We included **HMH Into Math Grade 3 Answer Key**** PDF** **Module 4 Lesson 5 Multiply with 8** to make students experts in learning maths.

## HMH Into Math Grade 3 Module 4 Lesson 5 Answer Key Multiply with 8

I Can alternate between strategies and properties to multiply with 8. I can determine the best strategy to use for different factors and problems.

**Spark Your Learning**

Lance works at a snack bar. He sees that there are 6 packages of hot dog buns like the one shown. How many hot dog buns are there?

**Show more than one way to find the total number of hot dog buns.**

Answer:

Explanation:

Lance works at a snack bar

He sees that there are 6 packages of hot dog buns like the one shown

There are 8 buns in each pack

So, i drew 6 boxes and wrote 8 in each box

6 x 8

= 8 x 6

= 2 (4 x 6)

= 2(24) = 24 + 24 = 48

So, there are 48 buns in all.

**Turn and Talk** Could your methods be used for any situations involving equal groups of 8? Explain.

Answer:

Yes we can use a fours fact with the number and the double the product.

**Build Understanding**

1. Margo has an 8-foot long measuring tape. She measures the distance around a rectangle on

the floor of a stage. She finds that the distance around the rectangle is 4 measuring tapes. How many feet are in 4 measuring tapes?

A. Show how you can use a number line and counting equal groups to help solve the problem.

B. What numbers do you land on as you count?

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C. How many feet are in 4 measuring tapes?

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Answer:

Explanation:

Margo has an 8-foot long measuring tape

She measures the distance around a rectangle on the floor of a stage

She finds that the distance around the rectangle is 4 measuring tapes

I can use number line to show and solve the problem

I drew 4 jumps and counted by 8, that is 4 equal groups of 8

I landed on the numbers 8, 16, 24 and 36 as i counted

So, there are 36feet in 4 measuring tapes.

2. The dancers in a ballet are performing on a stage that has side lengths of 7 meters and 8 meters. What is the area of the stage?

A. Draw an area model to show the area of the stage. Then use the Distributive Property and facts you know to show another way to solve the problem.

7 × 8 =

7 × 8 = 7 × ( ___ + __)

7 × 8 = (7 × ___) + (7 × ___)

7 × 8 = __ + __ = ___

B. What is the area of the stage? ___

Answer:

Explanation:

The dancers in a ballet are performing on a stage that has side lengths of 7 meters and 8 meters

I drew area model to show the area of the stage

7 x 8 = 56

I used the Distributive Property and facts you know to show another way to solve the problem

7 × 8 =

7 × 8 = 7 × ( 4 + 4 )

7 × 8 = (7 × 4 ) + (7 × 4 )

7 × 8 = 28 + 28 = 56

So, the area of the stage is 56.

**Step It Out**

3. A band buys caps for each of the band members. Each cap costs $9. The band buys 8 caps. What is the cost of 8 caps?

8 × 9 =

Answer:

Explanation:

A band buys caps for each of the band members

Each cap costs $9. The band buys 8 caps

Use a 4s fact and double the product

4 x 9 = 36

36 + 36 = 72

So, The cost of 8 caps is $72.

A. Use a 4s fact and doubling to help.

- Find the 4s fact. Complete.
- Then double the product. Complete.

B. Use the Commutative and Associative Properties and doubling to help.

- Use the 4s fact. Break apart the factor 8 into two smaller factors. Complete.
- Change the order and grouping of the factors to show 2 groups. Complete.
- Multiply the factors in the parentheses. Complete.
- Double the product. Complete. The cost of the caps is ___.

Answer:

Explanation:

A band buys caps for each of the band members

Each cap costs $9. The band buys 8 caps

I used the Commutative and Associative Properties and doubled the product

I completed the equations using commutative property and associative property

8 x 9 = 72

So, The cost of 8 caps is $72.

**Turn and Talk** When you multiply with 8, will the product always be even? Explain.

Answer:

Yes, when multiplied by 8 the product will always be even as every number that has 2 as its factor will have even multiples.

**Check Understanding Math Board**

Question 1.

The stage crew works for 8 hours at a music festival. There are 5 shows each week. How many hours does the stage crew work each week?

