 8.

11 – 8 = 3.

the difference of 11 and 8 = 3.

Question 18.

_15_ = 8 + 7

Answer:

The sum of 8 and 7 = 15.

In the above-given question,

given that,

the numbers are 8 and 7.

8 + 7 = 15.

the sum of 8 and 7 = 15.

**On Your Own**

**MATHEMATICAL PRACTICE**

**Attend to Precision**

Add or subtract.

Question 19.

Answer:

The sum of 6 and 0 = 6.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 0.

6 + 0 = 6.

the sum of 6 and 0 = 6.

Question 20.

Answer:

The difference of 17 and 8 = 9.

In the above-given question,

given that,

the numbers are 17 and 8.

17 – 8 = 9.

the difference of 17 and 8 = 9.

Question 21.

Answer:

The sum of 4 and 7 = 11.

Explanation:

In the above-given question,

given that,

the numbers are 4 and 7.

4 + 7 = 11.

the sum of 4 and 7 = 11.

Question 22.

Answer:

The difference of 9 and 0 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 0.

9 – 0 = 9.

the difference of 9 and 0 = 9.

Question 23.

Answer:

The difference of 17 and 9 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 17 and 9.

17 – 9 = 8.

the difference of 11 and 8 = 3.

Question 24.

Answer:

The sum of 4 and 6 = 10.

Explanation:

In the above-given question,

given that,

the numbers are 4 and 6.

4 + 6 = 10.

the sum of 4 and 6 = 10.

Question 25.

Answer:

The sum of 3 and 7 = 10.

Explanation:

In the above-given question,

given that,

the numbers are 3 and 7.

3 + 7 = 10.

the sum of 3 and 7 = 10.

Question 26.

Answer:

The difference of 8 and 5 = 3.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 5.

8 – 5 = 3.

the difference of 8 and 5 = 3.

Question 27.

Answer:

The sum of 8 and 3 = 11.

In the above-given question,

given that,

the numbers are 8 and 3.

8 + 3 = 11.

the sum of 8 and 3 = 11.

Question 28.

Answer:

The difference of 8 and 6 = 2.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 6.

8 – 6 = 2.

the difference of 8 and 6 = 2.

Question 29.

Answer:

The difference of 10 and 4 = 6.

Explanation:

In the above-given question,

given that,

the numbers are 10 and 4.

10 – 4 = 6.

the difference of 10 and 4 = 6.

Question 30.

Answer:

The sum of 9 and 8 = 17.

In the above-given question,

given that,

the numbers are 9 and 8.

9 + 8 = 17.

the sum of 8 and 9 = 17.

Question 31.

Answer:

The sum of 6 and 7 = 13.

In the above-given question,

given that,

the numbers are 6 and 7.

6 + 7 = 13.

the sum of 6 and 7 = 13.

Question 32.

Answer:

The difference of 4 and 4 = 0.

Explanation:

In the above-given question,

given that,

the numbers are 4 and 4.

4 – 4 = 0.

the difference of 4 and 4 = 0.

Question 33.

Answer:

The sum of 5 and 6 = 11.

Explanation:

In the above-given question,

given that,

the numbers are 5 and 6.

5 + 6 = 11.

the sum of 5 and 6 = 11.

Question 34.

Answer:

The difference of 13 and 6 = 7.

In the above-given question,

given that,

the numbers are 13 and 6.

13 – 6 = 7.

the difference of 13 and 6 = 7.

Question 35.

Answer:

The difference of 17 and 9 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 17 and 9.

17 – 9 = 8.

the difference of 17 and 9 = 8.

Question 36.

Answer:

The sum of 8 and 8 = 16.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 8.

8 + 8 = 16.

the sum of 8 and 8 = 16.

Question 37.

Answer:

The sum of 10 and 5 = 15.

Explanation:

In the above-given question,

given that,

the numbers are 10 and 5.

10 + 5 = 15.

the sum of 10 and 5 = 15.

Question 38.

Answer:

The difference of 13 and 3 = 10.

Explanation:

In the above-given question,

given that,

the numbers are 13 and 3.

13 – 3 = 10.

the difference of 13 and 3 = 10.

Question 39.

Answer:

The sum of 10 and 3 = 13.

