We included **HMH Into Math Grade 3 Answer Key**** PDF** **Module 7 Lesson 5 Multiply and Divide with 3 and 6** to make students experts in learning maths.

## HMH Into Math Grade 3 Module 7 Lesson 5 Answer Key Multiply and Divide with 3 and 6

I Can use more than one strategy to solve multiplication and division problems with 3 and 6 as factors and divisors.

**Step It Out**

1. Matt and Anna are building a model bridge. They use 18 craft sticks to make triangles for the sides of the bridge. How many triangles can Matt and Anna make?

Answer:

Matt and Anna make 6 triangles.

Explanation:

Given that Matt and Anna use 18 craft sticks to make triangles for the sides of the bridge. So the number of triangles can Matt and Anna make is 18÷3 which is 6 triangles. As each triangle requires 3 sticks.

**Show equal groups.**

Answer:

A. Write an equation to model the problem.

__________________

Answer:

18÷3 = 6.

Explanation:

The equation to model the problem is 18÷3 = 6.

B. How many triangles can Matt and Anna make?

__________________

Answer:

6 triangles.

Explanation:

Matt and Anna make 6 triangles.

**Turn and Talk** How could you write a different equation to model the problem?

**Step It Out**

2. Malik has 24 basketballs. He puts the basketballs into sports bags. Each bag holds 3 basketballs. How many sports bags does Malik fill?

Answer:

The number of sports bags Malik fill is 8 sports bags.

Explanation:

Given that Malik has 24 basketballs and he puts the basketballs into sports bags and each bag holds 3 basketballs. So the number of sports bags Malik fill is 24÷3 which is 8 sports bags.

A. Start at 24 and count back using equal groups of 3. Complete the jumps on the number line.

Count the jumps.

Answer:

B. Write an equation to model the problem.

_______________________

Answer:

24÷3 = 3.

Explanation:

The equation will be 24÷3 which is 8.

C. How many sports bags does Malik fill?

_______________________

Answer:

Malik fills is 8 bags.

Explanation:

The number of sports bags Malik fills is 8 bags.

3. Lana is a professional dog walker. Lana walks 3 groups of dogs. She walks a total of 27 dogs. If each group has the same number of dogs, how many dogs are in each group?

Answer:

The number of dogs in each group is 9 dogs.

Explanation:

Given that Lana is a professional dog walker and Lana walks 3 groups of dogs then she walks a total of 27 dogs. So the number of dogs in each group is 27÷3 = 9 dogs.

A. Write a division equation to model the problem. ___ ÷ __ = __

Answer:

27÷3 = 9 dogs.

Explanation:

The division equation is 27÷3 = 9 dogs.

B. What multiplication equation can you write to solve the division equation?

_______________________

Answer:

9×3 = 27.

Explanation:

The multiplication equation is 9×3 which is 27.

C. How many dogs are in each group?

_______________________

Answer:

9 dogs.

Explanation:

The number of dogs in each group is 9 dogs.

**Turn and Talk** How could you count equal groups to find 27 ÷ 3?

4. Mrs. Long sees 7 birds on each of 6 days. How many birds does she see?

Answer:

7×6 = 42 birds.

Explanation:

Given that Mrs. Long sees 7 birds on each of 6 days. So the number of birds she saw is 7×6 = 42 birds.

A. Use doubles and multiply.

7 × 3 = __ Double the product. __ + __ = ____

Answer:

7 × 6 = 42.

Explanation:

Given that the equation is 7 × 3 = 21 and double the product is 21+21 = 42.

B. How many birds does Mrs. Long see? ____

Answer:

42 birds.

Explanation:

The number of birds does Mrs. Long saw is 42 birds.

5. The area of a rectangular rug is 54 square feet. One of the side lengths is 6 feet. What is the unknown side length?

Answer:

The length of the unknown side is 9 feet.

Explanation:

Given that the area of a rectangular rug is 54 square feet and one of the side lengths is 6 feet. So the unknown side length is 54÷6 which is 9 feet.

A. Write a division equation to model the problem. ___ ÷ ___ =

Answer:

54÷6 = 9 feet.

Explanation:

The division equation to model the problem is 54÷6 = 9 feet.

B. What multiplication equation can you write to solve the division equation? _________

Answer:

9×6 = 54.

Explanation:

The multiplication equation is 9×6 which is 54.

C. What is the unknown side length? ________

Answer:

9 feet.

Explanation:

The unknown side length is 9 feet.

**Turn and Talk** What is another way that you can find 54 ÷ 6?

**Check Understanding Math Board**

**Multiply or divide.**

Question 1.

42 ÷ 6 = ___

Answer:

42 ÷ 6 = 7.

Explanation:

The division of 42 ÷ 6 is 7.

Question 2.

