We included HMH Into Math Grade 3 Answer Key PDF Module 5 Lesson 4 Multiply Multiples of 10 by 1-Digit Numbers to make students experts in learning maths.
HMH Into Math Grade 3 Module 5 Lesson 4 Answer Key Multiply Multiples of 10 by 1-Digit Numbers
I Can use properties, place value, regrouping, and concrete and visual models to find a product when one factor is a multiple of 10.
Spark Your Learning
Darvin needs $200 to buy a new pottery wheel. So far, he has sold 7 bowls for $30 each. Does Darvin have enough money to buy the new wheel?
Show how you can solve the problem.
Turn and Talk Suppose one of Darvin’s customers returns a cracked bowl. If Darvin gives her $30 back, will he still have enough for his new wheel? Explain how you know.
Answer:
Given that;
Darvin needs to buy a new pottery wheel = $200
He sold = 7 bowls
Each bowl cost = $30
Therefore 7 bowls × $30 = $210
Darvin has enough money to buy a new pottery wheel.
The customer returns a cracked bowl then Darvin gives her = $30
After returning back $210 – $30 = $180
Now, Darvin has not had enough money to buy a new pottery wheel.
Build Understanding
1. Alla asks 5 friends to help build a computer application. She pays each friend $30. How much does Alla pay her friends?
Show equal groups.
A. How many groups of 30 do you need?
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Answer:
5 × 30 = 150
How can you show the groups of 30?
Answer:
Multiplying 5 groups of 30 = 5× 30
Draw a stick for each ten.
Answer:
Here each stick is 10. So, 15 sticks × 10 = 150
Draw a square for each hundred.
Answer:
Here there are 1 hundred and 5 tens
square equal to hundred and stick equal to ten.
B. How can you regroup the tens as hundreds?
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Answer:
5 × 30 = 150 tens
150 = 1 hundred 50 tens.
150 = 150.
C. What is the product?
Alla pays her friends ___
Answer:
5 × 30 = 150.
The product is 150.
Turn and Talk How can you use mental math to tell whether you need to regroup?
Connect to Vocabulary
You have learned that to regroup is to exchange amounts of equal value to rename a number. You can use place value to regroup multiples of 10.
Step It Out
2. Fred sells 6 chess sets for $40 each at a craft show. How much money does he make?
A. Complete the visual model to show 6 groups of 40.
Answer:
6 × 40 = 240.
B. Combine the tens. Show how to regroup the tens as hundreds.
Answer:
6 × 40 = 240
240 = 2 hundreds 40 tens.
C. Write the product. _______
Answer:
6 × 40 = 240
240 is the product.
D. Use place value to find the product.
Multiply the ones: 6 × 0 ones = ___ ones
Answer:
Ones place value is 0
6 × 0 = 0
E. Multiply the tens: 6 × 4 tens = ___ tens
Answer:
F. Write the product. Fred makes ___
Is the product the same using both methods? Explain why or why not.
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Answer:
Fred makes 5 × 6 = 30
30 is the product
Turn and Talk Which multiplication method works best for you? Explain why you like that method best.
Check Understanding Math Board
Question 1.
A chair Costs $70. How much do 3 chairs cost? Find the product.
Answer:
Given that;
The chair cost = $70
The cost of 3 chairs = 3× $70 = $210
Question 2.
6 × 30 = ___
Answer:
6 × 30 = 180
Multiply 6 with 30 then we get 180.
Question 3.
__ = 50 × 8
Answer:
400 = 50 × 8
Multiply 50 with 8 then we get 400.
Question 4.
7 × 40 = ___
Answer:
7 × 40 = 280
Multiply 7 with 40 then we get 280.
On Your Own
Question 5.
Use Structure Explain why the product 2 × 80 and 8 × 20 are the same.
Answer:
The product of two numbers is the result when we multiply them together. So,
2 × 80 = 160
8 × 20 = 160
Find the product.
Question 6.
4 × 30 = ___
Answer:
4 × 30 = 180
Multiplying 4 with 30 then we get 180.
Question 7.
5 × 20 = ___
Answer:
5 × 20 = 100
Multiplying 5 with 20 we get 100.
Question 8.
___ = 7 × 80
Answer:
560 = 7 × 80
Multiplying 7 with 80 then we get 560.
Question 9.
___ = 60 × 6
Answer:
360 = 60 × 6
Multiplying 60 with 6 then we get 360
Question 10.
4 × 90 = ___
Answer:
4 × 90 = 360
Multiplying 4 with 90 then we get 360.
Question 11.
80 × 9 = ___
Answer:
80 × 9 = 720
Multiplying 80 with 9 then we get 720.
Question 12.
Answer:
Multiplying 90 with 3 we get 270
Question 13.
Answer:
Multiplying 50 with 9 then we get 450.
Question 14.
Answer:
Multiplying 70 with 6 when we get 420.
Question 15.
Use Structure Rare comic books cost $9 each. There are 40 comic books in a set. How much would it cost to buy all the comic books in a set? Show your work.
Answer:
Given that,
Cost of each Rare comic book = $9
Total number of comic books = 40
The total cost of comic books = 40 × $9 = $360
I’m in a Learning Mindset!
How effective are my efforts in learning how to multiply with multiples of 10?
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Answer:
When we multiply a number by 10. First, we add zero to the end of the factor we are multiplying.