Explanation:

In the above-given question,

given that,

the numbers are 10 and 3.

10 + 3 = 13.

the sum of 10 and 3 = 13.

Question 40.

Answer:

The difference of 20 and 10 = 10.

In the above-given question,

given that,

the numbers are 20 and 10.

20 – 10 = 10.

the difference of 20 and 10 = 10.

Question 41.

Answer:

The difference of 10 and 9 = 1.

Explanation:

In the above-given question,

given that,

the numbers are 10 and 9.

10 – 9 = 1.

the difference of 10 and 9 = 1.

Question 42.

Answer:

The sum of 9 and 10 = 19.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 10.

9 + 10 = 19.

the sum of 9 and 10 = 19.

Question 43.

Use the clues to write the addition fact. The sum is 14. One addend is 2 more than the other.

Answer:

The sum of 6 and 8 = 14.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 8.

6 + 8 = 14.

the sum of 6 and 8 = 14.

**Problem Solving • Applications**

Solve. Write or draw to explain.

Question 44.

There are 14 rabbits. Then 7 rabbits hop away. How many rabbits are there now?

_7_ rabbits

Answer:

The number of rabbits now = 7.

Explanation:

In the above-given question,

given that,

There are 14 rabbits.

Then 7 rabbits hop away.

14 – 7 = 7.

The number of rabbits now = 7.

Question 45.

There are 11 dogs at the park. 2 dogs are gray. The rest are brown. How many dogs are brown?

__9 brown dogs

Answer:

The number of brown dogs = 9.

Explanation:

In the above-given question,

given that,

There are 11 dogs at the park.

2 dogs are gray.

11 – 2 = 9.

The number of brown dogs = 9.

Question 46.

**GO DEEPER**

Fill in the blanks. Write the addition fact. Solve. There are __ ladybugs on a leaf. Then __ more ladybugs come. How many ladybugs are there now?

Answer:

The number of ladybugs now = 8.

Explanation:

In the above-given question,

given that,

There are 6 ladybugs on a leaf.

Then 2 more ladybugs come.

6 + 2 = 8.

The number of ladybugs now = 8.

Question 47.

**THINK SMARTER**

Marco has 13 marbles. Lucy has 8 marbles. How many more marbles does Marco have than Lucy? Write or draw to show your work.

_5_ more marbles

Answer:

The number of marbles Marco has = 5.

Explanation:

In the above-given question,

given that,

Marco has 13 marbles.

Lucy has 8 marbles.

13 – 8 = 5.

The number of marbles Marco has = 5.

**TAKE HOME ACTIVITY**

• Have your child draw a picture to solve 7 + 4. Then have him or her tell a related subtraction fact.

### Facts Practice to 20 Homework & Practice 5.10

Add or subtract.

Question 1.

Answer:

The sum of 9 and 4 = 13.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 4.

9 + 4 = 13.

the sum of 9 and 4 = 13.

Question 2.

Answer:

The difference of 13 and 6 = 7.

In the above-given question,

given that,

the numbers are 13 and 6.

13 – 6 = 7.

the difference of 13 and 6 = 7.

Question 3.

Answer:

The sum of 4 and 5 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 4 and 5.

4 + 5 = 9.

the sum of 4 and 5 = 9.

Question 4.

Answer:

The sum of 7 and 8 = 15.

Explanation:

In the above-given question,

given that,

the numbers are 7 and 8.

7 + 8 = 15.

the sum of 7 and 8 = 15.

Question 5.

Answer:

The difference of 11 and 6 = 5.

Explanation:

In the above-given question,

given that,

the numbers are 11 and 6.

11 – 6 = 5.

the difference of 11 and 6 = 5.

Question 6.

Answer:

The difference of 17 and 8 = 9.

In the above-given question,

given that,

the numbers are 17 and 8.

17 – 8 = 9.

the difference of 17 and 8 = 9.

Question 7.

Answer:

The sum of 5 and 7 = 12.

Explanation:

In the above-given question,

given that,

the numbers are 5 and 7.

5 + 7 = 12.

the sum of 5 and 7 = 12.

Question 8.

Answer:

The difference of 13 and 5 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 13 and 5.

13 – 5 = 8.

the difference of 13 and 5 = 8.

