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Write 12.5% as a decimal

Step by step, with the reason for every step · Percents, decimals and fractions · Foundations

Step by step

The question

Question: write 12.5% as a decimal.

12.5%

1 Write it over 100

Percent means out of 100.

So 12.5% is 12.5/100.

= 12.5100

A fraction is written with whole numbers.

So we multiply the top and the bottom by 10.

= 12.5 × 10100 × 10

12.5 times 10 is 125.

100 times 10 is 1000.

= 1251000

2 Write the decimal

1000 has 3 zeros.

So the decimal has 3 digits after the point.

1000: 3 zeros → 3 digits after the point

125 thousandths is 0.125.

= 0.125

The short way: the point moves 2 places to the left.

12.5% → 0.125
the point moves 2 places left

3 Check

Let's check: go back.

0.125 is 125 thousandths.

That is 12.5/100.

So it is 12.5%.

So the answer is right!

Check: 0.125 = 1251000 = 12.5100 = 12.5%

Let's look back.

First: write it over 100.

Then: write the decimal.

Last: check.

Answer
= 0.125

Your turn

Try this one yourself, then check:

Write 17.5%
Show the answer
0.175

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