We included **HMH Into Math Grade 3 Answer Key**** PDF** **Module 7 Lesson 6 Multiply and Divide with 7 and 9** to make students experts in learning maths.

## HMH Into Math Grade 3 Module 7 Lesson 6 Answer Key Multiply and Divide with 7 and 9

I Can use more than one strategy to solve multiplication and division problems with 7 and 9 as factors and divisors.

**Step It Out**

1. Write a multiplication or division problem about these shells.

**Show equal groups to solve your problem.**

Answer:

9 shells in each row.

Explanation:

Harry collected 63 shells. He arranged them in rows of 7. How many shells are in each row?

Answer:

The number of shells in each row is 63÷7 which is 9 shells.

What equation can you write to model and solve your problem?

Answer:

63÷7 = 9.

Explanation:

The equation to the model is 63÷7 = 9.

**Turn and Talk** How could you write a different equation for your problem?

**Step It Out**

2. Kay sorts the rocks in her collection by size. She makes 4 groups with 9 rocks in each group. How many rocks does Kay have in her collection?

Answer:

The number of rocks Kay has in her collection is 36 rocks.

Explanation:

Given that Kay sorts the rocks in her collection by size and she makes 4 groups with 9 rocks in each group. So the number of rocks Kay has in her collection is 4×9 which is 36 rocks.

How can you use properties to find 4 × 9?

A. Complete the array to represent the rock collection.

Answer:

The complete array is

B. To use the Distributive Property, draw a vertical line to break the array into two smaller arrays that show facts you know.

Answer:

In image was divided with a vertical line

C. Write equations for the smaller arrays.

4 × ___ = ___ 4 × __ = ___

Answer:

4 × 5 = 20,

4 × 4 = 16.

Explanation:

The equations for the smaller arrays is

4 × 5 = 20,

4 × 4 = 16.

D. Add the products. ___ + ___ = ___

Answer:

20+16 = 36.

Explanation:

The addition of the products is 20+16 which is 36.

E. Kay thinks about the Commutative Property and says that 9 × 4 = 36. How could this help you find 4 × 9?

F. How many rocks does Kay have in her collection? ____

Answer:

The number of rocks in her collection is 36 rocks.

**Turn and Talk** How could you use a multiplication fact you know and subtraction to find 4 × 9?

3. Mr. Lozano cuts a wooden board into 7 pieces. Each piece is the same length. How long is each piece?

Answer:

The length of the each piece is 5 inches.

Explanation:

Given that Mr. Lozano cuts a wooden board into 7 pieces and each piece is the same length. As the total length of the wooden board is 35 inches. So the length of the each piece is 35÷7 which is 5 inches.

How can you use a related fact to solve the equation?

A. What equation can you write to model the problem?

________________________

Answer:

35÷7 = 5.

Explanation:

The equation of the problem is 35÷7 = 5.

B. Write the related facts for the equation you wrote.

________________________

Answer:

35÷5 =7,

7×5 = 35,

5×7 = 35.

Explanation:

The related facts for the equation is 35÷5 =7, 7×5 = 35 and 5×7 = 35.

C. Solve one of the equations you wrote.

________________________

Answer:

35÷7 =5.

Explanation:

The equation is 35÷7 =5.

D. How long is each piece that Mr. Lozano cut?

________________________

Answer:

5 inches.

Explanation:

The length of each piece that Mr. Lozano cut is 5 inches.

**Turn and Talk** What is another way that you can find 35 ÷ 7?

**Check Understanding Math Board**

**Multiply or divide.**

Question 1.

72 ÷ 9 = ___

Answer:

72 ÷ 9 = 8.

Explanation:

The division of 72 ÷ 9 is 8.

Question 2.

__ = 7 × 3

Answer:

7 × 3 = 21.

Explanation:

The multiplication of 7 × 3 is 21.

Question 3.

Answer:

45 ÷ 9 = 5.

Explanation:

The division of 45 ÷ 9 is 5.

Question 4.

The 28 students in Van’s class are on a field trip to a cave. They are divided into groups of 7 for a tour of the cave. How many groups of students are there?

Answer:

There are 4 groups.

