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Order of operations

The order of operations is a collection of rules that gives the correct sequence of steps in a calculation.

BIDMAS is often used as a way to remember the order.

Brackets
Indices (power)
Division
Multiplication
Addition
Subtraction

Note:

When only addition and subtraction are left in the calculation, work them out in the order you find them - starting from the left of the calculation and working towards the right.

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Examples

Image gallerySkip image gallerySlide 1 of 4, What is two plus three multiplied by six?, Use the correct order of operations to do this calculation: 1. Brackets, 2. Indices, 3. Division and Multiplication, 4. Addition and Subtraction.
Image gallerySkip image gallerySlide 1 of 4, What is four plus two multiplied by three squared?, Calculate 4 + 2 × 3² using the correct order of operations.
Image gallerySkip image gallerySlide 1 of 4, What is sixty minus brackets, four-squared plus two multiplied by five., Calculate 60 – (4² + 2 x 5) using the correct order of operations.
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Question

Calculate

9 × 2 + 20 ÷ 2

Question

Find the value of

2³ + 6 ÷ 2

Example

Calculate the value of

8 + 3(5 − 1)

Example

Calculate the value of

5 x 3 + (5 + 2²)

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Test yourself

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