Name
LESSON
Date
Class
Problem Solving
4-8 Dividing Decimals
Write the correct answer.
1. Fran has a plank of wood
4.65 meters long. She wants to cut it
into pieces 0.85 meters long. How
many pieces of wood that length can
she cut from the plank?
2. Jeremy has a box of 500 nails that
weighs 1.35 kilograms. He uses
60 nails to build a birdhouse. How
much do the nails in the birdhouse
weigh?
3. Rhosanda is downloading a file from
the Internet. The size of the file is
7.45 MB. The file is downloading at
the rate of 0.095 MB per second.
How many seconds will it take to
download the entire file? Round your
answer to the nearest second.
4. Sean has a piece of poster board
with an area of 476.28 square
centimeters. He cuts it into equalsized squares, each with an area of
39.69 square centimeters. How many
squares can he cut from the piece of
poster board?
Choose the letter for the best answer.
6. In 2000, a production worker in
Japan who worked 38.5 hours in a
week would have earned an average
of $847. What was the hourly wage?
F $2.20 per hour
G $3.20 per hour
H $22.00 per hour
J $32.00 per hour
5. Mount McKinley, in Alaska, is about
3.848 miles high. If a mountain
climber can climb 0.25 miles per day,
about how long, to the nearest
day, would it take to climb
Mount McKinley?
A about 5 days
B about 8 days
C about 12 days
D about 15 days
8. In the 2000 Summer Olympics, the
United States relay team ran the
1,600-meter relay in 2 minutes,
56.35 seconds. To the nearest
hundredth, what was the speed for
the relay race in meters per second?
F 2.83 meters per second
G 6.24 meters per second
H 9.07 meters per second
J 28.39 meters per second
7. In the 2000 Summer Olympics,
Michael Johnson ran the 400-meter
race in 43.84 seconds. To the nearest
hundredth, what was his speed in
meters per second?
A 9.12 meters per second
B 10.96 meters per second
C 1.09 meters per second
D 91.24 meters per second
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
74
Holt Mathematics
Challenge
4-8 Go For the Gold
Problem Solving
4-8 Dividing Decimals
LESSON
LESSON
A golden rectangle is a rectangle with a special relationship
between the length and the width. The ancient Greeks believed that
the shape of the golden rectangle was especially pleasing to the eye.
Write the correct answer.
1. Fran has a plank of wood
4.65 meters long. She wants to cut it
into pieces 0.85 meters long. How
many pieces of wood that length can
she cut from the plank?
Discover the relationship between the length and width that makes a
rectangle a golden rectangle.
1. The length of a golden rectangle is 5.26 centimeters and the
width is 3.25 centimeters. Use a centimeter ruler to draw the
rectangle.
5 pieces
2. The golden ratio is a value that characterizes the relationship
between the length and width of a golden rectangle. Use the
dimensions of the golden rectangle above. Divide the length by
the width to find the golden ratio. Round to the nearest hundredth.
4.94 meters
3.76 feet
7. length 16.5 centimeters 8. length 24.6 meters
7.41 yards
10.19 centimeters
9. length 55 inches
15.19 meters
10. length 83.2 feet
33.95 inches
11. length 98.2 yards
51.36 feet
60.62 yards
12. length 116 centimeters 13. length 220.5 inches
71.60 centimeters
14. length 348.7 meters
136.11 inches
215.25 meters
73
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
Reading Strategies
4-8 Use a Visual Model
2
3
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
4
1
5
1.1 1.2 1.3 1.4 1.5
1.5 0.3 5
0
1
2
3
2
4
5
3
6
7
Holt Mathematics
Match the equations with their answers by writing the letter of
the correct answers on the lines. When you are finished, read
the letters from left to right and top to bottom as you would any
book. If your answers are correct, the letters will spell out the
title of a book. Write the book title on the blanks below.
