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Ooops/GEMDAS

The rules for order of operations (ooops) in evaluating expressions are abbreviated GEMDAS:

GGrouping symbols( ) [ ] | | and fraction bars
EExponentiation
MDMultiplication and division× · ÷ /
ASAddition and subtraction+ −

All operations of equal priority go from left to right (actually there are exceptions to this which we will not worry about). Remember that multiplication and division have equal priority and addition and subtraction have equal priority. So for example:

5 - 3 + 4 -5

is computed as

[(5 - 3) + 4] - 5

Example

5 − [(4 + 2 · ) ÷ 10]
5 − [(4 + 2 · 8) ÷ 10]
5 − [(4 + 16) ÷ 10]
5 − [20 ÷ 10]
5 − 2
3