Estimation and rounding Rounding to a given number of places

There are ways to find approximate solutions by simplifying calculations. For example, it is not always necessary to give the exact number - you can give an approximate number by rounding up or down.

Part ofMathsEstimation and rounding

Rounding to a given number of places

Counting decimal places

Decimal places are counted from the decimal point:

Diagram of the number 5.743

So, the number \(5.1492\) has four decimal places, while \(4.34\) has two decimal places.

Example

Round \(9.6371\) to \(2\) decimal places

This means we need \(2\) digits after the decimal point.

Diagram of the number 9.6371 with an arrow pointing towards the 3rd digit after the decimal point

Because the next digit \(7\), is more than \(5\), we round the \(3\) up.

\(9.6371 = 9.64\) (\(2\) decimal places)

Question

Q1. Round \(7.2648\) to \(2\) decimal places.

Q2. Round \(8.352\) to \(1\) decimal place.

For example, rounding \(3.40021\) to two decimal places gives \(3.40\).

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 \(5\), round down. If it's \(5\) or more, round up.