Question

The decimal 0.0125 is equivalent to what percent?

Answer 1

`0.125 = 125/1000 = 12.5/100 = 12.5%`

Explanation:

The decimal places represent tenths, hundredths, thousandths etc.
as `1/10, 1/100, 1/1000` and so on.

`0.125 = 125/1000 = 12.5/100 = 12.5%`

No calculation is necessary - the SAME number is just being written in a different form.

The first TWO decimal places indicate the whole number of percents, digits after that represent fractions of a percent.

Here are some more examples for clarity and practice.

`0.85 = 85% " but take care " .color(red)(0)85 = 8.5%`

`0.328 = 32.8%`

`2.45 = 245% and 1.4 = 140%`

`0.035 = 3.5%`

`0.005 = 0.5%`

`0.6 = 60% and 0.06 = 6% and 0.006 = 0.6%`

Recurring decimals are a problem - they usually need to be rounded off.

The following common ones should be learnt by heart.

`0.dot3 = 0.3333333...... = 33 1/3%`
`0dot6 = 0.66666...... = 66 2/3%`
`0.1dot6 = 0.1666... = 16 2/3%`
`0.8dot3 = 0.8333... = 83 1/3%`