When you are working something out that involves more than one operation, the order in which they are 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.

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 = 6 + 3 = 9. divide first

(6 + 9) ÷ 3 = 15 ÷ 3 = 5. brackets first

15 - 4 × 2 = 15 - 8 = 7. multiply first

(15 - 4) × 2 = 11 × 2 = 22. brackets first

4 × 3^{2} = 4 × 9 = 36. power first

(4 × 3)^{2} = 12^{2} = 144. brackets first

14 - 4 + 5 = 15. equally important, so left to right.