3 × 8 = __

Answer:

3 × 8 = 24.

Explanation:

The multiplication of 3 × 8 is 24.

Question 3.

__ = 36 ÷ 6

Answer:

36 ÷ 6 = 6.

Explanation:

The division of 36 ÷ 6 is 6.

Question 4.

Raymond arranges 21 tiles into 3 equal rows. How many tiles are in each row? ________

Answer:

The number of tiles in each row is 7 tiles.

Explanation:

Given that Raymond arranges 21 tiles into 3 equal rows. So the number of tiles in each row is 21÷3 which is 7 tiles.

**On Your Own**

Question 5.

**Use Structure** Sheila is building picture frames using craft sticks. Each frame is in the hexagon shape shown. She makes 8 hexagons. How many craft sticks does Sheila use to make the hexagons?

Answer:

Sheila uses 48 craft sticks.

Explanation:

Given that Sheila is building picture frames using craft sticks and each frame is in the hexagon shape shown then She makes 8 hexagons. So she uses 8×6 which is 48 craft sticks.

**Use Repeated Reasoning Find the product.**

Question 6.

___ = 3 × 5

Answer:

3 × 5 = 15.

Explanation:

The multiplication of 3 × 5 is 15.

Question 7.

3 × 6 = ___

Answer:

3 × 6 = 18.

Explanation:

The multiplication of 3 × 6 is 18.

Question 8.

__ = 6 × 5

Answer:

6 × 5 = 30.

Explanation:

The multiplication of 6 × 5 is 30.

Question 9.

6 × 8 = ___

Answer:

6 × 8 = 48.

Explanation:

The multiplication of 6 × 8 is 48.

Question 10.

___ = 9 × 6

Answer:

9 × 6 = 54.

Explanation:

The multiplication of 9 × 6 is 54.

Question 11.

7 × 3 = ___

Answer:

7 × 3 = 21.

Explanation:

The multiplication of 7 × 3 is 21.

Question 12.

Answer:

4 × 6 = 24.

Explanation:

The multiplication of 4 × 6 is 24.

Question 13.

Answer:

10 × 3 = 30.

Explanation:

The multiplication of 10 × 3 is 30.

Question 14.

Answer:

6 × 6 = 36.

Explanation:

The multiplication of 6 × 6 is 36.

Question 15.

Answer:

6 × 7 = 42.

Explanation:

The multiplication of 6 × 7 is 42.

Question 16.

Answer:

3 × 8 = 24.

Explanation:

The multiplication of 3 × 8 is 24.

Question 17.

Answer:

3 × 9 = 27.

Explanation:

The multiplication of 3 × 9 is 27.

Question 18.

Answer:

6 × 1 = 6.

Explanation:

The multiplication of 6 × 1 is 6.

Question 19.

Answer:

6 × 2 = 12.

Explanation:

The multiplication of 6 × 2 is 12.

Question 20.

Answer:

10 × 6 = 60.

Explanation:

The multiplication of 10 × 6 is 60.

Question 21.

Answer:

6 × 3 = 18.

Explanation:

The multiplication of 6 × 3 is 18.

Question 22.

Answer:

3 × 3 = 9.

Explanation:

The multiplication of 3 × 3 is 9.

Question 23.

Answer:

3 × 1 = 3.

Explanation:

The multiplication of 3 × 1 is 3.

Question 24.

**Reason** June takes a bus to and from summer day camp each day for 6 days. She rides the bus for a total of 60 miles. How many miles does June ride the bus each day? How far is the day camp from June’s home?

Answer:

The number of miles does June ride the bus each day is 10 miles and number of days will be 5 days.

Explanation:

Given that June takes a bus to and from summer day camp each day for 6 days and she rides the bus for a total of 60 miles. So the number of miles does June ride the bus each day is 60÷6 which is 10 miles and number of days will be 10÷2 which is 5 days.

Question 25.

**Model with Mathematics** Janna and Ali have 42 beads to make bracelets. They want to put 6 beads on each bracelet. Janna divides to find how many bracelets they can make. Ali uses multiplication. What equations could Janna and Ali write to model their thinking?

Answer:

Equations are 42÷6 = 7 and 6×7 = 42.

Explanation:

Given that Janna and Ali have 42 beads to make bracelets and they want to put 6 beads on each bracelet. As Janna divides 42÷6 which is 7 bracelets. As Ali uses multiplication, so 6×7 = 42.

**Use Structure Complete the related facts.**

Question 26.

8 × ___ = 24

24 ÷ 8 = ___

Answer:

8 × 3 = 24,

24 ÷ 8 = 3.

Explanation:

Let the missing digit be X, so the equation will be

8 × X = 24,

24 ÷ 8 = 3.

So the missing digit is 3.

Question 27.

