# Order Of Operations

Brackets Orders Division
Multiplication Addition Subtraction

Arithmetic operations are performed in the BODMAS order shown above.

Any operations in brackets (parentheses) must be done first.

Then orders (powers and roots).

Then division and multiplication is done.

The last operations are addition and subtraction.

## Examples

3 × ( 4 + 5 ) | ( 15 – 9 ) ÷ 3 | 3 + 4 × 2 | 3 × 4 – 8 ÷ 2 |

= 3 × 9 | = 6 ÷ 3 | = 3 + 8 | = 12 – 4 |

= 27 | = 2 | = 11 | = 8 |

## Questions

Work these out using BODMAS.

**Q1.** ( 3 + 4 ) × 2 – 4

**Q2.** 3 + 4 × 2 – 4

**Q3.** 8 × 2 + 6 × 3

**Q4.** 8 ÷ 2 + 6 ÷ 3

**Q5.** 2 - 3 × 4 + 4 × 5

**Answers**

**A1.** 10

**A2.** 7

**A3.** 34

**A4.** 6

**A5.** 10

## Maths Fun - All Threes

Using three 3s and any order of operations such as +, -, ×, ÷ and ( ), complete number statements to equal 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10.

Example: ( 3 + 3 ) ÷ 3 = 2