Quick Check
Name
11-4A
For 1-3, without multiplying, decide which symbol belongs in the
box: <, >, or =.
1. 2_12 × 1_12
1_12
2. _35 × 1_27
1_27
3. 6_34 × _55
6_34
4. Writing to Explain Gloria and her friends are rolling out
modeling clay for an activity in math class. Gloria rolled
out her clay until it was 18 inches long. Michaela rolled
hers 2_12 times as far. Kris rolled hers _33 as far. Sammi rolled
hers _47 as far. Put the students in order of the length of their
clay from least to greatest. Explain how you found your
answer.
Q 11•4A
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 5
Par tner
Talk
Sh
Get Started
or
or
For Each
Question
How to Win
k.
are
wor
your t
hinking while you
Each player tosses two number cubes.
If your numbers match another player’s numbers, toss again.
Decide who will read the first question. Take turns.
Listen to the reader. Discuss and agree on the correct answer.
Every player who has that answer can remove one cube that
shows the answer.
The first player who removes both cubes wins. Have fun!
a
What is the missing digit in this
factor pair for 45?
, 15
n
What is the missing digit in this
factor pair for 36?
,9
b
What is the missing digit in this
factor pair for 38?
, 19
o
What is the missing digit in this
factor pair for 30? 2, 1
c
What is the missing digit in this
factor pair for 40?
,8
p
What is the missing digit in this
factor pair for 18?
,6
d
What is the missing digit in this
factor pair for 75?
, 75
q
What is the missing digit in this
factor pair for 24?
, 12
e
What is the missing digit in this
factor pair for 48?
, 12
r
What is the missing digit in this
factor pair for 60? 4, 5
f
What is the missing digit in this
factor pair for 54?
,9
s
What is the missing digit in this
factor pair for 75? 3, 2
g
What is the missing digit in this
factor pair for 55? 5, 1
t
What is the missing digit in this
factor pair for 32?
,8
h
What is the missing digit in this
factor pair for 90?
, 18
u
What is the missing digit in this
factor pair for 51?
, 17
i
What is the missing digit in this
factor pair for 96? 8, 1
v
What is the missing digit in this
factor pair for 77? 7, 1
j
What is the missing digit in this
factor pair for 81?
, 27
w
What is the missing digit in this
factor pair for 84? 2. 4
k
What is the missing digit in this
factor pair for 84? 4, 2
x
What is the missing digit in this
factor pair for 65?
, 13
l
What is the missing digit in this
factor pair for 96? 3, 3
y
What is the missing digit in this
factor pair for 27?
,9
m
What is the missing digit in this
factor pair for 21?
,7
z
What is the missing digit in this
factor pair for 72? 3, 2
If you have
more time
Toss two number cubes again. Play another game.
Begin with the next question in the list.
Center Activity H 11-4A
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 5
Par tner
Talk
Sh
Get Started
or
or
For Each
Question
How to Win
k.
are
wor
your t
hinking while you
Each player tosses two number cubes.
If your numbers match another player’s numbers, toss again.
Decide who will read the first question. Take turns.
Listen to the reader. Discuss and agree on the correct answer.
Every player who has that answer can remove one cube that
shows the number in front of that answer.
The first player who removes both cubes wins. Have fun!
a
Which one of these is a factor pair of 110?
1) 2, 55
2) 5, 21
3) 4, 28
n
Which one of these is not a factor pair of 62?
4) 2, 31
5) 1, 62
6) 3, 24
b
Which one of these is not a factor pair of 84?
4) 7, 12
5) 8, 12
6) 6, 14
o
Which one of these is a factor pair of 56?
1) 4, 14
2) 3, 18
3) 7, 9
c
Which one of these is a factor pair of 85?
1) 3, 25
2) 5, 15
3) 5, 17
p
Which one of these is not a factor pair of 84?
4) 7, 12
5) 6, 19
6) 4, 21
d
Which one of these is not a factor pair of 82?
4) 4, 21
5) 2, 41
6) 1, 82
q
Which one of these is a factor pair of 96?
1) 3, 24
2) 8, 12
3) 4, 22
e
Which one of these is a factor pair of 34?
1) 4, 9
2) 2, 17
3) 3, 11
r
Which one of these is not a factor pair of 75?
4) 6, 15
5) 3, 25
6) 5, 15
f
Which one of these is not a factor pair of 102?
4) 2, 51
5) 6, 17
6) 8, 15
s
Which one of these is a factor pair of 27?
1) 4, 6
2) 3, 9
3) 6, 7
g
Which one of these is not a factor pair of 72?
1) 9, 8
2) 4, 36
3) 3, 24
t
Which one of these is not a factor pair of 78?
4) 6, 13
5) 4, 17
6) 2, 39
h
Which one of these is a factor pair of 76?
4) 4, 19
5) 3, 26
6) 6, 12
u
Which one of these is a factor pair of 92?