Explanation:

Given that there are 28 students in Van’s class are on a field trip to a cave and they are divided into groups of 7 for a tour of the cave. So the number of groups are 28÷7 which is 4 groups.

**On Your Own**

Question 5.

**Use Structure** Explain how you could break apart this array to find 6 × 7.

Answer:

**Use Repeated Reasoning Find the product.**

Question 6.

___ = 9 × 3

Answer:

9 × 3 = 27.

Explanation:

The multiplication of 9 × 3 is 27.

Question 7.

2 × 7 = __

Answer:

2 × 7 = 14.

Explanation:

The multiplication of 2 × 7 is 14.

Question 8.

___ = 5 × 9

Answer:

5 × 9 = 45.

Explanation:

The multiplication of 5 × 9 is 45.

Question 9.

7 × 8 = ___

Answer:

7 × 8 = 56.

Explanation:

The multiplication of 7 × 8 is 56.

Question 10.

__ = 9 × 7

Answer:

9 × 7 = 63.

Explanation:

The multiplication of 9 × 7 is 63.

Question 11.

7 × 7 = ___

Answer:

7 × 7 = 49.

Explanation:

The multiplication of 7 × 7 is 49.

Question 12.

Answer:

4 × 7 = 28.

Explanation:

The multiplication of 4 × 7 is 28.

Question 13.

Answer:

10 × 7 = 70.

Explanation:

The multiplication of 10 × 7 is 70.

Question 14.

Answer:

9 × 9 = 81.

Explanation:

The multiplication of 9 × 9 is 81.

Question 15.

Answer:

9 × 8 = 72.

Explanation:

The multiplication of 9 × 8 is 72.

Question 16.

Answer:

7 × 9 = 63.

Explanation:

The multiplication of 7 × 9 is 63.

Question 17.

Answer:

7 × 1 = 7.

Explanation:

The multiplication of 7 × 1 is 7.

Question 18.

Answer:

9 × 6 = 54.

Explanation:

The multiplication of 9 × 6 is 54.

Question 19.

Answer:

7 × 5 = 35.

Explanation:

The multiplication of 7 × 5 is 35.

Question 20.

Answer:

10 × 9 = 90.

Explanation:

The multiplication of 10 × 9 is 90.

Question 21.

Clara rides her bike 7 miles a day for 5 days. How many miles does she ride her bike?

Answer:

The number of miles does she ride her bike is 35 miles.

Explanation:

Given that Clara rides her bike 7 miles a day for 5 days. So the number of miles does she ride her bike is 7×5 which is 35 miles.

Question 22.

**Model with Mathematics** There are 21 days until Jaden and Elena go on vacation with their family. Jaden divides to find the number of weeks. Elena multiplies. What equations could Jaden and Elena write to model their thinking?

Answer:

The number of weeks will be 3 weeks.

Explanation:

Given that there are 21 days until Jaden and Elena go on vacation with their family and Jaden divides to find the number of weeks and Elena multiplies. So the equation for Jaden is 21÷7 which is 7 and Elena equation will be 7 ×3 which is 21.

**Use Structure Complete the related facts.**

Question 23.

9 × __ = 27

Answer:

9 × 3 = 27,

3 × 9 = 27,

27 ÷ 9 = 3,

27 ÷ 3 = 9.

Explanation:

Let the missing digit be X and the equation will be 9 × X = 27. So X is

27 ÷ 9 = X,

3 = X.

And the related equations are 3 × 9 = 27, 27 ÷ 9 = 3 and 27 ÷ 3 = 9.

Question 24.

49 = 7 × ___

49 ÷ 7 = ___

Answer:

7 × 7 = 49,

49 ÷ 7 = 7.

Explanation:

Let the missing digit be X and the equation will be 7 × X = 49. So X is

49 ÷ 7 = 7,

7 = X.

And the related equations are 7 × 7 = 49 and 49 ÷ 7 = 7.

Question 25.

10 × ___ = 70

70 ÷ 10 = ___

Answer:

10 × 7 = 70,

70 ÷ 10 = 70.

Explanation:

Let the missing digit be X and the equation will be 10 × X = 70. So X is

70 ÷ 10 = 7,

7 = X.

