We included **HMH Into Math Grade 3 Answer Key**** PDF** **Module 7 Lesson 3 Multiply and Divide with 2, 4, and 8** to make students experts in learning maths.

## HMH Into Math Grade 3 Module 7 Lesson 3 Answer Key Multiply and Divide with 2, 4, and 8

I Can use more than one strategy to solve multiplication and division problems with 2, 4, and 8 as factors and divisors.

**Step It Out**

1. There are 16 friends playing on a field. How can they make teams of 2, teams of 4, and teams of 8?

A. Show equal groups of 2, 4, and 8.

Answer:

2×8 = 16,

4×4 = 16,

8×2 = 16.

Explanation:

Given that there are 16 friends playing on a field. So to make a team of 2 there will be 8 groups which are 2×8 = 16. And to make a team of 4 there will be 4 groups which are 4×4 = 16 and to make a team of 8 there will be 2 groups which are 8×2 = 16.

B. What equations can you write to show equal groups of 2, equal groups of 4, and equal groups of 8?

Answer:

2×8 = 16,

4×4 = 16,

8×2 = 16.

Explanation:

The equations are 2×8 = 16, 4×4 = 16, and 8×2 = 16.

**Turn and Talk** How are the equations for teams of 2 related to the equations for teams of 8?

**Step It Out**

2. Yan has a 20-inch length of string. He cuts the string into pieces that are each 4 inches long. How many pieces of string does Yan have?

Answer:

The number of pieces of string Yan had is 20÷4 = 5 strings.

Explanation:

Given that Yan has a 20-inch length of string and he cuts the string into pieces that are each 4 inches long. So the number of pieces of string Yan had is 20÷4 = 5 strings.

A. Start at 20 and count back using equal groups of 4. Complete the jumps on the number line. Count the jumps.

Answer:

The number of jumps is 5 jumps.

Explanation:

The number of jumps is 5 jumps.

B. How many pieces of string does Yan have?

Answer:

5 pieces.

Explanation:

There are 5 pieces of string Yan had.

3. The students in the science lab are working in 3 groups. Each group has 8 students. How many students are there?

Answer:

There are 24 students in total.

Explanation:

Given that there are 3 groups of people working in the science lab and each group has 8 students. So the number of students in total is 3×8 which is 24 students.

A. Use doubles and multiply.

Double the product. ___ + ___ = ____

Answer:

12+12 = 24.

Explanation:

To double the product first we will break the number 8 to 4+4 and then we will multiply by 3. So 4×3 = 12. So the doubling product will be 12+12 = 24.

B. How many students are there?

________________________

Answer:

There are 24 students.

**Turn and Talk** How can using doubles help you multiply?

4. There are 32 dancers in a parade. The dancers are arranged in equal rows as shown. How many rows are there?

Answer:

The number of rows will be 4 rows.

Explanation:

Given that there are 32 dancers in a parade and the dancers are arranged in equal rows. So the number of rows will be 32 ÷ 8 = 4 rows.

A. Draw an array to show equal groups.

B. Write related facts for the array.

______ ______

______ ______

Think: Related facts are a set of related multiplication and division equations.

Answer:

8×4 = 32,

4×8 = 32,

32÷8 = 4,

32÷4 = 8.

Explanation:

The related facts will be 8×4 = 32, 4×8 = 32 and 32÷8 = 4, 32÷4 = 8.

C. How many rows are there? ________

Answer:

There are 4 rows.

**Turn and Talk** How can you use multiplication to solve a division problem?

**Check Understanding Math Board**

**Multiply or divide.**

Question 1.

__ = 2 × 3

Answer:

2 × 3 = 6.

Explanation:

The multiplication of 2 × 3 is 6.

Question 2.

72 ÷ 8 = ___

Answer:

72 ÷ 8 = 9.

Explanation:

The division of 72 ÷ 8 is 9

Question 3.

__ = 4 × 7

Answer:

4 × 7 = 28.

Explanation:

The multiplication of 4 × 7 is 28.

Question 4.

There are 12 players on the volleyball court. Each side of the volleyball court has the same number of players. There are 2 sides. How many players are on each side? ____

Answer:

The number of players on each side is 6 players.

Explanation:

Given that there are 12 players on the volleyball court and each side of the volleyball court has the same number of players. As there are 2 sides, the number of players on each side is 12÷2 = 6 players.

Question 5.

The length of a field is 32 feet. A coach places a strip of tape every 8 feet. How many strips of tape does the coach place? ____

Answer:

The number of strips of tape does the coach place is 4 strips.

