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Name
14.5
?
Multiplication Comparisons
Essential Question
How can you model and describe multiplication comparisons?
You can use multiplication to compare amounts.
3 times as many as 5.
5
5
Algebraic
Reasoning—3.5.C
MATHEMATICAL PROCESSES
3.1.D, 3.1.E, 3.1.F
5 times as many as 3.
5
5
3
3
3
3
3
An expression is part
of a number sentence
that has numbers
and operation signs
but does not have an
equal sign.
3
3 × 5 ← multiplication expressions → 5 × 3
Unlock
Unlock the
the Problem
Problem
Carly has 9 pennies. Jack has 4 times as much money as
Carly. How can you use multiplication to show how much
money Jack has compared to Carly?
Draw a model and write an expression.
Use the model to write an expression.
Carly
_×_
Describe the expression as a comparison.
Jack
_ times as much as _
Example
Amelia made 8 cups of lemonade. Nathan made 4 × 8 cups of lemonade.
They each wrote a comparison to describe the expression 4 × 8.
© Houghton Mifflin Harcourt Publishing Company
Amelia wrote: 4 times as much as 8
Nathan wrote: 4 more than 8
Who described the expression correctly? Explain.
Module 14
455
Share
Share and
and Show
Show
1.
There are 8 students in the art club. There are 3 times
as many students in chorus. Draw a model and write
a multiplication expression to represent the number
of students in chorus compared to the art club.
Math Talk
Mathematical Processes
Explain how strip diagrams
help you describe the
multiplication.
_×_
Draw a model and write a multiplication expression to
represent the comparison.
2.
6 times as many as 2
3.
4 times as much as 5
4.
3 times as much as 9
5.
8 times as many as 6
Describe the multiplication expression as a comparison.
9×2
7.
_ times as many as _
8.
5×7
_ times as much as _
456
8×4
_ times as much as _
9.
6×9
_ times as many as _
© Houghton Mifflin Harcourt Publishing Company
6.
Name
© Houghton Mifflin Harcourt Publishing Company
Problem
Problem Solving
Solving
10.
Use the picture at the right. John’s big
dog eats 10 times as much food as his cat
eats. Write a multiplication expression to
represent the amount of food that John’s dog
eats compared to his cat.
11.
Pose a Problem Write a
problem about pet food that could be
represented using the expression 4 × 3.
12.
Multi-Step Nando has 4 goldfish.
Jill has 3 goldfish. Cooper has 2 times as many
goldfish as Nando and Jill have combined.
Write an expression that compares the number
of goldfish that Cooper has with the number of
goldfish that Nando and Jill have in all.
13.
Representations How would
the strip diagrams that represent 5 times as
much as 11 look different from the strip
diagrams that represent 50 times as much as 11?
Write Math
Show Your Work
Module 14 • Lesson 5
457
Mathematical Processes
M
Model ¥ Reason ¥ Communicate
M
Daily
Daily Assessment
Assessment Task
Task
Fill in the bubble for the correct answer choice.
14. Multi-Step
Karen has 2 blue hats, 3 green hats, and 1 red hat.
Jonah has 3 times as many hats as Karen. Which expression
represents the number of hats that Jonah has compared
to Karen?
15.
16.
A
3×7
C
6×3
B
3×6
D
3+7
Joseph’s dog weighs 10 pounds. Shaunda’s dog weighs
5 times as many pounds as Joseph’s dog. Which expression
represents the weight of Shaunda’s dog compared to
Joseph’s dog?
A
5 + 10
C
10 × 5
B
10 × 10 × 10 × 10
D
5 × 10
Use Math Language Juan has 21 pretzels. Eric’s pretzels
can be represented by 6 × 21. Which comparison statement
best describes the expression?
A
Eric has 6 more pretzels than Eric.
B
Juan has 21 more pretzels than Eric
C
Eric has 6 times as many pretzels as Juan.
D
Juan has 6 fewer pretzels than Eric.
17.
Use Math Language Which comparison describes
the multiplication expression?
8×4
458
A
8 more than 4
C
4 less than 8
B
4 more than 8
D
8 times as many as 4
© Houghton Mifflin Harcourt Publishing Company
TEXAS Test Prep
H o mewo rk
and Practice
14.5
Algebraic Reasoning—3.5.C
MATHEMATICAL PROCESSES 3.1.D, 3.1.E, 3.1.F
Name
Multiplication Comparisons
Draw a model and write a multiplication expression
to represent the comparison.
1.
4 times as many as 7
2.
5 times as many as 3
Describe the multiplication expression as a comparison.
3.
7×6
4.
_ times as many as _
5.
8×5
3×8
_ times as many as _
6.
_ times as many as _
9×2
_ times as many as _
Problem
Problem Solving
Solving
12 YO-YOs
© Houghton Mifflin Harcourt Publishing Company
Use information in the pictures for 7–9.
7.
The toy store has 4 times as many whistles as yo-yos.
Write a multiplication expression to represent the
number of whistles compared to yo-yos.
8.
Write a comparison statement about
the wind-up ducks that could be
described using the expression 10 × 5.
9.
3 TOPS
The toy store has 8 times as many
soccer balls as spinning tops. Write
a multiplication expression to
represent the number of soccer balls
compared to spinning tops.
Module 14 • Lesson 5 459
TEXAS Test Prep
Lesson
Lesson Check
Check
Fill in the bubble completely to show your answer.
12.
14.
460
Evelyn sells 5 boxes of greeting
cards. Sam sells 3 times as many
boxes as Evelyn. Which expression
represents the number of boxes that
Sam has compared to Evelyn?
11.
Kaitlin collects 6 bottle caps for a
prize. Jin collects 4 times as many
bottle caps as Kaitlin. Which
expression represents the number
of bottle caps that Jin collects
compared to Kaitlin?
A
5×5×5
B
5+3
A
6+4
C
5−3
B
6×6×6×6
D
3×5
C
4×6
D
4×4×4×4×4×4
Farrah has 18 crayons. John’s
crayons can be represented by
2 × 18. Which comparison
statement describes the expression?
13.
Justin writes the multiplication
expression 3 × 9. Which comparison
statement describes the expression
that Justin wrote?
A
18 more than 2
A
3 more than 9
B
2 times as many as 18
B
9 more than 3
C
2 more than 18
C
3 times as many as 9
D
2 fewer than 18
D
3 fewer than 9
Multi-Step Bev has 5 books. She
buys 3 more books. Dell has
3 times as many books as Bev.
Which expression represents the
number of books that Dell has
compared to Bev?
15.
Multi-Step Ryan has 5 crayons.
He gets 4 more. Cindi has 6 times
as many crayons as Ryan. Which
expression represents the number
of crayons that Cindi has compared
to Ryan?
A
3×8
C
5×8
A
9+6
C
4×6
B
3×3
D
3×5
B
6×9
D
6×5
© Houghton Mifflin Harcourt Publishing Company
10.