Rounding to Decimal Places
# Rounding to Decimal Places

GCSE(F)

Rounding numbers to **decimal places** involves counting the required number of decimal places after the decimal point; then checking the *next* decimal place to determine whether any rounding is required.

For example, giving 0.54603 to two decimal places would initially be 0.54: the following (third) decimal place is a 6, so the number is rounded up to 0.55.

Examples of rounding to decimal places:

## Examples

1. An experiment in a physics lab has shown that the force required to move an object was 2.466 Newtons. What is this force measured to 1 decimal place (1 dp)?

Answer: 2.5 Newtons

The number is 2.4 to 1dp; check the following digit (6). As it is greater than 5 then round the number up.

2. Charlie bought a book for £10. It had `frac(1)(3)` off because it was in a sale. How much did Charlie pay?

Answer: £6.67

The purchase price is 10 x `frac(2)(3)` = 6.66666 recurring, or `6.dot6`. Round to 2 decimal places (for pence) gives 6.67. The implication to round to 2 decimal places is given by the use of pounds and pence.

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