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Order of Operations. A standard way to simplify mathematical expressions and equations. Purpose. Avoids Confusion Gives Consistency. For example: 8 + 3 * 4 = 11 * 4 = 44 Or does it equal 8 + 3 * 4 = 8 + 12 = 20. Order of operations are a set of rules

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Order of operations

Order of Operations

A standard way to simplify mathematical expressions and equations.


Purpose
Purpose

  • Avoids Confusion

  • Gives Consistency

For example:

8 + 3 * 4 = 11 * 4 = 44

Or does it equal

8 + 3 * 4 = 8 + 12 = 20


Order of operations

Order of operations are a set of rules

that mathematicians have agreed to

follow to avoid mass CONFUSION

when simplifying mathematical expressions

or equations. Without these simple, but

important rules, learning mathematics would

be maddening.


The rules
The Rules

  • Simplify within Grouping Symbols

    ( ), { }, [ ], | |

  • Simplify Exponents

    Raise to Powers

  • Complete Multiplication and Division from Left to Right

  • Complete Addition and Subtraction from Left to Right


Back to our example
Back to Our Example

For example:

8 + 3 * 4 = 11 * 4 = 44

Or does it equal

8 + 3 * 4 = 8 + 12 = 20

Using order of operations, we do the

multiplication first. So what’s our

answer?

20


How can we remember it
How can we remember it?

  • Parenthesis - Please

  • Exponents - Excuse

  • Multiplication - My

  • Division - Dear

  • Addition - Aunt

  • Subtraction - Sally