Page 465 - Basic College Mathematics with Early Integers

442 C HAPTE R 6 I PERCENT

Objective Writing Decimals or Fractions as Percents

To write a decimal as a percent, we use the result of Example 7 or 12 in this section.
In these examples, we found that 1 = 100%.
Write 0.38 as a percent: 0.38=0.38(1)=0.38(100%)=38.%

1 1 1 1 100
#
Write as a percent: = (1) = 100% = % = 25%
4 4 4 4 4
First, let’s practice writing decimals as percents.

Writing a Decimal as a Percent

Multiply by 1 in the form of 100%.
0.27=0.27(100%)=27.%

If it helps, think of writing a decimal as a percent by reversing the steps in the
Helpful Hint on page 440.
Move the decimal point
Percent ; 2 places to the right and ; Decimal
attach a % symbol.

PRACTICE 13–16 Examples Write each decimal as a percent.
Write each decimal as a percent.
13. 0.65=0.65(100%)=65.% or 65% Multiply by 100%.
13. 0.19 14. 1.75
15. 0.044 16. 0.7 14. 1.25=1.25(100%)=125.% or 125%

15. 0.012=0.012(100%)=001.2% or 1.2%
A zero was inserted
16. 0.6=0.6(100%)=060.% or 60% as a placeholder.

Work Practice 13–16

Concept Check Why is it incorrect to write the decimal 0.0345 as 34.5% in
percent form?

Now let’s write fractions as percents.

Answers
13. 19% 14. 175% 15. 4.4%
16. 70% Writing a Fraction as a Percent
Multiply by 1 in the form of 100%. Copyright 2012 Pearson Education, Inc.
Concept Check Answer
To change a decimal to a percent, 1 1 1 100 100 1
multiply by 100%, or move the decimal = # 100% = # % = % = 12 % or 12.5%
point only two places to the right. 8 8 8 1 8 2
So the correct answer is 3.45%.