Percents And Probability Worksheet With Answers - Lesson 12-19 Page 4
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49There are two ways to write decimals as percents. One method is to rewrite the decimal as a ratio comparing
a number to 100. The second method involves multiplying the decimal by 100. Both are shown in the
following example.
Write each decimal as a percent.
examPle 2
a. 0.65
b. 0.5
c. 1.44
s
olutions
? ___
Method 1 ~ rewrite as a Fraction
Method 2 ~ Multiply by 100
100
65
___
a. Convert to a fraction.
a. Multiply by 100.
0.65 =
0.65 ∙ 100 = 65
100
65
___
Write the percent.
= 65%
Write with the percent
65%
100
symbol.
5 __
b. Convert to a fraction.
0.5 =
10
× 10
b. Multiply by 100.
Write an equivalent
0.5 ∙ 100 = 50
5 __
50
___
fraction with 100 as
=
10
100
the denominator.
Write with the percent
50%
× 10
symbol.
50
___
Write the percent.
= 50%
100
144
___
c. Convert to a fraction.
1.44 =
c. Multiply by 100.
1.44 ∙ 100 = 144
100
Write the percent.
144%
Write with the percent
144%
symbol.
There are two ways to write fractions as percents. One method is to rewrite the fraction with a denominator
of 100. The second method is to write the fraction as a decimal and multiply by 100.
examPle 3
Write each fraction as a percent.
a. 7 __
b. 2 __
c. 1 __
10
5
3
s
? ___
olutions
Method 1 ~ rewrite as a Fraction
Method 2 ~ Multiply the decimal by 100
100
7 __
× 10
a. Write an equivalent
a. Convert to a decimal.
= 0.7
10
7 __
70
___
fraction with 100
=
10
100
in the denominator.
Multiply by 100.
0.7 ∙ 100 = 70
× 10
70
___
Write the percent.
= 70%
Write with the percent
70%
100
symbol.
× 20
2 _
b. Write an equivalent
b. Convert to a decimal.
= 2 ÷ 5 = 0.4
5
2 _
40
___
fraction with 100 as
=
5
100
the denominator.
Multiply by 100.
0.4 ∙ 100 = 40
× 20
40
___
Write the percent.
= 40%
Write with the percent
40%
100
symbol.
_
1 _
c. Convert to a decimal.
= 1 ÷ 3 = 0.
3
× ?
c. Three does not divide
3
x ___
1 _
_
_
evenly into 100.
=
3
100
Multiply by 100.
0.
3 ∙ 100 = 33.
3
× ?
_
Use Method 2.
Write with the percent
33.
3 %
symbol.
74
Lesson 12 ~ Fractions, Decimals And Percents
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