1) 4, 23
2) 3, 34
3) 7, 12
i
Which one of these is a factor pair of 106?
1) 4, 24
2) 8, 14
3) 2, 53
v
Which one of these is a factor pair of 105?
4) 3, 35
5) 2, 52
6) 8, 15
j
Which one of these is a factor pair of 108?
4) 8, 14
5) 3, 36
6) 7, 16
w
Which one of these is not a factor pair of 112?
1) 4, 28
2) 8, 14
3) 8, 16
k
Which one of these is not a factor pair of 68?
1) 3, 32
2) 4, 17
3) 2, 34
x
Which one of these is a factor pair of 88?
4) 8, 12
5) 6, 14
6) 4, 22
l
Which one of these is a factor pair of 94?
4) 3, 28
5) 4, 26
6) 2, 47
y
Which one of these is not a factor pair of 32?
1) 4, 16
2) 2, 16
3) 4, 8
m
Which one of these is a factor pair of 100?
1) 4, 20
2) 5, 25
3) 4, 25
z
Which one of these is a factor pair of 54?
4) 6, 8
5) 3, 18
6) 4, 9
If you have
more time
Play another game. Begin with the next question in the list.
Or make up your own questions like these.
Center Activity HH 11-4A
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 5
Reteaching
Name
11-4A
Multiplication as Scaling
Think of multiplication as scaling or resizing.
Example 1: 2_12 × 5 > 5
Multiplying a number by a fraction greater than 1 results in a
product greater than the starting number.
Example 2: _34 × 5 < 5
Multiplying a number by a fraction less than 1 results in a
product less than the starting number.
Example 3: _22 × 5 = 5
Multiplying by a fraction equal to 1 results in a product equal
to the starting number.
Without multiplying, decide which symbol belongs in the box:
<, >, or =.
1. 3_12 × 3_13
3_12
2. _23 × 2_13
2_13
3. 8_25 × _55
8_25
4. _34 × 4_23
4_23
5. 4_12 × 1_13
1_13
6. _25 × 5_23
5_23
7. 3_25 × _44
3_25
8. _58 × 8_13
8_13
9. 5_12 × 6_23
10. _38 × 2_13
11. 10_25 × _88
12. _12 × 9_13
6_23
2_13
10_25
9_13
R 11•4A
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 5
Practice
Name
11-4A
Multiplication as Scaling
In 1-20, without multiplying, decide which symbol belongs in the
box: <, >, or =.
1. 2_12 × 3_23
3_23
2. _13 × 9_25
9_25
1_35
3. _45 × 4_23
4_23
4. 1_35 × _66
5. 5_35 × _22
5_35
6. 2_13 × 3_27
3_27
8. 4_12 × 5_23
5_23
7. 6_12 × 7_23
7_23
9. _35 × 8_45
8_45
10. _35 × 6_45
6_45
11. 9_27 × _33
9_27
12. 7_27 × _77
7_27
13. _13 × 1_25
1_25
14. _13 × 8_25
8_25
15. 2_35 × _44
2_35
16. 9_35 × _33
9_35
17. 3_13 × 4_27
4_27
18. 1_23 × 2_25
19. 5_12 × 6_23
5_12
20. 3_13 × _44
2_25
3_13
21. Put the following products in order from least to greatest,
without multiplying.
5 × _34 , 4_14 × _34 , _12 × _34, _33 × _34
22. Put the following products in order from greatest to least,
without multiplying.
6 × _25 , 3_23 × _25 , _27 × _25, _22 × _25
23. Melissa and her friends are stretching rubber bands for an
activity in science class. Melissa stretched her elastic to
10 inches. Juan stretched it 3_21 times as far. Sara stretched it _44
as far. Marsha stretched it _52 as far. Put the students in order of
how far they stretched their rubber bands from least to greatest.
P 11•4A
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 5
Enrichment
Name
11-4A
Step It Out!
Write and answer the hidden question(s) in each problem. Then solve the problem.
1. James bought 30 ounces of sliced turkey. He used _23 of the turkey to make
sandwiches for his friends and _15 of the turkey in an omelet. How many ounces
of turkey were left?
Hidden question(s):
Solution:
2. Ellie bought 4 CDs. The rock music CD cost $12. The jazz CD cost _23 as much
as the rock music CD. The two special edition CDs each cost 3 times as
much as the jazz CD. What was the cost of the 4 CDs?
Hidden question(s):
Solution:
3. Paul spent 2_12 hours setting up his laptop. It took him 2 times as long to install
his favorite computer game. How long did it take Paul to set up his laptop and
install the game?
Hidden question(s):
Solution:
4. Maria cut off _16 of a 36-inch piece of rope. Juan cut off _14 of a 48-inch piece of
rope. They compared their pieces. Whose piece is longer? How much longer?
Hidden question(s):
Solution:
5. Choose one of the problems above. Explain how you determined the hidden
question and why it is necessary to answer that question in order to solve the
problem.
E 11•4A
Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 5