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Order of Operations Mr. Clutter VMS Library

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Order of Operations A standard way to simplify mathematical expressions and equations.

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Purpose Avoids Confusion Gives Consistency For example: 8 + 3 * 4 = 11 * 4 = 44 Or does it equal 8 + 3 * 4 = 8 + 12 = 20

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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.

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The Rules 1. Simplify within Grouping Symbols ( ), { }, [ ], | | 2. Simplify Exponents Raise to Powers 3. Complete Multiplication and Division from Left to Right 4. Complete Addition and Subtraction from Left to Right

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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 whats our answer? 20

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How can we remember it? Parenthesis-Please Exponents-Excuse Multiplication-My Division-Dear Addition-Aunt Subtraction-Sally

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Summary Key points to remember that will give audience confidence or improve morale

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Laws of Exponents Whenever we have variables which contain exponents and have equal bases, we can do certain mathematical operations to them. Those operations.

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