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CHANGING PERCENTS TO DECIMALS
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The concepts for this exercise are summarized below.
For a complete discussion, read the text.
Whenever computations need to be done with percents, the percents are first
renamed as decimals.
Here are examples of changing percents to decimals.
The % symbol is replaced
with a factor of
1100
:
3.5%
=3.5⋅
1100=
0.035
25%
=25⋅
1100=
0.25
50%
=50⋅
1100=
0.5
100%
=100⋅
1100=
1
250%
=250⋅
1100=
2.5
As these examples illustrate, the percent symbol instructs multiplication by
1100
(or, equivalently,
division by 100 ),
which is accomplished
by moving the decimal point two places to the left.
Remember that if you don't see a decimal
point, then it gets inserted just to the right of the ones place.
Now, you can go from percents to decimals in one easy step:
3% = 0.03
2.37% = 0.0237
0.01% = 0.0001
5032% = 50.32
Here, you will practice renaming percents as decimals.
For example, 54% gets renamed as 0.54 .