Reteach 8-8 - Scarsdale Public Schools

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Name
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Date
Class
Reteach
LESSON
8-8 Percents, Decimals, and Fractions
You can write decimals as percents.
To write 0.5 as a percent, multiply the decimal by 100%.
0.5 • 100% ! 50%
To multiply a number by 100, move the decimal point two places to
the right.
0.50
So, 0.5 ! 50%.
Write each decimal as a percent.
1. 0.8
2. 0.64
3. 0.075
4. 0.29
You can solve a proportion to write a fraction as percent.
3
To write !4! as a percent, first set up a proportion.
x
3
!! ! !!
100
4
3 • 100 ! 4 • x
The cross products are equal.
300 ! 4x
4x
300
!! ! !!
4
4
x is multiplied by 4.
Divide both sides by 4.
x ! 75
75
3
!
So, !4! ! !
100
75
3
!! ! 75%, So, !! ! 75%.
100
4
Write each fraction as a percent.
4
5. !5!
1
9. !4!
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
9
6. !1!
0
5
10. !6!
1
7. !8!
3
11. !4!
76
7
8. !2!
5
1
12. !5!
Holt Middle School Math Course 1
Practice C
8-8 Percents, Decimals, and Fractions
Practice B
8-8 Percents, Decimals, and Fractions
LESSON
LESSON
Write each decimal as a percent and as a fraction or mixed
number.
Write each decimal as a percent.
1. 0.03
2. 0.92
3%
3. 0.18
4. 0.49
96%; !2!
5
9%
4. 0.65
65%; !2!
0
100%
7. 1.13
!
113%; 1!
100
18%
5. 0.7
49%
6. 0.09
70%
7. 0.26
8. 0.11
26%
24
1. 0.96
92%
2
10. !5!
1
11. !5!
40%
1
!
13. !
20
1
14. !5!
0
5%
4
15. !5!
0
2%
"
18. 0.5
7
20. !9!
#
#
8. 2.08
208%; 2!2!
5
28%; !2!
5
6. 0.005
!
0.5%; !
200
9. 3.002
!
300.2%; 3!
500
8
1
2
1
12
92%; 0.92
22
!
11. !
27
81%; 0.81
15
!
12. !
26
58%; 0.58
9
29%; 0.29
34
!
14. !
35
97%; 0.97
11
!
15. !
23
48%; 0.48
70%
!
10. !
13
8%
!
13. !
31
Compare. Write ", #, or !.
Compare. Write ", #, or ! .
16. 60%
32%; !2!
5
3. 0.28
Write each fraction as a percent and as a decimal. Round to the
nearest hundredth if necessary.
7
12. !1!
0
20%
5. 0.32
13
Write each fraction as a percent.
7
4%; !2!
5
13
9. 1.0
11%
1
2. 0.04
2
!!
3
17. 0.4
5%
1
!
19. !
100
!
3
21. !1!
0
72%
2
!!
5
"
"
0.03
12
!
16. !
17
"
77%
17. 0. 18
11
!
18. !
50
!
0.22
21
19. !3!
3
"
80%
#
9
!!
32
5
21. !1!
6
#
28%
20. 0.4
"
11
!!
25
1
22. During a sale, everything in the store was !5! off the ticketed
35%
price. What percent of an item’s original price
should you expect to pay?
3
22. Bradley completed !5! of his homework. What percent of his
homework does he still need to complete?
80%
23. Your teacher has offered you a choice for your 50 homework
problems. You can do 48% of the problems, all of the
3
even-numbered problems, or !5! of the problems. Which option
will you choose? How many problems will you have to do for
homework?
40%
23. After reading a book for English class, 100 students were asked
whether or not they enjoyed it. Nine twenty-fifths of the students
did not like the book. How many students liked the book?
64 students
Answers will vary, but most students will choose the option with the
fewest problems: 48% of the problems or 24 problems.
74
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Middle School Math Course 1
Reteach
8-8 Percents, Decimals, and Fractions
Challenge
8-8 Trash or Treasure?
You can write decimals as percents.
People in the United States
produce about 208 million tons
of garbage every year! We
recycle about 56 million tons of
that garbage, or about 27% of
the total.
To write 0.5 as a percent, multiply the decimal by 100%.
0.5 • 100% ! 50%
To multiply a number by 100, move the decimal point two places to
the right.
0.50
Write each decimal as a percent.
80%
3. 0.075
64%
4. 0.29
7.5%
United States Recycling
Material
Total Garbage
Recycled
Fraction
Percent
29%
You can solve a proportion to write a fraction as percent.
3
To write !4! as a percent, first set up a proportion.
4x
300
!! ! !!
4
4
17%
Glass
3
!!
50
6%
Paper
29
!!
50
58%
Plastics
1
!!
50
2%
7
!!
100
7%
All Other
Materials
The cross products are equal.
300 ! 4x
10%
17
!!
100
Yard
Waste
x
3
!! ! !!
100
4
3 • 100 ! 4 • x
1
!!
10
Metals
Complete the chart at right.
Then display the percents on
the circle graph below.
Remember to give your graph
a title. Label each section of
the graph with the material
and the percent of the total
garbage recycled that each
section represents. You may
wish to color each section
differently or add illustrations.
So, 0.5 ! 50%.
2. 0.64
Holt Middle School Math Course 1
LESSON
LESSON
1. 0.8
75
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
x is multiplied by 4.
Divide both sides by 4.
x ! 75
75
3
!
So, !4! ! !
100
United States Recycling
75
3
!! ! 75%, So, !! ! 75%.
100
4
All Other Materials
7%
Plastics
2%
Metals
10%
Write each fraction as a percent.
9
!
6. !
10
4
5. !5!
80%
1
9. !4!
90%
12.5%
5
10. !6!
25%
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
7
8. !2!
5
1
7. !8!
3
11. !4!
83.3%
75%
76
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
28%
Yard
ard Waste
Waste
17%
Glass
6%
1
12. !5!
20%
Holt Middle School Math Course 1
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
125
Paper
58%
77
Holt Middle School Math Course 1
Holt Middle School Math Course 1