We included **HMH Into Math Grade 3 Answer Key**** PDF** **Module 8 Lesson 3 Use Multiplication and Division to Solve Problem Situations** to make students experts in learning maths.

## HMH Into Math Grade 3 Module 8 Lesson 3 Answer Key Use Multiplication and Division to Solve Problem Situations

I Can represent and solve problems using multiplication and division and unknown numbers.

**Step It Out**

1. At ABC Sports Camp, Coach Hall places 35 players on 5 equal teams. How many players are on each team?

A. Write the numbers you know. Use n for the unknown number.

Total number of players: ___

Number of equal teams: ____

Number of players on each team: ____

Answer:

Total number of players: 35,

The number of equal teams: 5,

The number of players on each team: 7 players.

Explanation:

Given that a coach hall places 35 players on 5 equal teams. So the number of players in each team is 35÷5 which is 7 players.

B. You can use a bar model and write a multiplication equation to represent the problem. Use n for the unknown number.

Answer:

5×7 = 35.

Explanation:

Represented in a bar model and the multiplication equation is 5×7 = 35.

C. What amount is n equal to? n = ___.

Think: 5 times what number equals 35?

Answer:

n=7.

Explanation:

Here, the amount n is equal to 7. Like 5 times the number 7 is equal to 35.

D. There are ___ players on each team.

Answer:

There are 7 players on each team.

**Turn and Talk** What is a different equation you can use to solve the problem and check the

reasonableness of your answer?

**Step It Out**

2. At another sports camp, each team uses 6 basketballs for practice. If 48 basketballs are used, how many teams are there?

Answer:

The number of teams are 8 teams.

Explanation:

Given that each team uses 6 basketballs for practice and if 48 basketballs are used, the number of teams will be 48÷6 = 8 teams.

A. Write the numbers you know. Use t for the unknown number. Then complete the bar model. Total number of basketballs: ___

Number of teams: ____

Number of basketballs per team: ___

Answer:

Number of teams: 8 teams,

Number of basketballs per team: 6 basketballs.

Explanation:

Given that each team uses 6 basketballs for practice and if 48 basketballs are used, the number of teams will be 48÷6 = t teams. So t = 8 which is 8 teams.

B. You can use a bar model and write a division equation to represent the problem. Use t for the unknown number. ____ ÷ t = ____

Answer:

48÷t = 6.

Explanation:

The division equation to represent the problem is 48÷t = 6, so t = 48÷6 which is 8.

C. What amount is t equal to? t = _____

Think: 48 divided by what number equals 6?

Answer:

t = 8.

Explanation:

The amount that is equals to t is 8. As 48÷8 = 6.

D. There are ___ basketball teams.

Answer:

There are 8 basketball teams.

**Turn and Talk** How can you rewrite the problem so that the unknown is the number in each group?

**Check Understanding Math Board**

Question 1.

Jaime arranges 32 action figures into rows. Each row has 8 figures. How many rows of figures are there?

Answer:

There are 4 rows of figures.

Explanation:

Given that Jaime arranges 32 action figures into rows and each row has 8 figures. So the number of rows of figures are 32÷8 which is 4. So there are 4 rows of figures.

**Find the value of the unknown number.**

Question 2.

5 × g = 30

g = ___

Answer:

g = 6.

Explanation:

Given the equation is 5 × g = 30 where g is

g = 30÷5

= 6.

Question 3.

b ÷ 4 = 7

b = ___

Answer:

b =28.

\(\frac{7}{4}\)

Explanation:

Given the equation is b ÷ 4 = 7 where b is

b = 7×4

= 28.

Question 4.

9 = z ÷ 4

z = ___

Answer:

z = 36.

Explanation:

Given the equation is 9 = z ÷ 4 where z is

z = 9×4

= 36.

**On Your Own**

**Model with Mathematics** **Write an equation. Use the letter n for the unknown number. Solve.**

Question 5.

A chef plans to arrange 20 small sandwiches in 4 rows. Each row will have the same number of sandwiches. How many sandwiches will be in each row?

n = ____

Answer:

The number of sandwiches will be in each row is 5 sandwiches.