And the related equations are 10 × 7 = 70 and 70 ÷ 10 = 7.

**Use Repeated Reasoning Find the quotient.**

Question 26.

___ = 63 ÷ 7

Answer:

Question 27.

72 ÷ 9 = ___

Answer:

72 ÷ 9 = 8.

Explanation:

The division of 72 ÷ 9 is 8.

Question 28.

__ = 28 ÷ 4

Answer:

28 ÷ 4 = 7.

Explanation:

The division of 28 ÷ 4 is 7.

Question 29.

81 ÷ 9 = ___

Answer:

81 ÷ 9 = 9.

Explanation:

The division of 81 ÷ 9 is 9.

Question 30.

___ = 35 ÷ 5

Answer:

35 ÷ 5 = 7.

Explanation:

The division of 35 ÷ 5 is 7.

Question 31.

63 ÷ 9 = ___

Answer:

63 ÷ 9 = 7.

Explanation:

The division of 63 ÷ 9 is 7.

Question 32.

Answer:

14 ÷ 7 = 2.

Explanation:

The division of 14 ÷ 7 is 2.

Question 33.

Answer:

36 ÷ 9 = 4.

Explanation:

The division of 36 ÷ 9 is 4.

Question 34.

Answer:

18 ÷ 2 = 9.

Explanation:

The division of 18 ÷ 2 is 9.

Question 35.

Answer:

90 ÷ 9 = 10.

Explanation:

The division of 90 ÷ 9 is 10.

Question 36.

Answer:

42 ÷ 7 = 6.

Explanation:

The division of 42 ÷ 7 is 6.

Question 37.

Answer:

54 ÷ 9 = 6.

Explanation:

The division of 54 ÷ 9 is 6.

Question 38.

Answer:

49 ÷ 7 = 7.

Explanation:

The division of 49 ÷ 7 is 7.

Question 39.

Answer:

27 ÷ 3 = 9.

Explanation:

The division of 27÷ 3 is 9.

Question 40.

Answer:

70 ÷ 10 = 7.

Explanation:

The division of 70 ÷ 10 is 7.

Question 41.

Anna has a piece of ribbon that is 63 inches long. She cuts the ribbon into pieces that are each 9 inches long. How many pieces does Anna cut?

Answer:

The number of pieces does Anna cut the ribbon is 7 pieces.

Explanation:

Given that Anna has a piece of ribbon that is 63 inches long and she cuts the ribbon into pieces that are each 9 inches long. The number of pieces does Anna cut the ribbon is 63÷9 which is 7 pieces.

**On Your Own**

Question 42.

**Use Tools** Write a word problem for this model.

Answer:

Question 43.

There are 9 innings in a baseball game. Mai bats once in each inning in the first 6 games of this season. How many times has Mai been at bat in these 6 games?

Answer:

The number of times has Mai been at bat in these 6 games is 54 times.

Explanation:

Given that there are 9 innings in a baseball game and Mai bats once in each inning in the first 6 games of this season. The number of times has Mai been at bat in these 6 games is 9×6 which is 54 times.

Question 44.

At a baseball game, each member of the Chapman family orders a hot dog and a bottle of water. The cost of the order is $35. How many people are in the Chapman family?

Answer:

The number of people are in the Chapman family is 5 people.

Explanation:

Given that at a baseball game, each member of the Chapman family orders a hot dog and a bottle of water and the cost of the order is $35. So the number of people are in the Chapman family is 35÷7 which is 5 people.

Question 45.

At summer camp, 29 eight-year-olds and 25 nine-year-olds sign up to play baseball. The children are divided into teams with 9 players on each team. How many teams are there?

Answer:

The number of teams are 6 teams.

Explanation:

Given that at summer camp, 29 eight-year-olds and 25 nine-year-olds sign up to play baseball and the children are divided into teams with 9 players on each team. So the number of teams are 29+25 which is 54÷9 = 6 teams.

Question 46.

**Reason** Tickets to a baseball game are $9 for adults and $7 for children. The answer to this problem is $42. Write a question for this problem.

Answer:

Given that tickets to a baseball game are $9 for adults and $7 for children. As there are 6 children went for the game. So the cost of the tickets is $7×6 which is $42.