# Rounding to a given number of places

## Counting decimal places

Decimal places are counted from the decimal point:

So, the number has four decimal places, while has two decimal places.

To round a number to a given number of decimal places, look at the number in the next decimal place:
• If it's less than , round down
• If it's or more, round up

### Example

Round to decimal places

This means we need digits after the decimal point.

Because the next digit , is more than , we round the up. ( decimal places)

Question

Q1. Round to decimal places.

Q2. Round to decimal place.

A1.

To round to two decimal places, look at the number in the third decimal place. It's a , so round down.

Therefore, ( decimal places)

A2.

To round to one decimal place, look at the number in the second decimal place. It's a , so round up.

Therefore, ( decimal place)

To round a number to a given number of decimal places, the answer must have that number of decimal places - even if you have to add some zeros.

For example, rounding to two decimal places gives .

You need to write both decimal places, even though the second number is a zero, to show that you rounded to two decimal places.

Remember to look at the number after the one you're interested in. If it's less than , round down. If it's or more, round up.