Mathematics A

Numbers

# Orders and Operations

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Orders and Operations

- "Orders and Operations" refers to the sequence in which calculations in a mathematical expression should be carried out.
- BIDMAS/BODMAS is an acronym used to remember the order of operations: Brackets, Indices/Powers or Order, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
- Always perform operations in brackets first, no matter their positioning in the equation.
- After brackets, treat powers or indices next. Review exponents (squared, cubed etc.) and roots (square root, cube root etc.) calculations.
- Division and multiplication are on the same 'tier'. They should be solved from left to right in the equation or expression.
- The last operations you should handle are addition and subtraction (again, left-to-right).
- If single numbers appear next to brackets, this implies multiplication. For example, 2(3+4) equals 2*7=14.
- A common pitfall is to incorrectly conduct operations from right-to-left or forgetting to handle operations in brackets first. Ensure you can accurately apply BIDMAS/BODMAS to avoid these errors.
- Practice using the order of operations with fractions, decimals and negative numbers to enhance your understanding.
- Algebra also uses the rules of order of operations. Remember that letters (variables) can take the place of unknown numbers.
- Applying the rules of order consistently ensures that you always carry out calculations correctly, which is key to success in your Numbers revision.