We included HMH Into Math Grade 3 Answer Key PDF Module 3 Lesson 2 Multiply with 5 and 10 to make students experts in learning maths.
HMH Into Math Grade 3 Module 3 Lesson 2 Answer Key Multiply with 5 and 10
I Can use different strategies to multiply with the factors 5 and 10 and solve equal groups problems.
Spark Your Learning
A nickel has a value of 5 cents. Choose any number of nickels from 1 to 5. Write the value of your nickels in cents. Then add one more nickel. What is the value now?
Show one way to solve the problem.
First, I had ___ nickels.
The value is ____
Now, I have ___ nickels.
The value is ___.
Answer:
Explanation:
A nickel has a value of 5 cents
I chose the number 4 from 1 to 5
First, I had 4 nickels
4 x 5 = 20
The value is 25 cents
Now, I have 5 nickels
1 more nickel
5 x 5 = 25
Or 20 + 5 = 25
The value is 25 cents.
Turn and Talk How is adding more nickels like counting by 5s?
Answer:
Value of each nickel is 5 cents so, adding more nickel will increase the value by 5
So, adding more nickel is like counting by 5’s.
Build Understanding
1. Talia has a stack of 7 nickels. What is the value of Talia’s nickels in cents?
Count equal groups to find the value of Talia’s nickels. Show your solution.
A. What number will you count by ? ____
How many numbers will you say ? ____
B. What multiplication equation can you write to model this problem? ____
C. What is the value of Talia’s nickels in cents? _____
Answer:
Explanation:
Talia has a stack of 7 nickels
I will say 7 numbers
A nickel has a value of 5 cents
I will count by 5’s
The multiplication equation that model the problem is
7 x 5 = 35
The value of Talia’s nickels is 35 cents.
Turn and Talk If Talia finds one more nickel, what multiplication equation would show this? What pattern do you see for multiplying with 5?
Answer:
Talia has already 7 nickels
If she finds 1 more nickel the number of nickel is 7 + 1 = 8
Each nickel has a value of cents
So, the multiplication equation is 8 x 5 = 40 cents
I see the pattern of counting by 5’s when i multiply by 5.
2. A dime has a value of 10 cents. Leo has 5 dimes in his pocket. What is the value of Leo’s dimes in cents?
A. To find the value of Leo’s dimes on a number line, how many jumps would you draw? Explain.
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B. How do you know how many spaces you would jump on the number line? Explain.
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Show the jumps on the number line.
C. Which numbers did you land on?
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D. What multiplication equation can you write to model this problem?
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E. What is the value of Leo’s dimes?
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Answer:
Explanation:
A dime has a value of 10 cents
Leo has 5 dimes in his pocket
To find the value of Leo’s dimes on a number line
I would draw 5 jumps on the number line as Leo has 5 dimes
I will jump 10 spaces on the number line as dime has value of 10 cents
I would land on the number 50
The multiplication equation that model the problem is 5 x 10 = 50
So, Leo’s dimes has a value of 50 cents.
Connect to Vocabulary
You previously learned that a is the result of multiplying factors. A multiple of a number is any product that has that number as one of its factors. A multiple of 10 is any product that has 10 as
one of its factors.
1 × 10 = 10, 2 × 10 = 20, 3 × 10 = 30, so 10, 20, and 30 are multiples of 10.
Turn and Talk What do you notice about the multiples of 10?
Answer:
Multiples of 10 are the numbers like 10, 20, 30, 40, 50, 60 and so on
Multiples of 10 has 10 as its one of the factor
So, multiples of 10 have a zero in ones place and the number with which we multiply in the tens place.
Step It Out
3. Pasha makes a stack with 3 dimes. What is the value in cents of the stack of dimes?
Complete the bar model to show equal groups.
A. How many more boxes do you need to draw? Explain.
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B. What number do you write in each box? Explain.
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C. What multiplication equation can you write? ____
D. What is the value of the 3 dimes? ____
Answer:
Explanation:
Pasha makes a stack with 3 dimes
There is 1 box as Pasha has 3 dimes i need to draw 2 more boxes
I wrote the number 10 in the box as value of dime is 10 cents
The multiplication equation that model the problem is 3 x 10 = 30
So, the value of Pasha’s 3 dimes is 30 cents.
