We included **HMH Into Math Grade 3 Answer Key**** PDF** **Module 7 Lesson 4 Multiply and Divide with 5 and 10** to make students experts in learning maths.

## HMH Into Math Grade 3 Module 7 Lesson 4 Answer Key Multiply and Divide with 5 and 10

I Can use more than one strategy to solve multiplication and division problems with 5 and 10 as factors and divisors.

**Step It Out**

1. A bowling alley cart has 50 bowling balls. There is an equal number of yellow, orange, blue, green, and pink balls. Mona wants to group the balls by color. How many balls are there in each color group?

A. Show equal groups.

B. Write an equation to model the problem.

____________________

C. How many bowling balls are in each color group?

____________________

**Turn and Talk** What related equation can you write to model the problem?

**Step It Out**

2. A trophy case at a bowling alley has 5 shelves. Each shelf has the same number of trophies. There are 30 trophies in the case. How many trophies are on each shelf?

A. Count by 5s. How do you know how many times to count?

0, _______________

___________________

Answer:

There should be six 5s in each shelves.

Explanation:

The number of trophies on each shelf is six.

Therefore the number of 5s in each shelves are six.

B. How many times did you count by 5s? ________

Answer:

6 times

Explanation:

The number of times we can count the trophies by 5s is 6 times.

C. Write a division equation to model the problem. How many trophies are on each shelf?

__________________

Answer:

30 ÷ 5, 6

Explanation:

The division equation to model the problem is 30 ÷ 5. And the nunber if trophies are on each shelf is 6.

**Turn and Talk** How can you make an array or shade an area model to represent the problem? Compare your representation with your partner’s representation.

3. A bowling league has 40 players. Each team has 5 players. How many teams are there?

Answer:

8 teams.

Explanation:

There are 8 players in each team.

There are 40 players.

Each team has 5 players

The number of teams are \(\frac{40}{5}\)

8 teams.

Write related facts to solve.

A. Write a division equation to model the problem.

Answer:

B. Write a multiplication equation to model the problem.

Answer:

C. How many teams are there? ___________

Answer:

8 teams.

Explanation:

There are 8 teams in the bowling league.

4. Gutter Alley has 70 bowling pins. Each lane has the number of pins shown. How many lanes are there?

Answer:

7 lanes.

Explanation:

Alley has 70 bowling pins.

Each lane has 10 pins.

Hence there are 7 lanes.

A. Count by the number of pins in each lane. How many times did you count?

0, _________

Answer:

4 times

Explanation:

We have counted 4 times for measuring the number of pins in each lane.

B. How many lanes are there? ________

Answer:

There are 7 lanes.

5. A bowling lane is 60 feet long. Gutter Alley uses pieces of wood that are each 10 feet long to build a lane. How many pieces of wood does Gutter Alley use to build a lane?

A. Use repeated subtraction. Start with 60 feet. Subtract 10 feet until you reach 0.

B. How many times did you subtract 10? ____

C. How many pieces of wood does Gutter Alley use to build a lane? _________________

**Check Understanding Math Board**

**Multiply or divide.**

Question 1.

5 × 9 = __

Answer:

45

Explanation:

Let us solve the given question.

Assume the box as x.

x = 5 × 9

x = 45

Question 2.

___ = 80 ÷ 10

Answer:

8

Explanation:

Let us solve the given question.

Assume the box as x.

x = \(\frac{80}{10}\)

x = 8

Question 3.

15 ÷ 5 = ___

Answer:

3

Explanation:

Let us solve the given question.

Assume the box as x.

x = \(\frac{15}{5}\)

x = 3

Question 4.

A bowling league has 50 players. There are 10 equal teams. How many players are on each team? _________

Answer:

5 players are on each team.

Explanation:

Let us solve the given question.

There are 50 players in the bowling league.

There are 10 equal teams.

Now we need to calculate the number of players on each team is \(\frac{50}{10}\)

= 5 players are on each team.

**On Your Own**

Question 5.

Ananda writes 5 pages in her journal each day. She writes a total of 25 pages. How many days

does Ananda write? __________

Answer:

5 days.

Explanation:

Each day Ananda writes 5 pages

In total she wrote 25 pages.

Each day = 5

let us assume the days ananda wrote is \(\frac{25}{5}\)

= 5 days

**Use Repeated Reasoning Multiply or divide.**

Question 6.

___ = 10 × 3

Answer:

30

Explanation:

Let us solve the given question.

Assume the box as x.

x = 10 × 3

x = 30.

Question 7.

5 × 2 = ___

Answer:

10.

Explanation:

Let us solve the given question.

Assume the given box as x.

x = 5 × 2

x = 10.

Question 8.

___ = 90 ÷ 10

Answer:

9

Explanation:

Let us solve the given question.

Assume the box as x.

x = \(\frac{90}{10}\)

x = 9

Question 9.

Answer:

4

Explanation:

Let us solve the given question.

Question 10.

Answer:

6

Explanation:

Question 11.

10 × 7 = ___

Answer:

70

Explanation:

Let us solve the given question.

Assume the box as x.

10 × 7 = x

x = 70

Question 12.

**Critique Reasoning** Marco has 40 photos. He wants to make a poster with equal rows of photos. He says he will have more rows if he puts 5 photos in each row than if he puts 10 photos in each row. Is he correct? Explain.

