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Copyright © 2011 Pearson Education, Inc. Exponents, Roots, and Order of Operations Evaluate numbers in exponential form. 2.Evaluate square roots. 3.Use the order-of-operations agreement to simplify numerical expressions. 4.Find the mean of a set of data.

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Exponential Expressions Exponent Base Power Exponential Expression Exponent: A symbol written to the upper right of a base number that indicates how many times to use the base as a factor. Base: The number that is repeatedly multiplied. Evaluate: Find the value.

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Exponential Expressions 5 squared 5 5 = 25 5 cubed = 125

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Exponential Expressions BaseExponentEvaluate Opposite of Parentheses are important!! No difference Watch for negative numbers raised to an EVEN power!!!

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Exponential Expressions

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Inverse Operations Add – Subtract Multiply – Divide Powers – Roots

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Radicand Radical Principal Square Root Square Roots What are the roots of 25? 5, – 5 or ±5 What is ? 5

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Square Roots 4 – 9 ± 8 Not a real number

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Order of Operations Parentheses = Grouping Symbols ( ) [ ] Left to right!!! Grouping Symbols??? Yes No Also roots PEMDAS

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Arithmetic Mean or Average To find the arithmetic mean, or average, of n numbers, divide the sum of the numbers by n. Arithmetic mean =

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Arithmetic Mean or Average Bruce has the following test scores in his biology class: 92, 96, 81, 89, 95, 93. Find the average of his test scores.

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Slide Copyright © 2011 Pearson Education, Inc. Simplify using order of operations. a) 18 b) 6 c) 30 d)

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Slide Copyright © 2011 Pearson Education, Inc. Simplify using order of operations. a) 18 b) 6 c) 30 d)

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Slide Copyright © 2011 Pearson Education, Inc. Simplify using order of operations. a) b) c) d) undefined 1.5

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Slide Copyright © 2011 Pearson Education, Inc. Simplify using order of operations. a) b) c) d) undefined 1.5

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