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Order of Operations
PEMDAS is an acronym for the order in which mathematical
operations should be performed as you move from left to right through
an expression or equation:
You may have had PEMDAS introduced to you as “Please Excuse
My Dear Aunt Sally.” Excuse us, but that’s a supremely lame 1950s-style
acronym. We prefer, Picking Eminem Made Dre A Star. Whatever. Just
remember PEMDAS.
If an equation contains any or all of these PEMDAS elements,
first carry out the math within the parentheses, then work out the
exponents, then the multiplication, the division, addition, and
finally the subtraction.
An example will make this easier to get:
![]() First work out the math in the parentheses (following
PEMDAS even within the parentheses—always do multiplication before
subtraction):
![]() ![]() Now work out the exponents:
![]() Then do the multiplication:
![]() Then the division:
![]() Then the addition:
![]() And, finally, the subtraction:
![]() |
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