Relate Percents to Decimals
11-11
Write as a decimal.
- 27% 2. 36% 3. 59% 4. 6% 5. 1%
Write as a percent.
- 0.20 7. 0.35 8. 0.02 9. 0.07 10. 0.2
Approximately 65% of the people of Virginia live
in urban areas. Write this percent as a decimal.
To write 65% as an equivalent decimal, use the
meaning of percent.
To rename a percent as an equivalent decimal:
- Rename the percent as a fraction with
a denominator of 100. - Write the fraction as a decimal.
Percent Fraction Decimal
65 % 0.65
So 65% = 0.65.
To rename a decimal as an equivalent percent:
- Rename the decimal as a fraction with
a denominator of 100. - Write the fraction as a percent.
Decimal Fraction Percent
0.32 32 %
You can use a shortcut and may need to write zero(s) to
write a percent as a decimal or a decimal as a percent.
32
100
65
100
- Drop the percent (%) symbol.
Then move the decimal point
two places to the left.
Percent Decimal
65 % .65. 0. 65
2 % .02. 0. 02
% means per hundred.
% means hundredths.
- Move the decimal two places
to the right. Then write the
percent (%) symbol.
Decimal Percent
0.32 0.32. 32 %
0.6 0.60. 60 %
1.0
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