Question 9.

Answer:

The difference of 16 and 9 = 7.

In the above-given question,

given that,

the numbers are 16 and 9.

16 – 9 = 7.

the difference of 16 and 9 = 7.

Question 10.

Answer:

The sum of 3 and 8 = 11.

Explanation:

In the above-given question,

given that,

the numbers are 3 and 8.

3 + 8 = 11.

the sum of 3 and 8 = 11.

Question 11.

Answer:

The difference of 9 and 8 = 1.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 8.

9 – 8 = 1.

the difference of 9 and 8 = 1.

Question 12.

Answer:

The sum of 7 and 6 = 13.

In the above-given question,

given that,

the numbers are 6 and 7.

6 + 7 = 13.

the sum of 6 and 7 = 13.

Question 13.

Answer:

The difference of 9 and 2 = 7.

Explanation:

In the above-given question,

given that,

the numbers are 9 and 2.

9 – 2 = 7.

the difference of 9 and 2 = 7.

Question 14.

Answer:

The sum of 6 and 4 = 10.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 4.

6 + 4 = 10.

the sum of 6 and 4 = 10.

Question 15.

Answer:

The difference of 8 and 5 = 3.

Explanation:

In the above-given question,

given that,

the numbers are 8 and 5.

8 – 5 = 3.

the difference of 8 and 5 = 3.

Question 16.

Answer:

The sum of 6 and 6 = 12.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 6.

6 + 6 = 12.

the sum of 6 and 6 = 12.

Question 17.

Answer:

The sum of 0 and 9 = 9.

Explanation:

In the above-given question,

given that,

the numbers are 0 and 9.

0 + 9 = 9.

the sum of 0 and 9 = 9.

Question 18.

Answer:

The difference of 15 and 9 = 6.

In the above-given question,

given that,

the numbers are 15 and 9.

15 – 9 = 6.

the difference of 15 and 9 = 6.

**Problem Solving**

Solve. Draw or write to explain.

Question 19.

Kara has 9 drawings. She gives 4 away. How many drawings does Kara have now?

_5_ drawings

Answer:

The number of drawings kara has = 5.

Explanation:

In the above-given question,

given that,

Kara has 9 drawings.

she gives 4 away.

9 – 4 = 5.

The number of drawings kara has = 5.

Question 20.

**WRITE Math**

Choose two numbers from 5 to 9. Use your numbers to write an addition sentence. Draw a picture to show your work.

__________________

Answer:

The sum of 6 and 6 = 12.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 6.

6 + 6 = 12.

the sum of 6 and 6 = 12.

**Lesson Check**

Question 1.

Add or subtract.

Answer:

The sum of 8 and 7 = 15.

In the above-given question,

given that,

the numbers are 8 and 7.

8 + 7 = 15.

the sum of 8 and 7 = 15.

Answer:

The sum of 5 and 8 = 13.

Explanation:

In the above-given question,

given that,

the numbers are 5 and 8.

5 + 8 = 13.

the sum of 5 and 8 = 13.

Answer:

The difference of 14 and 7 = 7.

Explanation:

In the above-given question,

given that,

the numbers are 14 and 7.

14 – 7 = 7.

the difference of 14 and 7 = 7.

Answer:

The difference of 15 and 6 = 8.

Explanation:

In the above-given question,

given that,

the numbers are 15 and 6.

15 – 6 = 8.

the difference of 15 and 6 = 8.

**Spiral Review**

Question 2.

What is the missing number? Write the missing addend.

7 + ☐ = 12

Answer:

The sum of 7 and 5 = 12.

Explanation:

In the above-given question,

given that,

the numbers are 7 and 5.

7 + 5 = 12.

the sum of 5 and 7 = 12.

Question 3.

Greg knows 7 + 4 = 11. What other addition fact does he know that shows the same addends? Write the new fact.

_6_ + _5_ = _11_

Answer:

The sum of 6 and 5 = 11.

In the above-given question,

given that,

the numbers are 6 and 5.

6 + 5 = 11.

the sum of 6 and 5 = 11.

### Addition and Subtraction Relationships Chapter 5 Review/Test

Question 1.

There are 2 dogs in the park. Some more dogs come. Now there are 9 in all. How many dogs come?

