We included **HMH Into Math Grade 3 Answer Key**** PDF** **Module 7 Lesson 2 Write Related Facts** to make students experts in learning maths.

## HMH Into Math Grade 3 Module 7 Lesson 2 Answer Key Write Related Facts

I Can write related multiplication and division equations to solve problems.

**Spark Your Learning**

Jasper grows these watermelons.

**Write a multiplication problem and a division problem about Jasper’s watermelons.**

**Show equal groups to solve.**

Answer:

4×3 = 12,

12÷4 = 3.

Explanation:

The multiplication and the division equation is 4×3 = 12 and 12÷4 = 3.

**Turn and Talk** What equations can you write to model the problems you wrote about Jasper’s watermelons?

Answer:

12÷4 = 3 and 4×3 = 12.

Explanation:

The equations are 12÷4 = 3 and 4×3 = 12.

**Build Understanding**

1. A grocery store arranges apples in a display. How can you use multiplication and division to represent the apples in the display?

**Show equal groups.**

A. How many groups of apples are there? How many apples are in each group?

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Answer:

5 groups of apples with 4 apples in each group.

Explanation:

There are 5 groups of apples and 4 apples in each group are there.

**Connect to Vocabulary**

Related facts are a set of related multiplication and division equations.

B. What multiplication equation can you write to show how many apples are in the display? ________

Answer:

5×4 = 20

Explanation:

The multiplication equation is 5×4 = 20 apples.

C. What division fact related to your multiplication fact can you write to show the number of equal groups? __________

Answer:

20÷5 = 4.

Explanation:

The division fact that is related to the multiplication fact to show the number of equal groups is 20÷5 = 4.

D. How do you use the numbers in a multiplication equation to write the related division equation?

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Answer:

5×4 = 20,

20÷5 = 4.

Explanation:

The multiplication equation is 5×4 = 20 and the division equation is 20÷5 = 4.

**Turn and Talk** How do you know if a multiplication fact is related to a division fact?

**Step It Out**

2. What are the related facts for 5, 6, and 30?

A. Use 30 tiles to make an array. Shade the area model to show your array.

Answer:

B. What two multiplication equations can you write for your array? ________

Answer:

5×6 = 30,

6×5 = 30.

Explanation:

The two multiplication equations that can write for an array are 5×6 = 30 and 6×5 = 30.

C. What two division equations can you write for your array? ______

Answer:

30÷6 =5,

30÷5 =6.

Explanation:

The two division equations are 30÷6 =5 and 30÷5 =6.

**Turn and Talk** What is the greatest number of multiplication and division facts that can be written for a set of numbers? What is the least? Give examples.

**Check Understanding Math Board**

Question 1.

A garden store has 48 flower plants arranged in 6 equal rows. Write an equation to show how many plants are in each row. Then write a related fact.

Answer:

48÷6 = 8,

48÷8 = 6,

6×8 = 48,

8×6 = 48.

Explanation:

Given that a garden store has 48 flower plants arranged in 6 equal rows. So the equation will be 48÷6 = 8 and 48 ÷8 = 6. And the multiplication equation will be 6×8 = 48 and 8×6 = 48.

Question 2.

What are the related facts for 4, 7, and 28?

Answer:

4×7 = 28,

7×4 =28,

28÷7 =4,

28÷4 =7.

Explanation:

The related facts are 4×7 = 28, 7×4 =28 and 28÷7 =4 and 28÷4 = 7.

**On Your Own**

Question 3.

**Model with Mathematics** There are 9 stacks of 5 trays in a cafeteria. What multiplication equation represents the number of trays? ____

Answer:

9×5 = 45,

5×9 = 45,

45÷9 = 5,

45÷5 = 9.

Explanation:

Given that there are 9 stacks of 5 trays in a cafeteria. So the multiplication equation will be 9×5 = 45, 5×9 = 45, and the division equations will be 45÷9 = 5, 45÷5 = 9.

Write a related division equation. _____

Answer:

45÷9 = 5, 45÷5 = 9.

Explanation:

The related division equations are 45÷9 = 5, 45÷5 = 9.

**Write the related facts for the set of numbers.**

Question 4.

3, 5, 15

__ ÷ ___ = ___

___ × ____ = ___

__ ÷ ___ = ___

___ × ____ = ___

Answer:

15 ÷ 5 = 3,

5 × 3 = 15,

15 ÷ 3 = 5,

3 × 5 = 15.

Explanation:

The related facts for the set of given numbers are

15 ÷ 5 = 3,

5 × 3 = 15,

15 ÷ 3 = 5,

3 × 5 = 15.

Question 5.

2, 9, 18

__ ÷ ___ = ___

___ × ____ = ___

__ ÷ ___ = ___

___ × ____ = ___

Answer:

18 ÷ 9 = 2,

9 × 2 = 18,

18 ÷ 2 = 9,

2 × 9 = 18.

Explanation:

The related facts for the set of given numbers are

18 ÷ 9 = 2,

9 × 2 = 18,

18 ÷ 2 = 9,

2 × 9 = 18.

Question 6.

**Reason** What do you notice about the product and the dividend in a set of related facts? Give an example.

Answer:

Question 7.

**Use Structure** How many related facts does the set of numbers 7, 7, 49 have? Explain your answer.

Answer:

49 ÷ 7 = 7,

7 × 7 = 49.

Explanation:

The related facts for the set of given numbers are

49 ÷ 7 = 7,

7 × 7 = 49.

**I’m in a Learning Mindset!**

How did I organize my learning when writing related facts?

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