6th Grade Math Textbook, Progress

Relate Percents to Decimals

11-11

Write as a decimal.

1. 27% 2. 36% 3. 59% 4. 6% 5. 1%

Write as a percent.

6. 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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