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Published byRahul Aney Modified over 2 years ago

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Order of Operations

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When an expression contains more than one operation, you can get different answers depending on the order in which you solve the expression.

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Here are some examples… Problem Without Order of Operations Following Order of Operations x 2 48 x (4 + 5) x x 7 63

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Mathematicians have agreed on a certain order for evaluating expressions, so we all arrive at the same answers. We often use grouping symbols, like parentheses, to help us organize complicated expressions into simpler ones.

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Please Excuse My Dear Aunt Sally is a helpful way to remember these rules for the order of operations.

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Please First, do all operations that lie inside parentheses. Example: (3 + 12) x 9 (15) x 9

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Excuse Next, do any work with exponents or roots. Example: (15) x x 9

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My Dear Working from left to right, do all multiplication and division. Example: x

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Aunt Sally Finally, working from left to right, do all addition and subtraction. Example:

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Important Note: Be sure to follow the order of operations within the parentheses.

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Remember… Please Excuse My Dear Aunt Sally Parentheses, Exponents, Multiplication & Division, Addition & Subtraction

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Some examples…. 8 x x 5 *Exponents* 8 x x 5 *Multiplication* * Addition* 67 (4 + 3 x 2) (4 + 3 x 2) - 5 *Parentheses - Multiplication* (4 + 6) - 5 *Parentheses – Addition* *Subtraction* 55

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