Learn to compare and order decimals, fractions, and percents.

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Learn to compare and order decimals, fractions,
and percents.
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Percents are ratios that compare a number to 100.
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(No Transcript)
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To convert a fraction to a decimal, divide the
numerator by the denominator.
To convert a decimal to a percent, multiply by
100 and insert the percent symbol.
0.125 ? 100 ? 12.5
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Example 1 Finding Equivalent Ratios and Percents
Find the missing ratio or percent equivalent for
each letter ag on the number line.
a
10
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Example 1 Continued
Find the missing ratio or percent equivalent for
each letter ag on the number line.
b
0.25
25
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Example 1 Continued
Find the missing ratio or percent equivalent for
each letter ag on the number line.
c
40
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Example 1 Continued
Find the missing ratio or percent equivalent for
each letter ag on the number line.
d
0.60
60
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Example 1 Continued
Find the missing ratio or percent equivalent for
each letter ag on the number line.
e
10
Example 1 Continued
Find the missing ratio or percent equivalent for
each letter ag on the number line.
0.875
f
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Example 1 Continued
Find the missing ratio or percent equivalent for
each letter ag on the number line.
g
125
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Example 2
Find the missing ratio or percent equivalent for
each letter ag on the number line.
0.125
a
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Example 2 Continued
Find the missing ratio or percent equivalent for
each letter ag on the number line.
b
25
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Example 2 Continued
Find the missing ratio or percent equivalent for
each letter ag on the number line.
c
0.375
37
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Example 2 Continued
Find the missing ratio or percent equivalent for
each letter ag on the number line.
d
50
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Example 2 Continued
Find the missing ratio or percent equivalent for
each letter ag on the number line.
e
0.625
62
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Example 2 Continued
Find the missing ratio or percent equivalent for
each letter ag on the number line.
f
75
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Example 2 Continued
Find the missing ratio or percent equivalent for
each letter ag on the number line.
100

g
1
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Example 3 Comparing Fractions, Decimals, and
Percents
Compare. Write lt, gt, or . 40
1 4
1 4
0.25
Write as a decimal.
0.25 lt 0.40
Compare.
1 4
lt 40
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Example 4 Comparing Fractions, Decimals, and
Percents
Compare. Write lt, gt, or . 0.893 50
50 0.50
Write as a decimal.
0.893 gt 0.50
Compare.
0.893 gt 50
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Example 5
Compare. Write lt, gt, or . 65
3 4
3 4
0.75
Write as a decimal.
0.75 gt 0.65
Compare.
3 4
gt 65
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Example 6
Compare. Write lt, gt, or . 0.136 20
20 0.20
Write as a decimal.
0.136 lt 0.20
Compare.
0.136 lt 20
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Example 7 Ordering Fractions, Decimals, and
Percents
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Write 0.075, , 0.41, and 100 in order from
least to greatest.
3 4
0.75
Write as decimals.
100 1.00 0.075 0.00075
Compare.
0.075 lt 41 lt 75 lt 100
3 4
0.075, 0.41, , 100
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Example 8
1 2
Write 35, 0.25, , and 200 in order from
least to greatest.
1 2
0.50
Write as decimals.
35 0.35 200 2.00
Compare.
25 lt 35 lt 50 lt 200
1 2
0.25, 35, , 200
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Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems
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Lesson Quiz Part I
Find each equivalent value. 1. as a percent 2.
20 as a fraction 3. as a decimal Compare.
Write lt, gt, or . 4. 30 5. 0.650
97
37.5
0.625
gt
lt
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Lesson Quiz Part II
6. Write 245, , 0.133, and 66.6 in order
from least to greatest. 5. About 342,000 km2 of
Greenlands total area (2,175,000 km2) is not
covered with ice. To the nearest percent, what
percent of Greenlands total area is not covered
with ice?
0.133, , 66.6, 245
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Lesson Quiz for Student Response Systems
1. Identify the equivalent value of as a
percent. A. 45.3 B. 55.5 C. 78.3 D. 86.5
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Lesson Quiz for Student Response Systems
2. Identify the equivalent value of 45 as a
fraction. A. B. C. D.
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Lesson Quiz for Student Response Systems
3. Identify the equivalent value of as a
decimal. A. 0.252 B. 0.375 C. 0.456 D. 0.698
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Lesson Quiz for Student Response Systems
4. Identify the correct symbol to
compare. 0.430___50 A. gt B. lt C. D. gt