There is a correct order to do calculations in, this is so everyone does calculations in the same way. When we do calculations we need to do them in the correct order.

**The order of operations is:
1) Brackets
2) Indices
3) Dividing and Multiplying
4) Adding and Subtracting
**

Dividing and Multlipying are in the same line - they can be done in any order.

Adding and Subtracting are also on the same line - they can be done in any order but it is usually easier to do them from left to right.

**
Example 1: 3 + 5 × 4
**

We have no brackets and no indices.

We will start with the multiplication

5 × 4 = 20

So we now have 3 + 20

3 + 20 = 23

3 + 5 × 4 = 23

**
Example 2: (2 + 7)² - 11
**

We start with the brackets.

2 + 7 = 9

So we now have 9² - 11

Next is the indices

9² = 81

So now we have 81 - 11

81 - 11 = 70

(2 + 7)² - 11 = 70

**
Example 3: 30 - 36 ÷ 3 + 5
**

We have no brackets or indices, so we start with the division

36 ÷ 3 = 12

So we now have 30 - 12 + 5

Next we have the addition and subtraction. It is easiest to do this from left to right (If we did the addition first it would be -12 + 5 = -7).

30 - 12 = 18

18 + 5 = 23

30 - 36 ÷ 3 + 5 = 23

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