Turn and Talk How is using a bar model like using a number line?
Check Understanding Math Board
Question 1.
Aria has a stack of 6 nickels. What is the value in cents of Aria’s nickels? _______
- Draw a bar model to show the problem.
- Write the multiplication equation. ________
Answer:
Explanation:
Aria has a stack of 6 nickels
I drew 6 boxes as Aria has 6 nickels
I wrote the number 5 in each box as value of 1 nickel is 5 cents
The multiplication equation that models the problem is 6 x 5 = 30
So, The value of Aria’s nickel is 30 cents.
Question 2.
Drew makes a stack with 8 dimes. What is the value in cents of the stack of dimes? _____
Answer:
80 cents
Explanation:
Drew makes a stack with 8 dimes
Each dime has a value of 10 cents
The multiplication equation that model the problem is
8 x 10 = 80
So, value of 8 dimes is 80 cents.
On Your Own
Question 3.
Use Tools A rabbit hops 9 times. The length of each hop is 5 feet. How many feet does the rabbit hop in 9 hops?
- Draw jumps on the number line to represent the problem.
- The rabbit hops ___ in 9 hops.
Answer:
Explanation:
A rabbit hops 9 times
I drew 9 jumps on the number line
The length of each hop is 5 feet
I count by 5 for the jumps
I land on the number 45
So, the rabbit hops 45 feet in 9 hops.
Question 4.
Repeated Reasoning How can you use this number line to find the first 5 multiples of 10?
- What are the first 5 multiples of 10?
10, _________ - What is 5 × 10? ___
Answer:
Explanation:
I used the number lines to find the 5 multiples of 10
I drew 5 jumps
I counted by 10’s
I land at the number 50
The 5 multiples of 10 are 10, 20, 30, 40 and 50
And 5 x 10 = 50.
Question 5.
Model with Mathematics Rafi stacks 6 bars of soap. Each bar of soap weighs 10 ounces. What is
the weight in ounces of the soaps?
- Write a multiplication equation and solve the problem.
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Answer:
60 ounces
Explanation:
Rafi stacks 6 bars of soap
Each bar of soap weighs 10 ounces
The multiplication equation that model the problem is
6 x 10 = 60
So, the 6 soaps way 60 ounces.
On Your Own
Question 6.
Repeated Reasoning How can you use a number line to find the first 10 multiples of 5?
- What are the first 10 multiples of 5?
5, ________ - Do you think this pattern will continue for the next 10 multiples of 5? Explain.
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Answer:
Explanation:
I used the number lines to find the 10 multiples of 5
I drew 10 jumps
I counted by 5’s
I land at the number 50
The 10 multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45 and 50
Yes, the pattern will continue for the next ten multiples of 5 as multiples of 5’s are count by 5’s.
Find the product.
Question 7.
5 × 3 = ___
Answer:
Explanation:
I drew 3 jumps of 5
5 x 3 = 15
The product of 5 and 3 is 15.
Question 8.
___ = 10 × 2
Answer:
Explanation:
I drew 2 jumps of 10
10 x 2 = 20
The product of 10 and 2 is 20.
Question 9.
7 × 5 = ___
Answer:
Explanation:
I drew 7 jumps of 5
7 x 5 = 35
The product of 7 and 5 is 35.
Question 10.
Answer:
Explanation:
I drew 9 jumps of 5
9 x 5 =45
The product of 9 and 5 is 45.
Question 11.
Answer:
Explanation:
I drew 6 jumps of 10
10 x 6 = 60
The product of 10 and 6 is 60.
Question 12.
Answer:
Explanation:
I drew 6 jumps of 5
6 x 5 = 30
The product of 6 and 5 is 30.
Question 13.
Answer:
Explanation:
I drew 8 jumps of 10
8 x 10 = 80
The product of 8 and 10 is 80.
Question 14.
Answer:
Explanation:
I drew 4 jumps of 10
4 x10 = 40
The product of 10 and 4 is 40.
I’m in a Learning Mindset!
Is my answer to Problem 6 the best answer? How do I know?
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