In these lessons, we will learn the order of operations when calculating an expression with mixed operations.
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More Arithmetic lessons
Worksheets on Order of Operations
When a calculation involves a mixture of operations, the order of the operations is important. Multiplications and divisions are done first, while additions and subtractions are done afterwards. To override this, brackets need to be used.
The mnemonics BODMAS can be used to help us remember the order.
B |
Brackets First |
O |
Orders (ie Powers and Square Roots, etc.) |
D M |
Division and Multiplication (left-to-right) |
A S |
Addition and Subtraction (left-to-right) |
The following mnemonics are also used:
BIDMAS where I is for Indices
BEDMAS where E is for Exponents
PEMDAS where P is for Parenthesis
Order of Operations (BODMAS, BIDMAS, PEDMAS, PEMDAS) GCSE and key stage 3 maths.