We included **HMH Into Math Grade 3 Answer Key**** PDF** **Module 7 Lesson 7 Build Fluency with Multiplication and Division** to make students experts in learning maths.

## HMH Into Math Grade 3 Module 7 Lesson 7 Answer Key Build Fluency with Multiplication and Division

I Can use more than one strategy to recall multiplication and division facts to solve problems.

**Step It Out**

1. The students in Ms. Ray’s class can be seated in equal groups of 2s, 3s, or 4s. How many students could be in the class?

**Show equal groups of 2s, 3s, and 4s.**

A. Count by 2, 3, and 4. Look for a pattern. Circle the numbers that are the same in each set.

___________________________

___________________________

Answer:

The same numbers in each set are 12, 24.

Explanation:

The multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30.

The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30.

The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32.

So the same numbers in each set are 12, 24.

B. How many students could be in the class? ___________________________

Answer:

12 or 24 students.

Explanation:

The number of students could be in the class is 12 or 24.

**Turn and Talk** Could the students in Ms. Ray’s class be seated in equal groups of 6? How many groups would there be?

**Step it Out**

2. Many ladybugs have 7 spots. Kiara counts 42 spots on ladybugs on her porch. Each of the ladybugs Kiara sees has 7 spots. How many ladybugs are on Kiara’s porch?

Answer:

The number of ladybugs are on Kiara’s porch is 6 ladybugs.

Explanation:

As there are many ladybugs have 7 spots and Kiara counts 42 spots on ladybugs on her porch. As each of the ladybugs Kiara sees has 7 spots, so the number of ladybugs are on Kiara’s porch is 42 ÷ 7 which is 6 ladybugs.

A. What related equations can you write to solve the problem?

__________________________

Answer:

42 ÷ 7 = 6,

7 × 6 = 42.

Explanation:

The related equations will be 42 ÷ 7 which is 6 and 7 × 6 which is 42.

**Turn and Talk** How can you use multiplication to solve a division problem?

**Check Understanding Math Board**

**Multiply or divide.**

Question 1.

5 × 2 = ___

Answer:

5 × 2 = 10.

Explanation:

The multiplication of 5 × 2 is 10.

Question 2.

9 ÷ 9 = ___

Answer:

9 ÷ 9 = 1.

Explanation:

The division of 9 ÷ 9 is 1.

Question 3.

___ = 6 × 7

Answer:

56 = 6 × 7.

Explanation:

The multiplication of 6 × 7 is 56.

Question 4.

Answer:

16 ÷ 4 = 4.

Explanation:

The division of 16 ÷ 4 is 4.

Question 5.

___ = 8 × 3

Answer:

8 × 3 = 24.

Explanation:

The multiplication of 8 × 3 is 24.

Question 6.

Answer:

30 ÷ 5 = 6.

Explanation:

The division of 30 ÷ 5 is 6.

Question 7.

There are 5 lobes on a maple leaf. Mira collects some maple leaves. She counts 45 lobes. How many leaves does Mira collect?

Answer:

The number of leaves does Mira collected is 9 leaves.

Explanation:

Given that there are 5 lobes on a maple leaf and Mira collects some maple leaves as she counts 45 lobes which is 45 ÷ 5 = 9 leaves.

Question 8.

A pet store has 80 fish. If equal groups of fish are kept in 8 fish tanks, how many fish are in each tank? ________________

Answer:

The number of fish are in each tank is 10 fish.

Explanation:

Given that a pet store has 80 fish and if equal groups of fish are kept in 8 fish tanks. So the number of fish are in each tank is 80÷8 which is 10 fish.

**On Your Own**

Question 9.

**Model with Mathematics** A group of people have signed up for an ultimate flying disc event. Each team must have 7 members. If 56 people signed up, how many teams can be made? Write a multiplication equation and a division equation to model the problem.

Answer:

The division equation is 56÷7 = 8,

The multiplication equation is 7 × 8 = 56.

Explanation:

Given that each team must have 7 members and if 56 people signed up. The number of teams can be made is 56÷7 which is 8 people. And the multiplication equation will be 7 × 8 which is 56.

**Use Structure Complete the related facts.**

Question 10.

3 × __ = 6

6 ÷ __ = 3

Answer:

3 × 2 = 6

6 ÷ 2 = 3

Explanation:

Let the missing digit be X, so the equations will be 3 × X = 6 where X is

X = 6 ÷ 3

= 2.

Question 11.

7 × __ = 63

63 ÷ __ = 7

Answer:

7 × 9 = 63.

63 ÷ 9 = 7.

Explanation:

Let the missing digit be X, so the equations will be 7 × X = 63 where X is

X = 63 ÷ 7

= 9.

Question 12.

__ × 5 = 30

30 ÷ __ = 5

Answer:

6 × 5 = 30.

30 ÷ 6 = 5.

Explanation:

Let the missing digit be X, so the equations will be X × 5 = 30 where X is

X = 30 ÷ 5

= 6.

**Use Repeated Reasoning Multiply or divide.**

Question 13.

9 × 1 = ___

Answer:

9 × 1 = 9.