Explanation:

Given that the length of a field is 32 feet and a coach places a strip of tape every 8 feet. So the number of strips of tape does the coach place is 32÷8 which is 4 strips.

**On Your Own**

Question 6.

**Model with Mathematics** An art teacher has 40 crayons in some boxes. Each box has 8 crayons. How many boxes of crayons does the art teacher have? Write an equation to model the problem.

Answer:

The equation is 40÷8 = 5 boxes.

Explanation:

Given that an art teacher has 40 crayons in some boxes and each box has 8 crayons. So the number of boxes of crayons the art teacher had is 40÷8 = 5 boxes.

**Use Repeated Reasoning Multiply or divide.**

Question 7.

2 × 6 = ___

Answer:

2 × 6 = 12.

Explanation:

The multiplication of 2 × 6 is 12.

Question 8.

64 ÷ 8 = ___

Answer:

64 ÷ 8 = 8.

Explanation:

The division of 64 ÷ 8 is 8.

Question 9.

___ = 4 × 5

Answer:

4 × 5 = 20.

Explanation:

The multiplication of 4 × 5 is 20.

Question 10.

Answer:

8÷4 = 2.

Explanation:

The division of 8÷4 is 2.

Question 11.

___ = 2 × 5

Answer:

2 × 5 = 10.

Explanation:

The multiplication of 2 × 5 is 10.

Question 12.

Answer:

72÷8 = 9.

Explanation:

The division of 72÷8 is 9.

Question 13.

Answer:

16÷4 = 4.

Explanation:

The division of 16÷4 is 4.

Question 14.

Answer:

20÷2 = 10.

Explanation:

The division of 20÷2 is 10.

Question 15.

Answer:

56÷8 = 7.

Explanation:

The division of 56÷8 is 7.

Question 16.

Answer:

2×9 = 18.

Explanation:

The multiplication of 2×9 is 18.

Question 17.

Answer:

7×4 = 28.

Explanation:

The multiplication of 7×4 is 28.

Question 18.

Answer:

8×1 = 8.

Explanation:

The multiplication of 8×1 is 8.

Question 19.

Answer:

4×8 = 32.

Explanation:

The multiplication of 4×8 is 32.

Question 20.

There are 48 students in a library. If there are 6 students at each table, how many tables are there?

Answer:

There are 8 tables.

Explanation:

Given that there are 48 students in a library and if there are 6 students at each table. So the number of tables are there in total is 48÷6 which is 8 tables.

Question 21.

Six friends are paddling kayaks. Each kayak holds 2 people. How many kayaks are there?

Answer:

The number of kayaks is 12 kayaks.

Explanation:

Given that six friends are paddling kayaks and each kayak holds 2 people. So the number of kayaks are 6×2 which is 12 kayaks.

Question 22.

**STEM** Arachnids, such as spiders, are a class of animals based on their number of legs. Megan counts 56 legs on some arachnids. How many arachnids does Megan count?

Answer:

The number of arachnids does Megan count is 7 arachnids.

Explanation:

Given Arachnids, such as spiders, are a class of animals based on their number of legs. As Megan counts 56 legs on some arachnids, so the number of arachnids does Megan count is 56÷8 which is 7 arachnids.

**Use Repeated Reasoning Multiply or divide.**

Question 23.

___ = 2 × 2

Answer:

2 × 2 = 4.

Explanation:

The multiplication of 2 × 2 is 4.

Question 24.

48 ÷ 8 = ___

Answer:

48 ÷ 8 = 6.

Explanation:

The division of 48 ÷ 8 is 6.

Question 25.

4 × 10 = ___

Answer:

4 × 10 = 40.

Explanation:

The multiplication of 4 × 10 is 40.

Question 26.

8 ÷ 4 = ___

Answer:

8 ÷ 4 = 2.

Explanation:

The division of 8 ÷ 4 is 2.

Question 27.

___ = 2 × 10

Answer:

2 × 10 = 20.

Explanation:

The multiplication of 2 × 10 is 20.

Question 28.

Answer:

36 ÷ 4 = 9.

Explanation:

The division of 36 ÷ 4 is 9.

Question 29.

2 × 7 = ___

Answer:

2 × 7 = 14.

Explanation:

The multiplication of 2 × 7 is 14.

Question 30.

Answer:

8 ÷ 8 = 1.

Explanation:

The division of 8 ÷ 8 is 1.

Question 31.

8 × 10 = ___

Answer:

8 × 10 = 80.

Explanation:

The multiplication of 8 × 10 is 80.

