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

## HMH Into Math Grade 3 Module 4 Lesson 4 Answer Key Multiply with 7

I Can use several multiplication strategies to multiply with 7.

**Spark Your Learning**

Carlos plans to practice guitar every day for 6 weeks. There are 7 days in a week. How many days does Carlos plan to practice guitar?

**Show more than one way to find the total number of days.**

Answer:

Explanation:

Carlos plans to practice guitar every day for 6 weeks

There are 7 days in a week

6 x 7

I used distributive property to solve

6 x 7 = 6 x ( 4 + 3 )

= (6 x 4) + (6 x 3)

= 24 + 18 = 42 or

6 x 7 = (3 + 3) x 6

= (3 x 7) + (3 x 7)

= 21 + 21 = 42

So, Carols plan to practice guitar for 42 days.

**Turn and Talk** Compare the ways that you found the total number of days. How are they alike and how are they different?

Answer:

I found the total by dividing the array vertically and horizontally.

The answer in both the ways is same.

**Build Understanding**

1. Lea is making a calendar to show her activities for the month of February. This year, there are 4 weeks in February. How many days are in February?

**Use the Distributive Property.**

A. How can you make an array to show 4 rows of 7? Complete the array.

B. Draw a vertical line to break apart the array into two smaller arrays.

Answer:

Explanation:

Lea is making a calendar to show her activities for the month of February

This year, there are 4 weeks in February

I drew to complete the array to show 4 x 7

I wrote to show using distributive property to show 4 x 7= 28

So, There are 28 days in February.

2. Suppose Lea’s calendar shows 6 weeks of activities. How many days does the calendar show?

How can you use a fact you know? Multiply.

A. Start with a fact you know, such as a 5s fact. What 5s fact do you know that is related to the problem?

6 × 7 =

5 × 7 + __ = ___

6 × 7 = ___

B. Then you add a group of 7. The calendar shows ___ days.

Answer:

6 x 7 = 42

Explanation:

Lea’s calendar shows 6 weeks of activities

6 x 7

= 5 x 7 + 7

= 35 + 7

= 42

So, 6 x 7 = 42

Therefore, the calendar shows 42 days.

**Turn and Talk** Why can you use the Distributive Property or facts you know as strategies to multiply with the factor 7?

Answer:

We can use the Distributive Property or facts you know as strategies to multiply with the factor 7 to find the product easily.

**Step It Out**

3. Mila plans to practice for a dance performance for 7 weeks. She will practice 5 days each week. How many days will Mila practice?

You can change the order of the factors and the product is the same.

A. Complete the equations using the Commutative Property of Multiplication.

7 × 5 = , so 5 × 7 = .

5 × __ = ___, so 7 × ___ = ___.

Mila will practice for ___ days.

Answer:

Mila will practice for 35 days.

Explanation:

Mila plans to practice for a dance performance for 7 weeks

She will practice 5 days each week

5 × 7 = 5 x ( 5 + 2 )

= (5 x 5) + (5 x 2)

= 25 + 10

= 35

5 x 7 = 35

So, 7 x 5 = 35

Mila will practice for 35 days.

**Turn and Talk** Can you use the Associative Property of Multiplication to solve the problem? Explain.

Answer:

No i cannot use associative property to solve the problem as there are only 2 numbers to find the product.

Associative property can be used to find the product of 3 numbers.

**Check Understanding Math Board**

Question 1.

Derek took 3 photographs each week for 7 weeks. How many photographs did Derek take?

Answer:

21

Explanation:

Derek took 3 photographs each week for 7 weeks

3 x 7

= 3 x (4 + 3)

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

= 12 + 9

= 21

So, Derek took 21 photographs in 7 weeks.

**Find the product.**

Question 2.

7 × 2 = ___

Answer:

14

Explanation:

7 x 2

= (7 x 1) + (7 x 1)

= 7 + 7 = 14

So, 7 x 2 = 14.

Question 3.

___ = 8 × 7

Answer:

56

Explanation:

8 x 7 =

8 x (4 + 3)

= (8 x 4) + (8 x 3)

= 32 + 24

= 56

So, 8x 7 = 56.

