BIDMAS or BODMAS
In Maths there is an order of operations. Here is the order
| Brackets | OR | Brackets | Indices (also powers) | Of power | Division | Division | Multiplication | Multiplication | Addition | Addition | Subtraction | Subtraction |
Multiplication and Division are ranked the same, so work from left to right
Addition and Subtraction are ranked the same, so work from left to right
Example 1. what is 7 + 3 x 4?
Example 2. what is (7 + 3) x 4?
Example 3. what is 25 − 3 + 7?
Example 4. what is 25 − (3 + 7)?
Example 5. what is 7 × 8 ÷ 2?
Example 6. what is 7 × (8 ÷ 2)?
Example 7. what is 5 × 62 + 3?
Example 8. what is (5 × 6)2 + 3?
Example 9. what is 5 × (62 + 3)?
By using BIDMAS calculate the multiplication before the addition, so calculate 3 × 4 first:
| 7 + 3 × 4 | = | 7 + 12 | = | 19 |
By using BIDMAS calculate what is in the brackets: 7 + 3, before the multiplication:
| (7 + 3) × 4 | = | 10 × 4 | = | 40 |
In BIDMAS Addition and Subtraction are ranked the same, so work from left to right:
| 25 − 3 + 7 | = | 22 + 7 | = | 29 |
By using BIDMAS calculate what is within the brackets: 3 + 7, before the subtraction:
| 25 − (3 + 7) | = | 25 − 10 | = | 15 |
In BIDMAS Multiplication and Division are ranked the same, so work from left to right and calculate 7 × 8 first:
| 7 × 8 ÷ 2 | = | 56 ÷ 2 | = | 28 |
By using BIDMAS calculate what is in the brackets: 8 ÷ 2, before the multiplication:
| 7 × (8 ÷ 2) | = | 7 × 4 | = | 28 |
By using BIDMAS calculate in the order: indices (or power), multiplication, and then addition, so:
5 × 62 + 3
| = | 5 × 36 + 3 | = | 180 + 3 | = | 183 |
By using BIDMAS calculate in the order: multiplication in the brackets, indices and then addition, so:
(5 × 6)2 + 3
| = | 302 + 3 | = | 900 + 3 | = | 903 |
By using BIDMAS calculate in the order: indices within the brackets, addition within the brackets and then multiplication so:
5 × (62 + 3)
| = | 5 × (36 + 3) | = | 5 × 39 | = | 195 |
to: 
