We included **HMH Into Math Grade 3 Answer Key**** PDF** **Module 5 Lesson 3 Use Place Value Strategies to Multiply with Multiples of 10** to make students experts in learning maths.

## HMH Into Math Grade 3 Module 5 Lesson 3 Answer Key Use Place Value Strategies to Multiply with Multiples of 10

**Use Place-Value Strategies to Multiply with Multiples of 10**

I Can use place value to find a product when one factor is a multiple of 10.

**Spark Your Learning**

Alix swims 30 minutes each day for 5 days. Jed swims 160 minutes during those same 5 days. Who spends more time swimming?

**Show how you can solve the problem.**

**Turn and Talk** If she swims 30 minutes each day, how many minutes does Aux swim in 6 days? Is this amount of time greater or less than the time Jed swims?

Answer:

Given that,

The Alix swims 30 minutes each day for 5 days. = 30 × 5 = 150 minutes.

The Jed swims 160 minutes during those same 5 days = 160 × 5 = 800 minutes.

Therefore Jed swims more time then Alix.

The Alix swims 30 minutes each day for 6 days = 30 × 6 = 180.

Now also the Alix is less than Jed.

**Build Understanding**

1. Olivia practices the violin 3 days each week. Each practice session lasts 40 minutes. How many minutes does Olivia practice each week?

Use groups of tens to show Olivia’s practice time.

**Connect to Vocabulary**

You have learned that each digit in a number has a place value. Multiples of 10 have a 0 in the ones place.

Examples: 10, 40, 130

**Use groups of tens to show Olivia’s practice time.**

A. How can you write 40 as a group of tens? ___ tens

Answer:

40 has a group of 4 tens.

B. How can you use place value to find the number of tens?

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Answer:

Place value is the value of each digit in a number.

suppose we have 40 the tens place is 4.

C. How many minutes a week does Olivia practice?

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Answer:

Given that,

The total number of days that Olivia practices the violin 3 days each week.

The total number of minutes each practice session lasts 40 minutes.

Therefore 3 × 40 = 120 minutes.

D. How does the visual representation you made above compare to the product you found using place value?

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**Turn and Talk** Explain why it is easy to multiply by groups of tens, or multiples of 10.

**Step It Out**

2. Aubrey attends dance practice 3 days a week. Each dance practice lasts 30 minutes. For how

many minutes does Aubrey attend dance practice each week?

A. Write 30 as a multiple of 10.

30 = ____ × ____ Think: 30 equals how many tens

Answer:

30 = 3 × 10

30 equals 3 tens.

B. Write a multiplication equation for the problem to show multiplying with tens.

3 × 30 = ___ × __ tens

= ___ tens = ___

Answer: 90

3 × 30 = 3 × 3 tens

= 9 tens = 90.

C. Aubrey attends dance practice for ____ minutes each week.

Answer:

Aubrey attends dance practice for 90 minutes each week.

3 multiply with 30 minutes we get 90 minutes.

**Turn and Talk** How is using the place-value strategy to multiply like using the Associative Property of Multiplication to find a product? How is it different?

**Check Understanding Math Board**

Question 1.

Kenny walks his dog 4 days a week. Each walk lasts 20 minutes. How many minutes does Kenny walk his dog each week? _____

Answer: 80 minutes

Given

Kenny walks his dog 4 days a week.

Each walk lasts 20 minutes.

To find How many minutes does Kenny walks his dog each week

we have to multiply 4 days with 20 minutes we get 80 minutes.

**Use place value to find the number of tens. Find the product.**

Question 2.

7 × 60 = 7 × __ tens

= ___ tens

= ___

Answer: 420

7 × 60 = 7 × 6 tens

= 42 tens

= 420

Question 3.

50 × 7 = __ tens × 7

= ___ tens

= ___

Answer: 350

50 × 7 = 5 tens × 7

= 35 tens

= 350

**Step It Out**

2. Aubrey attends dance practice 3 days a week. Each dance practice lasts 30 minutes. For how many minutes does Aubrey attend dance practice each week?

A. Write 30 as a multiple of 10.

30 = ___ × __ = ___ tens Think: 30 equals how many tens?

Answer:

30 = 3 × 10

30 equals 3 tens.

B. Write a multiplication equation for the problem to show multiplying with tens.

3 × 30 = __ × ___ tens

= __ tens = ___

Answer: 90

3 × 30 = 3 × 3 tens

= 9 tens = 90.

C. Aubrey attends dance practice for __ minutes each week.

Answer:

Aubrey attends dance practice for 90 minutes each week.

3 multiply with 30 minutes we get 90 minutes.

**Turn and Talk** How is using the place-value strategy to multiply like using the Associative Property of Multiplication to find a product? How is it different?

**Check Understanding Math Board**

Question 1.

Kenny walks his dog 4 days a week. Each walk lasts 20 minutes. How many minutes does Kenny walk his dog each week? ___

Answer: 80 minutes.

Given that,

The total number of weeks does the dog walks = is 4 days a week.

The total number of minutes that the dog walks = 20 minutes.

Therefore the total number of minutes that the dog walks for each week = 4 × 20 80 minutes.

**Use place value to find the number of tens. Find the product.**

Question 2.

7 × 60 = 7 × __ tens

= ___ tens

= ____

Answer:420

7 × 60 = 7 × 6 tens

= 42 tens

= 420

Question 3.

50 × 7 = __ tens × 7

= ___ tens

= ___

Answer: 350

50 × 7 = 5 tens × 7

= 35 tens

= 350

**On Your Own**

Question 4.

**Construct Arguments** Bill finds the product 6 × 80, and Jose finds the product 50 × 9. Bill says his product has a greater number of tens than Jose’s product. Is Bill correct? Explain.

Answer: Yes

Given,

Bill finds the product 6 × 80

by multiplying 6 with 80 we get 480 which is 48 tens

and Jose finds the product 50 × 9

by multiplying 50 with 9 we get 450

that is 45 tens

hence 48 tens are greater than 45 tens

so the bill is correct.

**Use place value to find the number of tens. Find the product.**

Question 5.

3 × 20 = ___ × __ tens

= __ tens

= ___

Answer: 60

3 × 20 = 3 × 2 tens

= 6 tens

= 60

Question 6.

50 × 2 = __ tens × ___

= __ tens

= __ tens

Answer: 100

50 × 2 = 5 tens × 2

= 10 tens

= 10 tens

Question 7.

**STEM** A giant sequoia tree grows an average of 2 feet a year. Almost all of that growth occurs in the warm months of the year. During fall, only the tree’s roots keep growing. If a ranger plants a sequoia one year, by how many feet will its height increase after 40 years?

Answer: 80 feets

Given,

A giant sequoia tree grows an average of 2 feet a year.

To find how many feet will its height increase after 40 years

multiply 2 feet with 40 year

we get 80 feets

**I’m in Learning Mindset!**

What strategies did I use for organizing the information when multiplying with multiples of 10?

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