21 = 7 × ___

21 ÷ 7 = ___

Answer:

7 × 3 = 21,

21 ÷ 7 = 3.

Explanation:

Let the missing digit be X, so the equation will be

7 × X = 21,

21 ÷ 7 = 3.

So the missing digit is 3.

Question 28.

5 × ___ = 30

___ = 30 ÷ 5

Answer:

5 × 6 = 30,

30 ÷ 5 = 6.

Explanation:

Let the missing digit be X, so the equation will be

5 × 6 = 30,

30 ÷ 5 = 6.

So the missing digit is 6.

**Use Repeated Reasoning Find the quotient.**

Question 29.

___ = 24 ÷ 6

Answer:

24 ÷ 6 = 4.

Explanation:

The quotient of 24 ÷ 6 is 4.

Question 30.

27 ÷ 9 = ___

Answer:

27 ÷ 9 = 3.

Explanation:

The quotient of 27 ÷ 9 is 3.

Question 31.

___ = 30 ÷ 3

Answer:

30 ÷ 3 = 10.

Explanation:

The quotient of 30 ÷ 3 is 10.

Question 32.

____ = 54 ÷ 9

Answer:

54 ÷ 9 = 6.

Explanation:

The quotient of 54 ÷ 9 is 6.

Question 33.

15 ÷ 5 = ___

Answer:

15 ÷ 5 = 3.

Explanation:

The quotient of 15 ÷ 5 is 3.

Question 34.

27 ÷ 3 = ___

Answer:

27 ÷ 3 = 9.

Explanation:

The quotient of 27 ÷ 3 is 9.

Question 35.

Answer:

12 ÷ 6 = 2.

Explanation:

The quotient of 12 ÷ 6 is 2.

Question 36.

Answer:

36 ÷ 6 = 6.

Explanation:

The quotient of 36 ÷ 6 is 6.

Question 37.

Answer:

18 ÷ 3 = 6.

Explanation:

The quotient of 18 ÷ 3 is 6.

Question 38.

Answer:

12 ÷ 3 = 4.

Explanation:

The quotient of 12 ÷ 3 is 4.

Question 39.

Answer:

30 ÷ 3 = 10.

Explanation:

The quotient of 30 ÷ 3 is 10.

Question 40.

Answer:

54 ÷ 6 = 9.

Explanation:

The quotient of 54 ÷ 6 is 9.

Question 41.

Answer:

48 ÷ 6 = 8.

Explanation:

The quotient of 48 ÷ 6 is 8.

Question 42.

Answer:

42 ÷ 6 = 7.

Explanation:

The quotient of 42 ÷ 6 is 7.

Question 43.

Answer:

24 ÷ 3 = 8.

Explanation:

The quotient of 24 ÷ 3 is 8.

Question 44.

Answer:

6 ÷ 6 = 1.

Explanation:

The quotient of 6 ÷ 6 is 1.

Question 45.

Answer:

30 ÷ 5 = 6.

Explanation:

The quotient of 30 ÷ 5 is 6.

Question 46.

Answer:

6 ÷ 2 = 3.

Explanation:

The quotient of 6 ÷ 2 is 3.

Question 47.

Some campers are going on a hike. Anna packs 3 energy bars in each camper’s backpack. If she packs 24 energy bars, how many campers are hiking?

Answer:

The number of campers are hiking is 8 campers.

Explanation:

Given that Anna packs 3 energy bars in each camper’s backpack and if she packs 24 energy bars. So the number of campers are hiking is 24÷3 which is 8 campers.

**On Your Own**

Question 48.

**Open-Ended** Write and solve a word problem for this area model.

Answer:

Question 49.

The city park has a train ride. Each train car holds 9 riders. If 54 people can ride at one time, how many cars does the train have?

Answer:

The number of cars does train had is 6 riders.

Explanation:

Given that the city park has a train ride and each train car holds 9 riders, if 54 people can ride at one time. So the number of cars does train had is 54÷9 which is 6 riders.

Question 50.

At the park, Silvia pays $12 dollars for her paddle boat rental. For how many hours does Silvia rent the paddle boat?

Answer:

3 hours.

Explanation:

Given that Silvia pays $12 dollars for her paddle boat rental, so for number of hours does Silvia rent the paddle boat is $12÷$4 = 3 hours.

Question 51.

The park has basketball courts for youth basketball games. There are 48 players who play on 6 different teams. How many players are on each team?

Answer:

The number of players is 8 players.

Explanation:

Given that there are 48 players who play on 6 different teams, so the number of players are on each team is 48÷6 which is 8 players.

Question 52.

**Reason** Sam walks 30 miles at the park each week. The answer to the problem is that Sam walks 5 miles a day. Write a question for this problem.

Answer:

Sam walks 30 miles at the park each week. For 6 days how many miles does Sam walks.