Question 32.

Answer:

4 × 8 = 32.

Explanation:

The multiplication of 4 × 8 is 32.

Question 33.

Answer:

7 × 2 = 14.

Explanation:

The multiplication of 7 × 2 is 14.

Question 34.

Answer:

8 × 3 = 24.

Explanation:

The multiplication of 8 × 3 is 24.

Question 35.

Answer:

9 × 4 = 36.

Explanation:

The multiplication of 9 × 4 is 36.

Question 36.

**Attend to Precision** Mrs. Reynolds buys 6 packs of batteries. There are 8 batteries in each pack. How many batteries does Mrs. Reynolds buy? Explain how you know.

Answer:

The number of batteries Mrs. Reynolds bought is 48 batteries.

Explanation:

Given that Mrs. Reynolds bought 6 packs of batteries and there are 8 batteries in each pack. So the number of batteries Mrs. Reynolds bought is 6×8 which is 48 batteries.

Question 37.

Jay has a sheet of balsa wood that is 36 inches long. He cuts the sheet into 4 equal pieces. How long is each piece of balsa wood?

Answer:

The length of each piece of balsa wood is 9 pieces.

Explanation:

Given that Jay has a sheet of balsa wood that is 36 inches long and he cuts the sheet into 4 equal pieces. So the length of each piece of balsa wood is 36÷4 which is 9 pieces.

**On Your Own**

Question 38.

**Use Structure** Seth cuts 20 inches of ribbon into 4-inch pieces. Write an equation to show how many pieces of ribbon Seth cuts. Then write a related fact.

Answer:

The equation is 20÷4 = 5 pieces.

Explanation:

Given that Seth cuts 20 inches of ribbon into 4-inch pieces. So the equation to show how many pieces of ribbon Seth cuts are 20÷4 which is 5 pieces. The related facts are 20÷5 = 4, 4×5 = 20, 5×4 = 20.

**Use Repeated Reasoning Multiply or divide.**

Question 39.

2 × 7 = ___

Answer:

2 × 7 = 14.

Explanation:

The multiplication of 2 × 7 is 14.

Question 40.

80 ÷ 8 = __

Answer:

80 ÷ 8 = 10.

Explanation:

The division of 80 ÷ 8 is 10.

Question 41.

__ = 6 × 4

Answer:

6 × 4 = 24.

Explanation:

The multiplication of 6 × 4 is 24.

Question 42.

16 ÷ 8 = ___

Answer:

16 ÷ 8 = 2.

Explanation:

The division of 16 ÷ 8 is 2.

Question 43.

__ = 7 × 4

Answer:

7 × 4 = 28.

Explanation:

The multiplication of 7 × 4 is 28.

Question 44.

Answer:

32 ÷ 8 = 4.

Explanation:

The division of 32 ÷ 8 is 4.

Question 45.

Answer:

40 ÷ 8 = 5.

Explanation:

The division of 40 ÷ 8 is 5.

Question 46.

___ = 2 × 9

Answer:

2 × 9 = 18.

Explanation:

The multiplication of 2 × 9 is 18.

Question 47.

32 ÷ 4 = ___

Answer:

32 ÷ 4 = 8.

Explanation:

The division of 32 ÷ 4 is 8.

Question 48.

Answer:

12 ÷ 2 = 6.

Explanation:

The division of 12 ÷ 2 is 6.

Question 49.

Answer:

24 ÷ 8 = 3.

Explanation:

The division of 24 ÷ 8 is 3.

Question 50.

Answer:

28 ÷ 4 = 7.

Explanation:

The division of 28 ÷ 4 is 7.

Question 51.

Answer:

6 × 8 = 48.

Explanation:

The multiplication of 6 × 8 is 48.

Question 52.

Answer:

5 × 2 = 10.

Explanation:

The multiplication of 5 × 2 is 10.

Question 53.

Answer:

7 × 8 = 56.

Explanation:

The multiplication of 7 × 8 is 56.

Question 54.

Answer:

10 × 2 = 20.

Explanation:

The multiplication of 10 × 2 is 20.

Question 55.

A tandem bicycle holds 2 riders. A group of 20 riders rents tandem bicycles. How many tandem bicycles does the group need to rent?

Answer:

The number of tandem bicycles the group needs to rent is 10 tandem bicycles.

Explanation:

Given that a tandem bicycle holds 2 riders and a group of 20 riders rents tandem bicycles. So the number of tandem bicycles the group needs to rent is 20÷2 = 10 tandem bicycles.