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

**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.

### Lesson 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.

### Algebra • 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.