2 dogs __ come 9 dogs in all

Answer:

The number of dogs comes = 7.

Explanation:

In the above-given question,

given that,

There are 2 dogs in the park.

some more dogs come.

Now there are 9 in all.

2 + 7 = 9.

The number of dogs comes = 7.

Question 2.

Which fact is a related fact?

Answer:

The difference of 8 and 3 = 5.

In the above-given question,

given that,

the numbers are 8 and 3.

8 – 3 = 5.

the difference of 8 and 3 = 5.

Question 3.

Look at the facts. Are they related facts? Choose Yes or No.

Answer:

Yes, the number is a related fact.

Explanation:

In the above-given question,

given that,

the numbers are 14 – 6 = 8.

8 + 6 = 14.

the number is a related fact.

Question 4.

Tom sees 12 bees. Then 7 bees fly away. How many bees does he see now? Write a number sentence to solve. Then write an addition sentence to check.

Answer:

The number of bees now = 5.

Explanation:

In the above-given question,

given that,

Tom sees 12 bees.

Then 7 bees fly away.

12 – 7 = 5.

The number of bees now = 5.

Question 5.

**THINK SMARTER**

Use to find the unknown numbers. Write the numbers.

6 + _10_ = 16

16 – 6 = _10_

Answer:

The sum of 6 and 10 = 16.

Explanation:

In the above-given question,

given that,

the numbers are 6 and 10.

6 + 10 = 16.

the sum of 6 and 10 = 16.

Answer:

The difference of 16 and 6 = 10.

Explanation:

In the above-given question,

given that,

the numbers are 16 and 6.

16 – 6 = 10.

the difference of 16 and 6 = 10.

Question 6.

Which is the unknown number in these related facts?

Answer:

The unknown number = 9.

Explanation:

In the above-given question,

given that,

the numbers are 9 + 4 = 13.

13 – 4 = 9.

4 + 9 = 13.

13 – 9 = 4.

so the unknown number is 9.

Question 7.

Joe has 7 blue marbles. A friend gives him 6 red marbles. How many marbles does Joe have now? Draw a picture to show your work.

Joe has _13_ marbles.

Answer:

The number of marbles Joe has = 13.

Explanation:

In the above-given question,

given that,

Joe has 7 blue marbles.

A friend gives him 6 red marbles.

7 + 6 = 13.

The number of marbles Joe has = 13.

Question 8.

Choose all the ways that make 12.

Answer:

The numbers are = 4 + 8 and 5 + 5 + 2.

Explanation:

In the above-given question,

given that,

the numbers are

4 + 8 = 12.

5 + 5 + 5 = 12.

The numbers are = 4 + 8 and 5 + 5 + 2.

Question 9.

Is the math sentence true? Choose Yes or No.

Answer:

The numbers are true = 9 = 6 + 3.

Explanation:

In the above-given question,

given that,

The sentences are 7 + 2 = 9 -2.

9 = 6 + 3.

5 + 4 = 4 + 5.

The numbers are true = 9 = 6 + 3.

Question 10.

Ann has 14 white socks. Bill has 6 white socks. How many more white socks does Ann have than Bill? Write or draw to show your work.

_8_ more white socks

Answer:

The number of socks does Ann has than Bill = 8.

Explanation:

In the above-given question,

given that,

Ann has 14 white socks.

Bill has 6 white socks.

The number of socks does Ann has than Bill = 8.

Question 11.

**GO DEEPER** Alma has 5 crayons. Her dad gives her 7 more crayons. How many crayons does she have now? Use a related fact to

check your answer.

Alma has _12_ crayons.

Write a related fact to check.

_12_ − _7_ = 5

Answer:

The number of crayons Alma has = 12.

Explanation:

In the above-given question,

given that,

Alma has 5 crayons.

Her dad gives her 7 more crayons.

5 + 7 = 12.

The number of crayons Alma has = 12.

Question 12.

Julia buys 12 books. She gives 9 books away. How many books does she have left?

_3_ books left

Answer:

The number of books Julia has left = 3.

Explanation:

In the above-given question,

given that,

Julia buys 12 books.

she gives 9 books away.

12 – 9 = 3.

The number of books Julia has left = 3.