Question 4.

7 × 6 = ___

Answer:

42

Explanation:

7 x 6

= 7 x (3 + 3)

=(7 x 3) + (7 x 3)

= 21 + 21

= 42

So, 7 x 6 = 42.

Question 5.

__ = 3 × 7

Answer:

21

Explanation:

3 x 7

= 3 x (4 + 3)

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

= 12 + 9

= 21

So, 3 x 7 = 21.

Question 6.

Answer:

Explanation:

The product of 5 and 7 is 35

So, 5 x 7 = 35.

Question 7.

Answer:

Explanation:

The product of 1 and 7 is 7

So, 1 x 7 = 7.

Question 8.

Answer:

Explanation:

The product of 7 and 4 is 28

So, 7 x 4 = 28.

Question 9.

Answer:

Explanation:

The product of 7 and 7 is 49

So, 7 x 7 = 49.

Question 10.

Answer:

Explanation:

The product of any number with 0 is 0

So, 7 x 0 = 0.

Question 11.

Answer:

Explanation:

The product of 7 and 9 is 63

So, 7 x 9 = 63.

**On Your Own**

Question 12.

**Use Structure** Jana is placing 7 tiles in each row. She will make 6 rows. How many tiles will Jana place?

Complete the array to show the problem. Draw a vertical line to break apart the array into two smaller arrays.

Jana will place ___ tiles.

Answer:

Explanation:

Jana is placing 7 tiles in each row

She will make 6 rows

I drew a vertical line to make apart 7 as 4 and 3

6 x 7

= 6 x (4 + 3 )

= (6 x 4) + (6 x 3)

= 24 + 18

= 42

So, Jana will place 42 tiles.

**Complete the equations using the Commutative Property of Multiplication.**

Question 13.

7 × 3 =

3 × ___ = ___, so 7 × ___ = ___.

Answer:

21

Explanation:

3 x 7 = 3 x (4 + 3)

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

= 12 + 9

= 21

3 x 7 = 21

So, 7 x 3 = 21.

Question 14.

7 × 5 =

5 × ___ = ___, so 7 × ___ = ___.

Answer:

35

Explanation:

5 × 7 = 5 x ( 5 + 2 )

= (5 x 5) + (5 x 2)

= 25 + 10

= 35

5 x 7 = 35

So, 7 x 5 = 35.

**Find the product.**

Question 15.

8 × 7 = ___

Answer:

56

Explanation:

8 x 7 =

8 x (4 + 3)

= (8 x 4) + (8 x 3)

= 32 + 24

= 56

So, 8x 7 = 56.

Question 16.

10 × 7 = __

Answer:

70

Explanation:

10 x 7

Any number multiplied by 10 has 0 in ones place and the number itself in tens place

So, 10 x 7 = 70.

Question 17.

__ = 7 × 4

Answer:

28

Explanation:

7 x 4 =

4 x 7 = 4 x ( 4 + 3 )

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

= 16 + 12

= 28

So, 7 x4 = 28.

Question 18.

5 × 7 = ___

Answer:

35

Explanation:

5 × 7 = 5 x ( 5 + 2 )

= (5 x 5) + (5 x 2)

= 25 + 10

= 35

So, 5 x 7 = 35.

Question 19.

Answer:

Explanation:

The product of 9 and 7 is 63

So, 9 x 7 = 63.

Question 20.

Answer:

Explanation:

The product of 7 and 7 is 49

So, 7 x 7 = 14.

Question 21.

Answer:

Explanation:

The product of 7 and 3 is 21

So, 7 x 3 = 21.

Question 22.

Answer:

Explanation:

The product of any number with 0 will be 0

So, 0 x 7 = 0

Question 23.

Answer:

Explanation:

The product of 6 and 7 is 42

So, 6 x 7 = 42.

Question 24.

Answer:

Explanation:

The product of 7 and 2 is 14

So, 7 x 2 = 14.

**I’m in a Learning Mindset!**

What strategies did I use to organize the information for Problem 12?

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