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Write 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 5% as a decimal.

5%

1 Write it over 100

Percent means out of 100.

So 5% is 5/100.

= 5100

Careful!

5% is 5 out of 100, not out of 10.

Many people write 0.5.

Careful: not 5% = 0.5 ✗

2 Write the decimal

100 has 2 zeros.

So the decimal has 2 digits after the point.

We fill the gap with a 0 after the point.

100: 2 zeros → 2 digits after the point

5 hundredths is 0.05.

= 0.05

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

5% → 0.05
the point moves 2 places left

3 Check

Let's check: go back.

0.05 is 5 hundredths.

So it is 5%.

So the answer is right!

Check: 0.05 = 5100 = 5%

Let's look back.

First: write it over 100.

Then: write the decimal.

Last: check.

Answer
= 0.05

Your turn

Try this one yourself, then check:

Write 3%
Show the answer
0.03

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