Answer:

Question 13.

Ronan has 35 inches of cord for making bracelets. He cuts the cord into 5 equal pieces. How long is each piece of cord? ________

Answer:

7 inches long piece of cord.

Explanation:

The cord was cut into 5 equal pieces.

And Rohan has 35 inches of cord.

Therefore the piece of cord he had is \(\frac{35}5}\)

= 7 inches long piece of cord.

Question 14.

**Reason** Explain how repeated subtraction is like counting equal groups.

Answer:

Question 15.

**Open Ended** Write and solve a word problem for 30 ÷ 5.

Answer:

6

Explanation:

x = \(\frac{30}{5}\)

x = 6

**Use Repeated Reasoning Write the unknown number.**

Question16.

5 ×

= ___

Answer:

0

Explanation:

Let us solve the given question.

5 × x = 0

x = 0

Question 17.

50 ÷ 10 =

= ___

Answer:

5

Explanation:

Let us solve the given question.

50 ÷ 10 = x

x = 5

Question 18.

15 = 5 ×

= ___

Answer:

Let us solve the given question.

15 = 5 × x

15 = 5x

x = \(\frac{15}{5}\)

x = 3

Question 19.

= 40 ÷ 5

= ___

Answer:

8

Explanation:

Let us solve the given question.

x = 40 ÷ 5

x = 8

Question 20.

10 × = 90

= ___

Answer:

9

Explanation:

10 × x = 90

x = \(\frac{90}{10}\)

x = 9

Question 21.

100 ÷ 10 =

= ___

Answer:

10

Explanation:

Let us solve the given question.

100 ÷ 10 = x

x = 10

Question 22.

× 5 = 20

= ___

Answer:

4

Explanation:

Let us solve the given question.

x × 5 =20

x = \(\frac{20}{5}\)

x = 4

Question 23.

= 30 ÷ 3

= ___

Answer:

10

Explanation:

Let us solve the given expression.

x = \(\frac{30}{3\)

x = 10

Question 24.

60 ÷ 10 =

= ___

Answer:

x = 6

Explanation:

Let us solve the given expression.

60 ÷ 10 = x

x = 6

Question 25.

There are 45 seats in one section of a theater. Each row has 5 seats. How many rows are in this section?

Answer:

9 rows are in the section.

Explanation:

There are 45 seats in one section of a theater.

And each row has 5 seats.

The rows are in each section is \(\frac{45}{5}\).

9 rows are in the section.

Question 26.

Amos sorts 90 DVDs into groups with 10 DVDs in each group. How many groups are there?

Answer:

9 groups.

Explanation:

let us solve the given question.

Each group = 10 DVDs

How many groups are there for 90 DVDs

1 group = 10 DVDs

x = 90 DVDs

x = \(\frac{90}{10}\)

x = 9 groups.

Question 27.

**Use Structure** How can you use a multiplication fact to find 40 ÷ 5?

Answer:

**On Your Own**

Question 28.

**Open Ended** Write a word problem that can be solved by multiplying with 10. Then change the word problem to be a division problem.

Answer:

**Use Structure Complete the related facts.**

Question 29.

5 × ___ = 25

25 ÷ 5 = ___

Answer:

5, 5

Explanation:

Let us solve the given expression.

Let us assume the given box is x.

5 × x = 25

x = \(\frac{25}{5}\)

x = 5

25 ÷ 5 = x

x = 5.

Question 30.

10 × ___ = 30

30 ÷ 10 = ___

Answer:

3, 3

Explanation:

Let us solve the given expression.

Let us assume the given box is x.

10 × x = 30

10x = 30

x = \(\frac{30}{10}\)

x = 3

30 ÷ 10 = x

x = 3

Question 31.

5 × ___ = 20

20 ÷ 5 = ___

Answer:

4, 4

Explanation:

Let us solve the given expression.

Let us assume the given box is x.

5 × x = 20

x = \(\frac{20}{5}\)

Question 32.

15 ÷ ___ = 5

__ × 5 = 15

Answer:

3, 3

Explanation:

Let us solve the given expression.

Let us assume the given box is x.

\(\frac{15}{x}\) = 5

15 = 5×x

x = 3

x × 5 = 15

x = \(\frac{15}{5}\)

Question 33.

30 = ___ × 5

__ = 30 ÷ 6

Answer:

6, 5

Explanation:

Let us solve the given expression.

Let us assume the given box is x.

30 = x × 5

x = \(\frac{30}{5}\)

x = 6

Question 34.

40 = 4 × ___

4 = 40 ÷ ___

Answer:

10, 10

Explanation:

Let us solve the given expression.

Let us assume the given box is x.

40 = 4 × x

40 = 4x

x = \(\frac{40}{4}\)

x = 10

Question 35.

Manny packs 40 dog treats into small bags. Each bag has 10 treats. How many bags does Manny pack?____________

Answer:

Question 36.

**Reason** Ms. Ruiz uses a paper cutter to cut a sheet of paper into 10-inch long pieces. She cuts the paper into 7 pieces. How long was the sheet of paper?

Answer:

Question 37.

**Attend to Precision** Explain how you know when to multiply or divide to solve a problem.

Answer: