Name
LESSON
Date
Class
Problem Solving
3-5 Equivalent Fractions and Decimals
Write the correct answer.
1. On a test, Shane answered 37 out of
40 questions correctly. What portion
of his answers was correct? Write
your answer as a decimal rounded to
the nearest thousandth.
2. Sammy Sosa hit 66 home runs in
1998. He had 643 at bats. Write his
home run average as a decimal
rounded to the nearest thousandth.
3. In February, Chicago receives an
2
average of 15 inches of rain. Write
a decimal to show the number of
inches of rain.
4. On a test, Ellen answered 51 out of
64 questions correctly. What portion
of her answers was correct? Write
your answer as a decimal rounded to
the nearest thousandth.
Choose the letter for the best answer.
Use the graph for 5–6.
World Energy Consumption 2003
(in quadrillions of British Thermal Units, BTU)
5. Which mixed number shows the
energy, in quadrillions of BTU,
consumed in Eastern Europe in
2003?
A 53
1
B 534
1
C 532
4
D 535
Far East/Oceania
73.6
53.8
Eastern Europe
Central/South America
21.9
19.6
Middle East
Africa
13.3
0
20
40
60
80
100 120
3
H 195
3
J 191
0
7. Jill sold 478 out of 520 tickets to the
opening night of her theater
performance. What portion of the
tickets did she sell?
A 0.998
C 0.919
B 1.088
D 0.081
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
120.1
Western Europe
6. Which mixed number shows the
energy, in quadrillions of BTU,
consumed in the Middle East in 2003?
1
F 191
0
2
G 195
119.1
North America
8. The high school sold 369 out of
460 tickets to the opening night of
a concert series. What portion of
the tickets was sold?
F 0.198
H 1.247
G 0.829
46
J 0.802
Holt Mathematics
Problem Solving
3-5 Equivalent Fractions and Decimals
Challenge
3-5 Decimal Patterns
LESSON
LESSON
Repeating decimals continue without end with a repeating pattern.
Some decimals continue without end, but do not have a repeating
pattern. These decimals are called nonrepeating, nonterminating
decimals. Although they continue without end, these decimals may
have a pattern.
Write the correct answer.
1. On a test, Shane answered 37 out of
40 questions correctly. What portion
of his answers was correct? Write
your answer as a decimal rounded to
the nearest thousandth.
Examples of nonrepeating, nonterminating decimals with patterns:
5.121121112...
0.881882883...
0.925
2. 6.1323323332...
r
3. 8.355355...
n
5. 10.7727227...
6. 4.121314...
n
4. 0.230230023...
r
n
7. 0.42818181...
n
0.103
3. In February, Chicago receives an
2
average of 15 inches of rain. Write
a decimal to show the number of
inches of rain.
Write r if the decimal is a repeating decimal and n if the decimal
is a nonrepeating, nonterminating decimal.
1. 4.562222...
2. Sammy Sosa hit 66 home runs in
1998. He had 643 at bats. Write his
home run average as a decimal
rounded to the nearest thousandth.
4. On a test, Ellen answered 51 out of
64 questions correctly. What portion
of her answers was correct? Write
your answer as a decimal rounded to
the nearest thousandth.
1.4 in.
0.797
8. 29.7053053...
r
Choose the letter for the best answer.
r
Use the graph for 5–6.
9. 1.221221222...
10. 5.67167672...
n
11. 75.320333...
n
12. 4.121231234...
r
n
Identify the pattern in each nonrepeating, nonterminating
decimal. Use the pattern to extend the decimal several places.
13. 0.010203...
1
B 534
8.63633633363333...
15. 25.121231234...
25.12123123412345...
1
18. Write an example of a nonrepeating, nonterminating decimal
with a pattern.
Possible answer: 1.191991999...
45
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
2
2
0.4
5
46
100 120
Holt Mathematics
decimal
terminating
repeating
average
numerator
divide
pattern
I E R E P E A T I N G C F T T E
V W N W E R T Y U I I C D K A R
I F V O Z X C V B N M K U W T M
D R Q E M T G B Y H N J L Z I I
remainder of 0.
E
P
O
I
U
a terminating decimal
26
• Write
denominator
D E C I M A L M H T Y U J K S T
2. What do we call a decimal that ends with no remainder?
.333
62
.0
0
0
1
8
20
18
20
18
2
80
J 0.802
G 0.829
convert
No. Possible answer: When you subtract 20 from 20 there is a
2
60
8. The high school sold 369 out of
460 tickets to the opening night of
a concert series. What portion of
the tickets was sold?
F 0.198
H 1.247
statistic
The dividing ends, or terminates, with no remainder.
0.4 is called a terminating decimal.
• Read 6 as “2 divided by 6.”
40
J 19
10
fraction
1. Is there a remainder in the problem? How do you know?
2
6
20
Find the words on the list in the word search. Then find four
letters in the word search that answer the riddle.
25
• Write
Change a fraction to a decimal by dividing the numerator by the
denominator.
.4
52
.0
2 0
0
LESSON
Compare what happens when fractions are changed to decimals.
• Read 5 as “2 divided by 5.”
13.3
Puzzles, Twisters & Teasers
3-5 The Terminator!
LESSON
2
5
Africa
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Reading Strategies
3-5 Compare and Contrast
19.6
Middle East
7. Jill sold 478 out of 520 tickets to the
opening night of her theater
performance. What portion of the
tickets did she sell?
A 0.998
C 0.919
B 1.088
D 0.081
Possible answer: 1.2222...
21.9
3
2
G 195
17. Write an example of a repeating decimal.
53.8
Eastern Europe
Central/South America
3
H 195
F 19
10
9.98979695...
120.1
73.6
Western Europe
6. Which mixed number shows the
energy, in quadrillions of BTU,
consumed in the Middle East in 2003?
16. 9.989796...
119.1
North America
Far East/Oceania
1
C 532
4
D 535
A 53
14. 8.636336333...
0.01020304...
World Energy Consumption 2003
(in quadrillions of British Thermal Units, BTU)
5. Which mixed number shows the
energy, in quadrillions of BTU,
consumed in Eastern Europe in
2003?
A
C
T
I
O
S
O
M
W
Z
D
L
L
E
A
U
C
K
R
Q
I
O
I
P
W
B
N
P
A
S
G
V
A
T
X
R
E
V
T
C
V
R
E
E
O
F
T
R
R
T
E
P
A
N
G
C
O
G
T
H
I
D
E
R
J
S
T
I
C
I
N
A
T
I
N
Y N G H J K N U M E R A T O R G
2
0.333 . . . or 0.3
6
What will the dentist say to you if you do not brush your teeth?
I
Note how dividing continues in a pattern. The
number 0.333 . . . is a repeating decimal. The bar
over the 3 means 3 repeats.
C
D
K
(I see decay.)
Answer each question.
2
2
3. Compare the division of 5 to the division of 6. What is the
difference?
Possible answer: There is a remainder when dividing 2 by 6, but no
remainder when dividing 2 by 5.
4. What is the name for a decimal with a remainder that has a
repeating pattern?
repeating decimal
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
47
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
72
48
Holt Mathematics
Holt Mathematics