Explanation:

The multiplication of 9 × 1 is 9.

Question 14.

7 ÷ 7 = ___

Answer:

7 ÷ 7 = 1.

Explanation:

The division of 7 ÷ 7 is 1.

Question 15.

3 × 8 = ___

Answer:

3 × 8 = 24.

Explanation:

The multiplication of 3 × 8 is 24.

Question 16.

Answer:

6 ÷ 3 = 2.

Explanation:

The division of 6 ÷ 3 which is 2.

Question 17.

5 × 8 = ___

Answer:

5 × 8 = 40.

Explanation:

The multiplication of 5 × 8 is 40.

Question 18.

Answer:

49 ÷ 7 = 7.

Explanation:

The division of 49 ÷ 7 which is 7.

Question 19.

___ = 9 × 3

Answer:

9 × 3 = 27.

Explanation:

The multiplication of 9 × 3 is 27.

Question 20.

Answer:

16 ÷ 4 = 4.

Explanation:

The division of 16 ÷ 4 which is 4.

Question 21.

__ = 5 × 10

Answer:

50 = 5 × 10.

Explanation:

The multiplication of 5 × 10 is 50.

Question 22.

A model of an airplane shows 6 passenger seats in each row. How many passenger seats are in the first 10 rows of the model airplane? ________________

Answer:

The number of passengers in first 10 rows will be 60 passengers.

Explanation:

Given that a model of an airplane shows 6 passenger seats in each row. So for the first 10 rows of the model airplane the number of passengers will be 6×10 which is 60 passengers.

Question 23.

**Open Ended** Write and solve a word problem for 4 × 7.

________________

Answer:

**On Your Own**

Question 24.

There are 36 friends playing games at a picnic. If the group of friends is divided equally into 4 teams, how many friends are on each team?

Answer:

The number of friends in each team will be 9 friends.

Explanation:

Given that there are 36 friends playing games at a picnic and if the group of friends is divided equally into 4 teams. The number of friends in each team will be 36 ÷ 4 which is 9 friends.

**Use Structure Complete the related facts.**

Question 25.

5 × __ = 35

___ = 35 ÷ 5

Answer:

5 × 7 = 35,

7 = 35 ÷ 5.

Explanation:

Let the missing digit will be X, so the equation will be 5 × X = 35 where X is

X = 35 ÷ 5,

= 7.

Question 26.

___ × 9 = 27

27 ÷ 9 = ___

Answer:

3 × 9 = 27,

27 ÷ 9 = 3.

Explanation:

Let the missing digit will be X, so the equation will be X × 9 = 27 where X is

X = 27 ÷ 9,

= 3.

Question 27.

14 = 2 × __

14 ÷ ___ = 2

Answer:

14 = 2 × 7,

14 ÷ 7 = 2.

Explanation:

Let the missing digit will be X, so the equation will be 2 × X = 14 where X is

X = 14 ÷ 2,

X = 7.

Question 28.

16 = 4 × __

16 ÷ 4 = ____

Answer:

16 = 4 × 4,

16 ÷ 4 = 4.

Explanation:

Let the missing digit will be X, so the equation will be 16 = 4 × X where X is

X = 16 ÷ 4,

X = 4.

Question 29.

___ = 1 × 6

6 ÷ 1 = ____

Answer:

6 = 1 × 6,

6 ÷ 1 = 6.

Explanation:

Let the missing digit will be X, so the equation will be X = 1 × 6 where X is

X = 6.

And the division of 6 ÷ 1 is 6.

Question 30.

___ × 8 = 48

48 ÷ 8 = ___

Answer:

6 × 8 = 48,

48 ÷ 8 = 6.

Explanation:

Let the missing digit will be X, so the equation will be 48 = X × 8 where X is

X = 48 ÷ 8,

X = 6.

**Use Repeated Reasoning Multiply or divide.**

Question 31.

___ = 5 × 5

Answer:

5 × 5 = 25.

Explanation:

The multiplication of 5 × 5 is 25.

Question 32.

5 ÷ 5 = ___

Answer:

5 ÷ 5 = 1.

Explanation:

The division of 5 ÷ 5 is 1.

Question 33.

___ = 2 × 4

Answer:

2 × 4 = 8.

Explanation:

The multiplication of 2 × 4 is 8.

Question 34.

Answer:

28÷7 = 7.

Explanation:

The division of 28÷4 is 7.

Question 35.

___ = 9 × 8

Answer:

9 × 8 = 72.

Explanation:

The multiplication of 9 × 8 is 72.

Question 36.

Answer:

18÷3 = 6.

Explanation:

The division of 18÷3 is 6.

Question 37.

**Reason** A small school bus has 10 seats. Each seat fits 3 elementary school students or 2 high school students.

Answer:

Question 38.

**Health and Fitness** The United States Department of Agriculture suggests MyPlate as a guide for making healthy food choices. MyPlate recommends that third graders eat 5 ounces of protein each day. How many ounces of protein should third graders eat in a week?

Answer:

35 ounces.

Explanation:

Given that the third graders eat 5 ounces of protein each day and the number of ounces of protein should third graders eat in a week is 5×7 = 35 ounces.