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Write 150% as a decimal

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

Step by step

The question

Question: write 150% as a decimal.

150%

1 Write it over 100

Percent means out of 100.

So 150% is 150/100.

= 150100

Careful!

150% is more than 100%.

So the decimal is more than 1.

Careful: more than 100% → more than 1

2 Write the decimal

100 has 2 zeros.

So the decimal has 2 digits after the point.

100: 2 zeros → 2 digits after the point

150 hundredths is 1.5.

= 1.5

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

150% → 1.5
the point moves 2 places left

3 Check

Let's check: go back.

1.5 is 15 tenths.

That is 150/100.

So it is 150%.

So the answer is right!

Check: 1.5 = 1510 = 150100 = 150%

Let's look back.

First: write it over 100.

Then: write the decimal.

Last: check.

Answer
= 1.5

Your turn

Try this one yourself, then check:

Write 203%
Show the answer
2.03

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