This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module discusses fractions of one percent. By the end of the module students should understand the meaning of a fraction of one percent and be able to make conversions involving fractions of one percent.
Section overview
- Conversions Involving Fractions of One Percent
- Conversions Involving Nonterminating Fractions
Conversions involving fractions of one percent
Percents such as
%,
%,
%, and
%, where 1% has not been attained, are fractions of 1%. This implies that
Since "percent" means "for each hundred," and "of" means "times," we have
Sample set a
Practice set a
Conversions involving nonterminating fractions
We must be careful when changing a fraction of 1% to a decimal. The number
, as we know, has a nonterminating decimal representation. Therefore, it cannot be expressed exactly as a decimal.
When converting nonterminating fractions of 1% to decimals, it is customary to express the fraction as a rounded decimal with at least three decimal places.
Converting a nonterminating fraction to a decimal
To convert a nonterminating fraction of 1% to a decimal:
- Convert the fraction as a rounded decimal.
- Move the decimal point two digits to the left and remove the percent sign.
Sample set b
Convert
% to a three-place decimal.
- Convert
to a decimal.
Since we wish the resulting decimal to have three decimal digits, and removing the percent sign will account for two of them, we need to round
to one place
.
% to one decimal place.
- Move the decimal point two digits to the left and remove the % sign. We'll need to add zeros to locate the decimal point in the correct location.
to 3 decimal places
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Convert
% to a four-place decimal.
- Since we wish the resulting decimal to have four decimal places, and removing the percent sign will account for two, we to round
to two places.
to two decimal places.
- Move the decimal point two places to the left and drop the percent sign.
to four decimal places.
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Convert
% to a decimal rounded to ten thousandths.
- Since we wish the resulting decimal to be rounded to ten thousandths (four decimal places), and removing the percent sign will account for two, we need to round
to two places.
to two decimal places.
- Move the decimal point to the left two places and drop the percent sign.
correct to ten thousandths.
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Practice set b
Exercises
Make the conversions as indicated.
Exercises for review