# Order of operations

### Order of operations

This order of operations convention is as follows.

- Evaluate any expressions in brackets first.
- THEN evaluate any functions (e.g. powers, roots, trigonometric functions, logarithms).
- THEN evaluate any multiplications or divisions.
- THEN evaluate additions or subtractions.
- OTHERWISE operations of equal priority are evaluated left to right.

For example:

\( \newcommand{\eqncomment}[2]{\small{\text{ #2}} } \newcommand{\ceqns}{\begin{array}{rcll}} \newcommand{\ceqne}{\end{array}} \) \[ \ceqns && 8-12\div(7-4\times2) &\eqncomment{0.5}{evaluate the brackets first,}\\ &&&\eqncomment{0.5}{multiplication first,} \\ &=& 8-12\div(7-8) & \eqncomment{0.5}{evaluate the brackets,} \\ &=& 8-12\div -1 &\eqncomment{0.5}{complete the division,} \\ &=& 8-(-12) \\ &=& 8+12 &\eqncomment{0.5}{finally, complete the addition,} \\ &=& 20 \ceqne \]

#### To do

- BIDMAS worksheet (sigma Mathematics and Statistics Support Coventry University)
- Order of operations activity