Name
LESSON
Date
Class
Problem Solving
3-7 Dividing by Decimals
Write the correct answer.
1. Jamal spent $6.75 on wire to build
a rabbit hutch. Wire costs $0.45 per
foot. How many feet of wire did
Jamal buy?
2. Peter drove 195.3 miles in 3.5 hours.
On average, how many miles per
hour did he drive?
3. Lisa’s family drove 830.76 miles
to visit her grandparents. Lisa
calculated that they used 30.1
gallons of gas. How many miles per
gallon did the car average?
4. A chef bought 84.5 pounds of ground
beef. He uses 0.5 pound of ground
beef for each hamburger. How many
hamburgers can he make?
Circle the letter of the correct answer.
5. Mark earned $276.36 for working
23.5 hours last week. He earned the
same amount of money for each hour
that he worked. What is Mark’s hourly
rate of pay?
A $1.17
B $10.76
C $11.76
D $117.60
6. Alicia wants to cover a section of her
wall that is 2 feet wide and 12 feet
long with mirrors. Each mirror tile is
2 feet wide and 1.5 feet long. How
many mirror tiles does she need to
cover that section?
F 4 tiles
G 6 tiles
H 8 tiles
J 12 tiles
7. John ran the city marathon in
196.5 minutes. The marathon is
26.2 miles long. On average, how
many miles per hour did John run
the race?
A 7 miles per hour
B 6.2 miles per hour
C 8 miles per hour
D 8.5 miles per hour
8. Shaneeka is saving $5.75 of her
allowance each week to buy a new
camera that costs $51.75. How many
weeks will she have to save to have
enough money to buy it?
F 9 weeks
G 9.5 weeks
H 8.1 weeks
J 8 weeks
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
57
Holt Mathematics
Challenge
3-7 Cutting Decimals
Reteach
3-7 Dividing by Decimals
LESSON
LESSON
The strips of cloth below need to be cut into equal pieces of
given lengths. Draw lines on each strip of cloth to show how
many pieces will be cut.
You can use powers of ten to help you divide a decimal by a
decimal.
To divide 0.048 by 0.12, first multiply each number by the least
power of ten that makes the divisor a whole number.
1. Total Length: 9.8 yards
Piece Length: 1.4 yards
0.048 ! 0.12
0.12 • 102 " 12
Move the decimal point 2 places to the right.
0.048 • 102 " 4.8 Move the decimal point 2 places to the right.
Students should draw 6 lines across the cloth to cut it into 7 equal pieces.
Then divide.
4.8 ! 12
0.4
12!4
".8
"
48
!
0
Step 1: Divide as you would divide a whole
number by a whole number.
2. Total Length: 2.5 yards
Piece Length: 0.5 yards
Step 2: Think 48 ! 12 " 4.
Step 3: Bring the decimal into the quotient and
add a zero placeholder if necessary.
Students should draw 4 lines across the cloth to cut it into 5 equal pieces.
So, 0.048 ! 0.12 " 0.4.
3. Total Length: 10.2 yards
Piece Length: 1.7 yards
Find each quotient.
0.6
".4
"2
"
1. 0.7!0
5
0.25
2. 0.08!0
".4
"
3. 0.5!0
".1
"2
"5
"
15
4. 0.02!0
".3
"
Students should draw 5 lines across the cloth to cut it into 6 equal pieces.
4. Total Length: 6.4 yards
0.2
5. 0.4!0
".0
"8
"
0.7
50
6. 0.9!0
".6
"3
"
7. 0.008!0
".4
"
Piece Length: 0.8 yards
0.8
8. 0.04!0
".0
"3
"2
"
Students should draw 7 lines across the cloth to cut it into 8 equal pieces.
5. Total Length: 13.6 yards
0.2
9. 0.3!"0
".0
"6
"
5
700
10. 0.04!"0
".2
"
11. 0.007!"4
".9
"
Piece Length: 3.4 yards
0.02
12. 0.6!"0
".0
"1
"2
"
Students should draw 3 lines across the cloth to cut it into 4 equal pieces.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
55
Holt Mathematics
Holt Mathematics
Reading Strategies
3-7 Make Predictions
Problem Solving
3-7 Dividing by Decimals
LESSON
LESSON
Write the correct answer.
2. Peter drove 195.3 miles in 3.5 hours.
On average, how many miles per
hour did he drive?
1. Jamal spent $6.75 on wire to build
a rabbit hutch. Wire costs $0.45 per
foot. How many feet of wire did
Jamal buy?
15 feet
55.8 miles per hour
3. Lisa’s family drove 830.76 miles
to visit her grandparents. Lisa
calculated that they used 30.1
gallons of gas. How many miles per
gallon did the car average?
4. A chef bought 84.5 pounds of ground
beef. He uses 0.5 pound of ground
beef for each hamburger. How many
hamburgers can he make?
27.6 miles per gallon
Study the examples below. Look for patterns in the divisor and
quotient.
Dividend
400
!
400
!
400
!
400
!
1. Predict the divisor for the next problem in this pattern.
0.002
2. Predict the quotient for the next problem in this pattern.
5. Mark earned $276.36 for working
23.5 hours last week. He earned the
same amount of money for each hour
that he worked. What is Mark’s hourly
rate of pay?
A $1.17
B $10.76
C $11.76
!
D $117.60
6. Alicia wants to cover a section of her
wall that is 2 feet wide and 12 feet
long with mirrors. Each mirror tile is
2 feet wide and 1.5 feet long. How
many mirror tiles does she need to
cover that section?
F 4 tiles
G 6 tiles
H 8 tiles
!
J 12 tiles
7. John ran the city marathon in
196.5 minutes. The marathon is
26.2 miles long. On average, how
many miles per hour did John run
the race?
A 7 miles per hour
B 6.2 miles per hour
C 8 miles per hour
!
D 8.5 miles per hour
8. Shaneeka is saving $5.75 of her
allowance each week to buy a new
camera that costs $51.75. How many
weeks will she have to save to have
enough money to buy it?
F 9 weeks
!
G 9.5 weeks
H 8.1 weeks
J 8 weeks
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Quotient
20
200
2,000
20,000
Use the information above to answer the Exercises 1–3.
169 hamburgers
57
Divisor
20
"
2
"
0.2
"
0.02
"
As the divisor is divided by 10, the quotient is multiplied by 10.
Circle the letter of the correct answer.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
56
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
200,000
3. Write the next division problem and quotient for this pattern.
400 ! 0.002 " 200,000
Study the pattern created by these division problems. Use the
pattern to answer Exercises 4–6.
Dividend
900
!
900
!
900
!
Divisor
30
"
3
"
0.3
"
Quotient
30
300
3,000
4. Predict the next divisor in this pattern.
0.03
5. Predict the next quotient in this pattern.
30,000
6. Write the division problem and quotient that you predict would
come next.
900 ! 0.03 " 30,000
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
90
58
Holt Mathematics
Holt Mathematics