Explanation:

Given that a chef plans to arrange 20 small sandwiches in 4 rows and each row will have the same number of sandwiches. So the number of sandwiches will be in each row is 20÷4 which is 5 sandwiches.

Question 6.

Symara has 54 inches of yarn for a project. She cuts the yarn into 6 pieces of equal length. How long is each piece?

______________

n = _____

Answer:

The length of each piece is 9 inches.

Explanation:

Given that Symara has 54 inches of yarn for a project and she cuts the yarn into 6 pieces of equal length. So the length of each piece is 54 ÷ 6 which is 9 inches.

Question 7.

Shari places 24 tiles into 3 rows on a wall. Each row has the same number of tiles. How many tiles are in each row?

__________

n = _____

Answer:

The number of tiles are in each row is 8 tiles.

Explanation:

Given that Shari places 24 tiles into 3 rows on a wall and each row has the same number of tiles. So the number of tiles are in each row is 24÷3 which is 8 tiles.

**Find the value of the unknown number.**

Question 8.

5 × a = 25

a = ___

Answer:

a = 5.

Explanation:

Given the equation is 5 × a = 25 where a is

a = 25÷5

= 5.

Question 9.

e ÷ 8 = 2

e = ____

Answer:

e = 16.

Explanation:

Given the equation is e ÷ 8 = 2 where e is

e = 2×8

= 16.

Question 10.

12 = c × 3

c = ____

Answer:

c = 4.

Explanation:

Given the equation is 12 = c × 3 where c is

c = 12÷3

= 4.

Question 11.

42 = w × 6

w = ___

Answer:

w = 7.

Explanation:

Given the equation is 42 = w × 6 where w is

w = 42÷6

= 7.

Question 12.

63 ÷ k = 7

k = ___

Answer:

k = 9.

Explanation:

Given the equation is 63 ÷ k = 7 where k is

k = 63÷7

= 9.

Question 13.

9 × j = 72

j = ___

Answer:

j = 8.

Explanation:

Given the equation is 9 × j = 72 where j is

j = 72÷9

= 8.

Question 14.

3 = 18 ÷ h

h = ___

Answer:

h = 6.

Explanation:

Given the equation is 3 = 18 ÷ h where h is

h = 18÷3

= 6.

Question 15.

d = 30 ÷ 6

d = ___

Answer:

d = 5.

Explanation:

Given the equation is d = 30 ÷ 6 where d is

d = 5.

Question 16.

7 = m ÷ 2

m = ___

Answer:

m = 14.

Explanation:

Given the equation is 7 = m ÷ 2 where m is

m = 7×2

= 14.

**On Your Own**

Question 17.

**Social Studies** The state of Iowa was the largest producer of corn in the United States in 2016. In April, a farmer plants 9 acres of corn. In October, the farmer harvests 6 tons of corn from each acre. How many tons of corn does the farmer harvest? Use t to represent the unknown number.

Multiplication equation: ____

Division equation: _____

t = ____

- Explain how you know what t is equal to.

____________________

____________________

Answer:

t =54,

Multiplication equation: 9×6 = 54,

Division equation: 54÷9 = 6.

Explanation:

Given that a farmer plants 9 acres of corn and in October, the farmer harvests 6 tons of corn from each acre. So the number of acres did the farmer harvest be t, so 9×6 = t where t is 54 tons. The multiplication equation is 9×6 = 54 and the division equation is 54÷9 = 6.

Question 18.

**Model with Mathematics** Jack runs 21 miles each week. He runs 7 days each week. He runs the same number of miles each day. How many miles does Jack run each day? Use n to represent the unknown number.

Multiplication equation: ____________

Division equation: ____________

n = _____________

- How many miles does Jack run each day? __________

Answer:

Jack run 3 miles each day.

Explanation:

Given that Jack runs 21 miles each week and he runs 7 days each week which is 21÷7 = n where n is 3. So Jack runs 3 miles each day. The multiplication equation is 7×3 = 21 and the division equation is 21÷7 = 3.

Question 19.

**Open Ended** Write a word problem with an unknown number. Write an equation to represent the problem and then solve. ___________

Answer: