When you are working something out that involves more than one operation, the order in which it is carried out matters.

The agreed order is:

Brackets

Powers or indices

Division and Multiplication

Addition and subtraction

This can be remembered using the word: **BIDMAS ** or **BODMAS**

However, remember that multiplication and division are equally important, so in a calculation just involving multiplication and division, you carry this out from **left to** **right**. Similarly with addition and subtraction.

**Examples**

6 + 9 ÷ 3 The first operation to do is **division** because we have no brackets or indices.

6 + 3 = 9

(6 + 9) ÷ 3 This time, we have **brackets**, so do those first.

15 ÷ 3 = 5

15 - 4 × 2 This time, we have no brackets, indices or division, so we **multiply** first.

15 - 8 = 7

(15 - 4) × 2 Here, we do** brackets** first.

11 x 2 = 22

4 × 3^{2} = 4 × 9 = 36 This time, we do the **power** first.

4 x 9 = 36

(4 × 3)^{2} This one needs us to do the **brackets **first.

12^{2} = 144

14 - 4 + 5 This time, we have only addition and subtraction. This means that they are equally important, so we do it **left to right.**

10 + 5 = 15

That's lots of examples to work through. Hopefully, they have given you a good overview of how to tackle the order of operations.

Are you ready to have a go at some questions yourself?