We included **HMH Into Math Grade 3 Answer Key**** PDF** **Module 4 Lesson 6 Multiply with 9** to make students experts in learning maths.

## HMH Into Math Grade 3 Module 4 Lesson 6 Answer Key Multiply with 9

I Can apply the Distributive Property with multiplication and addition or subtraction. I can use patterns and strategies to multiply with 9.

**Spark Your Learning**

Toby is measuring the length of Lee’s shadow using footsteps. Lee’s shadow is 6 footsteps long. Toby knows that his footstep is 9 inches long. What is the length of Lee’s shadow in inches?

**Show more than one way to find the length of Lee’s shadow.**

Answer:

Explanation:

Toby is measuring the length of Lee’s shadow using footsteps

Lee’s shadow is 6 footsteps long. Toby knows that his footstep is 9 inches long

6 x 9 =

Use 3’s fact with 9 and double the product

3 x 9 = 27

27 + 27 = 54

So, 6 x 9 = 54

Therefore, length of Lee’s shadow in inches is 54 inches.

**Turn and Talk** Suppose Lee’s footstep is 8 inches long and Toby’s shadow measurement is equal to 6 footsteps long. Could you use your same methods to find the length of Toby’s shadow? Explain.

Answer:

If Lee’s footstep is 8 inches long and Toby’s shadow measurement is equal to 6 footsteps long the equation will be 6 x 8

Use 3’s fact with 8 and double the product

3 x 8 = 24

24 + 24 = 48

So, length of Lee’s shadow in inches is 48 inches.

**Build Understanding**

1. Each 8-ounce container of yogurt has 9 grams of protein. A gram is a metric unit used to measure mass. Tanika is finding the total grams of protein for different numbers of containers.

Tanika knows the products when multiplying with 0, 1, 2, 3, 4, 5, 6, and 7. How can Tanika find the products 8 × 9, 9 × 9, and 10 × 9?

You can look for patterns in a table.

A. Complete the products.

B. Describe the method you used to find the products 8 × 9, 9 × 9, and 10 × 9.

C. What do you notice about the tens digit in the product?

D. What do you notice about the sum of the digits in the product?

Answer:

Explanation:

I completed the products in the table

To find the products of 8 x 9 i used 4’s fact

To find the product of 9 x 9 i used doubles fact

To find the product of 10 x 9 i used 1’s fact and added 0 to the product

In the products the tens digit is increasing by 1

The sum of the digits in the products is 9.

**Turn and Talk** How can you use your pattern to find a product with a factor of 9? Give an example.

Answer:

If 4 x 9 = 36

then 5 x 9 will be 45 that is 1 more in tens digit and 1 less in ones digit.

**Step It Out**

2. How many grams of protein are in 7 ounces of pumpkin seeds?

7 × 9 =

A. Use the Distributive Property with multiplication and addition.

- Break apart the factor 9. Think of two addends.
- Multiply each addend by 7.
- Add the products.

Answer:

Explanation:

Each 8-ounce container of yogurt has 9 grams of protein

A gram is a metric unit used to measure mass

7 ounces of pumpkin seeds has 9 grams of protein

7 x 9

Here i used distributive property and added the products

As shown above 7 x 9 = 63

So, there are 63 grams of protein in 7 grams of pumpkin seeds.

B. Use the Distributive Property with multiplication and subtraction.

- Represent the factor 9 using subtraction.
- Multiply each number in the subtraction by 7.

- Subtract the products.

There are ___ grams of protein in 7 ounces of pumpkin seeds.

Answer:

Explanation:

Here i used distributive property and subtracted the products

As shown the product is 63

So, There are 63 grams of protein in 7 ounces of pumpkin seeds.

**Turn and Talk** How did you change the factor 9 differently for the two methods?

Answer:

In one method i added two number to make a sum of 9 and in the other method i subtracted two number to make a difference of 9.

**Check Understanding Math Board**

Question 1.

Use the table above. How many grams of protein are in 9 ounces of squash seeds? _____

Answer:

81 grams

Explanation:

Use the Distributive Property with multiplication and subtraction

9 x 9 =

9 (10 -1)

90 – 9

= 81

So, there are 81 grams of protein in 9 ounces of squash seeds.

**On Your Own**

Question 2.

**Use Structure** Darla has 8 pieces of yarn. Each piece is 9 inches long. How many inches of yarn does she have? Explain how you can find the answer using the Distributive Property with subtraction.

Answer:

72 inches

Explanation:

Use the Distributive Property with multiplication and subtraction

8 x 9

Represent the factor 9 using subtraction

Multiply each number in the subtraction by 8

8 x (10-1)

(8x 10) – (8 x 1)

80 – 8

Subtract the products

80 – 8 = 72

So, Darla has 72 inches of yarn.

**Write the unknown number.**

Question 3.

4 × 9 = 4 × (___ – 1)

Answer:

4 × 9 = 4 × (10 – 1)

Explanation:

In the Distributive Property with multiplication and subtraction

we represent the number 9 as difference of two numbers

1 is already given

9 + 1 = 10

So, the missing number is 10.

Question 4.

9 × 6 = (4 + __) × 6

Answer:

9 × 6 = (4 + 5) × 6

Explanation:

Use the Distributive Property with multiplication and addition.

Break apart the factor 9

4 is already given

9 – 4 = 5

So, the missing number is 5.

**Find the product.**

Question 5.

9 × 1 = ___

Answer:

9

Explanation:

Property of identity states that any number multiplied with 1 is the number itself

So, 9 x 1 = 9.

Question 6.

4 × 9 = ___

Answer:

36

Explanation:

Use the Distributive Property with multiplication and addition.

Break apart the factor 9

4 x 9

= 4(5 + 4)

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

Add the products

= 20 + 16

= 36

So, 4 x 9 = 36.

Question 7.

___ = 9 × 7

Answer:

63

Explanation:

Use the Distributive Property with multiplication and subtraction

9 x 7

Represent the factor 9 using subtraction

Multiply each number in the subtraction by 7

(10 – 1)7

= (10 x 7) – (1 x 7)

Subtract the products

= 70 -7

= 63

So, 9 x 7 = 63.

Question 8.

3 × 9 = ___

Answer:

27

Explanation:

Use the Distributive Property with multiplication and addition.

Break apart the factor 9

3 x 9

= 3(5 + 4)

= (3 x 5) + (3 x 4)

Add the products

= 15 + 12

= 27

So, 3 x 9 = 12.

**I’m in a Learning Mindset!**

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