Download presentation
1
Exponents, Roots, and Order of Operations
1.5 Exponents, Roots, and Order of Operations 1. 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. Copyright © 2011 Pearson Education, Inc.
2
Exponential Expressions
Power Exponential Expression Base Base: The number that is repeatedly multiplied. Exponent: A symbol written to the upper right of a base number that indicates how many times to use the base as a factor. Evaluate: Find the value.
3
Exponential Expressions
5 = 25 5 squared 5 5 cubed = 125
4
Watch for negative numbers raised to an EVEN power!!!
Exponential Expressions Base Exponent Evaluate Opposite of Parentheses are important!! No difference Watch for negative numbers raised to an EVEN power!!!
5
Exponential Expressions
6
Inverse Operations Add – Subtract Multiply – Divide Powers – Roots
7
Square Roots Radical Principal Square Root Radicand
What are the roots of 25? What is ? 5, – 5 or ±5 5
8
Square Roots 4 – 9 ± 8 Not a real number
9
PEMDAS Order of Operations Left to right!!! ( ) [ ] Also roots
Parentheses = Grouping Symbols Grouping Symbols??? No ( ) [ ] Yes
14
Undefined
16
1 3 4 1 4 1 3 1
17
Arithmetic Mean or Average
To find the arithmetic mean, or average, of n numbers, divide the sum of the numbers by n. Arithmetic mean =
18
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.
19
Simplify using order of operations.
b) 6 c) 30 d) 36 Copyright © 2011 Pearson Education, Inc. 1.5
20
Simplify using order of operations.
b) 6 c) 30 d) 36 Copyright © 2011 Pearson Education, Inc. 1.5
21
Simplify using order of operations.
b) c) d) undefined Copyright © 2011 Pearson Education, Inc. 1.5
22
Simplify using order of operations.
b) c) d) undefined Copyright © 2011 Pearson Education, Inc. 1.5
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.