Sarah has 15 feet of yarn. She needs to cut it into lengths of 3 feet
each. How many pieces can she cut? The number line shows a
model of the problem.
1
74
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
LESSON
John has a piece of lumber 1.5 meters long. He needs to cut it into
pieces that are 0.3 meter long. How many pieces can he cut?
The number line shows a model of the problem.
0
8. In the 2000 Summer Olympics, the
United States relay team ran the
1,600-meter relay in 2 minutes,
56.35 seconds. To the nearest
hundredth, what was the speed for
the relay race in meters per second?
F 2.83 meters per second
G 6.24 meters per second
H 9.07 meters per second
J 28.39 meters per second
7. In the 2000 Summer Olympics,
Michael Johnson ran the 400-meter
race in 43.84 seconds. To the nearest
hundredth, what was his speed in
meters per second?
A 9.12 meters per second
B 10.96 meters per second
C 1.09 meters per second
D 91.24 meters per second
Puzzles, Twisters & Teasers
4-8 By the Book!
LESSON
1
6. In 2000, a production worker in
Japan who worked 38.5 hours in a
week would have earned an average
of $847. What was the hourly wage?
F $2.20 per hour
G $3.20 per hour
H $22.00 per hour
J $32.00 per hour
5. Mount McKinley, in Alaska, is about
3.848 miles high. If a mountain
climber can climb 0.25 miles per day,
about how long, to the nearest
day, would it take to climb
Mount McKinley?
A about 5 days
B about 8 days
C about 12 days
D about 15 days
5. length 6.09 feet
2.99 inches
12 squares
Choose the letter for the best answer.
For each length given below, use the golden ratio to find the
width to make a golden rectangle. Round your answers to the
nearest hundredth.
6. length 12 yards
4. Sean has a piece of poster board
with an area of 476.28 square
centimeters. He cuts it into equalsized squares, each with an area of
39.69 square centimeters. How many
squares can he cut from the piece of
poster board?
79 seconds
1.62
4. length 4.85 inches
0.162 kilogram
3. Rhosanda is downloading a file from
the Internet. The size of the file is
7.45 MB. The file is downloading at
the rate of 0.095 MB per second.
How many seconds will it take to
download the entire file? Round your
answer to the nearest second.
Check students’ drawings; rectangle should be about
5.3 cm long and 3.3 cm wide.
3. length 8 meters
2. Jeremy has a box of 500 nails that
weighs 1.35 kilograms. He uses
60 nails to build a birdhouse. How
much do the nails in the birdhouse
weigh?
8
9
4
10
11
12
13
14
32.1 E
0.9 D
15 N
5.3 O
5O
6.25 Y
0.5 H
120 O
0.4 P
309 U
0.046 A
14 H
5.6 R
16 E
5
3.78 4.2 15
24 0.2 15 3 5
4A
D
O
40 2.5 E
1.06 0.2 O
7.5 1.2 9.27 0.03 U
1.12 0.08 5 1.25 A
14 2.5 Y
H
R
Answer each question.
1. Compare the equations for the number lines above. What is the
same about the equations?
Possible answer: The numerals are the same.
1.15 25 A
4.12 10.3 12.0 2.4 O
36 2.4 2. What is different?
D
O
Y
O
U
H
O
N
P
1.6 3.2 N
96.3 3 H
E
A
H
E
R
Possible answer: One equation uses decimal values. The other uses
A
whole numbers.
3. Compare the quotients of both problems. What do you notice?
P
E
?
Now circle the name of someone who
might have been the author of this book.
They are both 5.
4. How can you change 1.5 to 15?
By:
Move the decimal point one place to the right.
5. How can you change 0.3 to 3?
Isabel Ringing
Justin Case
M. T. Wallet
Hugo First
Move the decimal point one place to the right.
6. If you moved the decimal point in both the divisor and the
dividend, would the quotient change?
no
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
75
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
116
76
Holt Mathematics
Holt Mathematics