Answer:

40 hours

Explanation:

The stage crew works for 8 hours at a music festival. There are 5 shows each week

8 x 5

Use a 4s fact and double the product

4 x 5 = 20

20 + 20 = 40

So, 8 x 5 = 40

Therefore, the stage crew work each week for 40 hours.

**On Your Own**

Question 2.

**Use structure** Elsa is hanging 8 rows of papers on a bulletin board. There are 7 sheets of paper in each row. How many sheets of paper are there? Explain how you know.

Answer:

8 x 7 = 56

Explanation:

8 x 7

Use a 4’s fact with the factor 7 and double the product

4 x 7 = 28

28 + 28 = 56

So, 56 sheets of paper are there on the bulletin board.

**Write the unknown number.**

Question 3.

8 × 7 = (8 × 3) + (8 × __)

Answer:

8 × 7 = (8 × 3) + (8 × 4)

Explanation:

8 x 7 =

To find the product we use distributive property

So, we divide 7 as 4 and 3

So, the missing number is 4.

Question 4.

7 × 8 = (5 + __) × 8

Answer:

7 × 8 = (5 +2) × 8

Explanation:

7 x 8 = 56

To find the product we use commutative property

So, we need to write the number 7 as the sum of 5 and 2

So, the missing number is 2.

Question 5.

6 × 8 = (3 + __) × 8

Answer:

6 × 8 = (3 + 3) × 8

Explanation:

6 x 8 =

To find the product we use commutative property

So, we need to divide the number 6 as the sum of 3 and 3

So, the missing number is 3.

Question 6.

8 × 6 = (8 × 3) + (8 × __)

Answer:

8 × 6 = (8 × 3) + (8 × 3)

Explanation:

8 x 6 =

To find the product we use distributive property

So, we divide 6 as 3 and 3

So, the missing number is 3.

**Find the product.**

Question 7.

8 × 1 = ___

Answer:

8

Explanation:

Any number multiplied by 1 is the number itself

So, 8 x 1 = 8.

Question 8.

6 × 8 = ___

Answer:

48

Explanation:

6 x 8 =

Use 3’s fact and double the product

3 x 8 = 24

24 + 24 = 48

So, 6 x 8 = 48.

Question 9.

5 × 8 = __

Answer:

40

Explanation:

5 x 8 =

Use distributive property

5 x (4 + 4 )

= (5 x 4) + (5 x 4)

= 20 + 20

= 40

So, 5 x 8 = 40.

Question 10.

___ = 8 × 3

Answer:

24

Explanation:

8 x 3

Use distributive property

(4 + 4) x 3

(4 x 3) + (4 x 3)

12 + 12 = 24

So, 8 x 3 = 24.

Question 11.

8 × 8 = __

Answer:

64

Explanation:

Use doubles fact

8 x 8 = 64.

Question 12.

9 × 8 = ___

Answer:

72

Explanation:

9 x 8 =

Use commutative and associative property

9 x 8 = 9 x 4 x 2

= 9(4 x 2)

= 2(9 x 4)

= 2(36)

= 36 + 36

=72

So, 9 x 8 = 72.

Question 13.

Answer:

80

Explanation:

If a number is multiplied by ten then the product will have 0 in the ones place and the number itself in its tens place

So, 10 x 8 is 80.

Question 14.

Answer:

56

Explanation:

8 x 7

Use a 4’s fact with the factor 7 and double the product

4 x 7 = 28

28 + 28 = 56.

Question 15.

Answer:

40

Explanation:

8 x 5 = 5 x 8

5 x (4 + 4 )

= (5 x 4) + (5 x 4)

= 20 + 20

= 40

So, 8 x 5 = 40.

Question 16.

Answer:

72

Explanation:

9 x 8 = 9 x 4 x 2

= 9(4 x 2)

= 2(9 x 4)

= 2(36)

= 36 + 36

=72

So, 9 x 8 = 72.

Question 17.

Answer:

16

Explanation:

8 x 2 =

8 + 8 = 16

So, 8 x 2 = 16.

Question 18.

Answer:

32

Explanation:

4 x 8 =

Use 2 fact and double the product

2 x 8

= 16

16 + 16 = 32

So, 4 x 8 = 32.

**I’m in a Learning Mindset!**

What do I do when I do not know what to do?

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