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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