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

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? 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.  A. Write an equation to model the problem.
__________________

18÷3 = 6.

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

B. How many triangles can Matt and Anna make?
__________________

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?

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.  B. Write an equation to model the problem.
_______________________

24÷3 = 3.

Explanation:
The equation will be 24÷3 which is 8.

C. How many sports bags does Malik fill?
_______________________

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? 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. ___ ÷ __ = __

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?
_______________________

9×3 = 27.

Explanation:
The multiplication equation is 9×3 which is 27.
C. How many dogs are in each group?
_______________________

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? 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. __ + __ = ____

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? ____

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?

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. ___ ÷ ___ = 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? _________

9×6 = 54.

Explanation:
The multiplication equation is 9×6 which is 54.

C. What is the unknown side length? ________

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 = ___
42 ÷ 6 = 7.

Explanation:
The division of 42 ÷ 6 is 7.

Question 2.
3 × 8 = __
3 × 8 = 24.

Explanation:
The multiplication of 3 × 8 is 24.

Question 3.
__ = 36 ÷ 6
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? ________
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.

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? 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
3 × 5 = 15.

Explanation:
The multiplication of 3 × 5 is 15.

Question 7.
3 × 6 = ___
3 × 6 = 18.

Explanation:
The multiplication of 3 × 6 is 18.

Question 8.
__ = 6 × 5
6 × 5 = 30.

Explanation:
The multiplication of 6 × 5 is 30.

Question 9.
6 × 8 = ___
6 × 8 = 48.

Explanation:
The multiplication of 6 × 8 is 48.

Question 10.
___ = 9 × 6
9 × 6 = 54.

Explanation:
The multiplication of 9 × 6 is 54.

Question 11.
7 × 3 = ___
7 × 3 = 21.

Explanation:
The multiplication of 7 × 3 is 21.

Question 12. 4 × 6 = 24.

Explanation:
The multiplication of 4 × 6 is 24.

Question 13. 10 × 3 = 30.

Explanation:
The multiplication of 10 × 3 is 30.

Question 14. 6 × 6 = 36.

Explanation:
The multiplication of 6 × 6 is 36.

Question 15. 6 × 7 = 42.

Explanation:
The multiplication of 6 × 7 is 42.

Question 16. 3 × 8 = 24.

Explanation:
The multiplication of 3 × 8 is 24.

Question 17. 3 × 9 = 27.

Explanation:
The multiplication of 3 × 9 is 27.

Question 18. 6 × 1 = 6.

Explanation:
The multiplication of 6 × 1 is 6.

Question 19. 6 × 2 = 12.

Explanation:
The multiplication of 6 × 2 is 12.

Question 20. 10 × 6 = 60.

Explanation:
The multiplication of 10 × 6 is 60.

Question 21. 6 × 3 = 18.

Explanation:
The multiplication of 6 × 3 is 18.

Question 22. 3 × 3 = 9.

Explanation:
The multiplication of 3 × 3 is 9.

Question 23. 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?
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? 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 = ___
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 = ___
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
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
24 ÷ 6 = 4.

Explanation:
The quotient of 24 ÷ 6 is 4.

Question 30.
27 ÷ 9 = ___
27 ÷ 9 = 3.

Explanation:
The quotient of 27 ÷ 9 is 3.

Question 31.
___ = 30 ÷ 3
30 ÷ 3 = 10.

Explanation:
The quotient of 30 ÷ 3 is 10.

Question 32.
____ = 54 ÷ 9
54 ÷ 9 = 6.

Explanation:
The quotient of 54 ÷ 9 is 6.

Question 33.
15 ÷ 5 = ___
15 ÷ 5 = 3.

Explanation:
The quotient of 15 ÷ 5 is 3.

Question 34.
27 ÷ 3 = ___
27 ÷ 3 = 9.

Explanation:
The quotient of 27 ÷ 3 is 9.

Question 35. 12 ÷ 6 = 2.

Explanation:
The quotient of 12 ÷ 6 is 2.

Question 36. 36 ÷ 6 = 6.

Explanation:
The quotient of 36 ÷ 6 is 6.

Question 37. 18 ÷ 3 = 6.

Explanation:
The quotient of 18 ÷ 3 is 6.

Question 38. 12 ÷ 3 = 4.

Explanation:
The quotient of 12 ÷ 3 is 4.

Question 39. 30 ÷ 3 = 10.

Explanation:
The quotient of 30 ÷ 3 is 10.

Question 40. 54 ÷ 6 = 9.

Explanation:
The quotient of 54 ÷ 6 is 9.

Question 41. 48 ÷ 6 = 8.

Explanation:
The quotient of 48 ÷ 6 is 8.

Question 42. 42 ÷ 6 = 7.

Explanation:
The quotient of 42 ÷ 6 is 7.

Question 43. 24 ÷ 3 = 8.

Explanation:
The quotient of 24 ÷ 3 is 8.

Question 44. 6 ÷ 6 = 1.

Explanation:
The quotient of 6 ÷ 6 is 1.

Question 45. 30 ÷ 5 = 6.

Explanation:
The quotient of 30 ÷ 5 is 6.

Question 46. 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?
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.

Question 48.
Open-Ended Write and solve a word problem for this area model. 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?
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?