We included HMH Into Math Grade 4 Answer Key PDF Module 8 Lesson 1 Multiply with Tens to make students experts in learning maths.
HMH Into Math Grade 4 Module 8 Lesson 1 Answer Key Multiply with Tens
I Can use different strategies to multiply with multiples of ten.
Spark Your Learning
The coding club uses a coding website that has 20 projects. Each project takes 24 steps to complete. During a session, the club will complete all of the projects. What multiplication strategy can you use to find out how many steps the club will work through?
Answer:
Given,
The coding club uses a coding website that has 20 projects.
Each project takes 24 steps to complete.
During a session, the club will complete all of the projects.
So, 20 x 24 = 480.
Therefore, the project takes 480 steps the club will work thoroughly.
The multiplication strategy used is multiplying the number of projects and the number of steps in each project.
Show your thinking.
Turn and Talk How can you solve the problem using a different strategy?
Build Understanding
1. The coding club meets for 60 minutes each week for 16 weeks. How many minutes will they meet during the 16-week period?
Answer:
Given,
The coding club meets for 60 minutes each week for 16 weeks.
So, 16 x 60 = 960
Therefore, 960 minutes they will meet during the 16-week period.
A. How can you rename one of the factors using place value?
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Show how you can use place value to find the product.
B. How did using place value help you to solve the problem?
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Turn and Talk How can you use place value and the Commutative Property of Multiplication to solve a multiplication problem that has a ten?
2. It takes 12 lines of code to move a character through an obstacle course. Adrian wants to move 30 characters through the course. How many lines of code will she write?
How can you find 30 × 12 using different methods?
A. Use the Associative Property of Multiplication.
- How can you rename one of the factors as a product of a number and 10?
- 30 × 12 = ( ___ × ___) × 12 What is another way to think of 30?
- How can you use the Associative Property of Multiplication to solve?
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Answer:
30 can be written as 3 x 10
So, 30 x 12 = ( 3 × 10 ) × 12 = 10 x ( 3 x 12 ) = 36 x 10 = 360.
B. Use halving and doubling to find the product.
- Of which factor can you find half to make the problem simpler? Why?
______________________________ - ___ × ___ = ___ What is the product of the half and the other factor?
- You found half of the product. What can you do to find the final product?
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Answer:
I will half 12 and will write as 6 + 6
So, 12 = 6 x 2.
Now,
6 × 30 = 180 is the half of the product and to find the full product, double the answer we get.
So, 180 x 2 = 360.
C. Adrian will write ___ lines of code.
Answer:
Adrian will write 360 lines of code.
Check Understanding Math Board
Choose a method to solve the problem.
Question 1.
How many paper clips are in 20 boxes?
Answer:
Given,
Number of boxes = 20
Number of paper clips in each box = 75
So, 20 x 75 can be found by finding half of the product first and finding the full product by making it double.
20 x 75 = ( 2 x 10 ) x 75 = 2 x 750 = 1500.
Therefore, there will be 1500 paper clips in 20 boxes.
On Your Own
Question 2.
Reason Eva puts 70 rubber bands of each color in the container. She says she has 1,470 rubber bands. What strategy will you use to determine if she is correct? Why?
Answer:
Given,
Eva puts 70 rubber bands of each color in the container.
She says she has 1,470 rubber bands.
Number of colours is 3 x 7 = 21
So, 70 x 21, this product can be found by writing numbers as multiples of 10
70 x 21 = ( 7 x 10 ) x 21 = ( 7 x 21 ) x 10 = 147 x 10 = 1470.
Yes. She is correct.
Question 3.
Open Ended Show how you can find the product 15 × 90 in your own way.
Answer:
We can find the product by writing the numbers as multiples as 10
Given, 15 x 90
15 x 90 = 15 x 9 x 10 = ( 9 x 15 ) x 10 = 135 x 10 = 1,350
Therefore, 15 x 90 = 1,350.
Question 4.
STEM Millions of documents, thousands of hours of music, and as many as 25,000 photos can be stored on a 64-gigabyte flash drive. How many gigabytes of data can be stored on 20 flash drives of this size?
Answer:
Given,
Number of flash drives = 20
64 gigga byte flash drive
So, 20 x 64 = ( 2 x 10 ) x 64 = ( 2 x 64 ) x 10 = 128 x 10 = 1280
Therefore, 1280 gigabytes of data can be stored on 20 flash drives of this size.
Choose a method. Then find the product.
Question 5.
80 × 29 = ____
Answer:
We can find the product by writing the numbers as multiples as 10
Given, 80 x 29
80 x 29 = 8 x 10 x 29 = ( 8 x 29 ) x 10 = 232 x 10 = 2,320
Therefore, 80 x 29 = 2,320.
Question 6.
35 × 30 = ___
Answer:
We can find the product by writing the numbers as multiples as 10
Given, 35 x 30
35 x 30 = 35 x 3 x 10 = ( 35 x 3 ) x 10 = 105 x 10 = 1,050
Therefore, 35 x 30 = 1,050.
Question 7.
90 × 16 = ____
Answer:
We can find the product by writing the numbers as multiples as 10
Given, 90 x 16
90 x 16 = 9 x 10 x 16 = (9 x 16 ) x 10 = 144 x 10 = 1,440
Therefore, 90 x 16 = 1,440.
I’m in a Learning Mindset!
What challenges did you face in this lesson?
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Answer:
Choosing the appropriate method for product calculation is what I have faced in this lesson.