1. Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 10.5 Order of Operations

2. Martin-Gay, Basic Mathematics, 4e 22 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Simplifying Expressions p 679 Order of Operations 1. Perform all operations within parentheses ( ), brackets [ ], or other grouping symbols such as square roots or fraction bars. 2.Evaluate any expressions with exponents. 3.Multiply or divide in order from left to right. 4.Add or subtract in order from left to right.

3. Martin-Gay, Basic Mathematics, 4e 33 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example p 679 Simplify. Add from left to right. Exponent

4. Martin-Gay, Basic Mathematics, 4e 44 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example p 679 Simplify. Multiply in the numerator divide Why is the answer positive?

5. Martin-Gay, Basic Mathematics, 4e 55 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example 679 Simplify.

6. Martin-Gay, Basic Mathematics, 4e 66 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example p 680 Simplify. parens square root multiply add subtract

7. Martin-Gay, Basic Mathematics, 4e 77 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example p 680 Simplify. parens brackets multiply brackets add multiply subtract

8. Martin-Gay, Basic Mathematics, 4e 88 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Practice 4 p 679 Simplify. exponent

9. Martin-Gay, Basic Mathematics, 4e 99 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Practice 5 p 680 Simplify. grouping exponent multiply

10. Martin-Gay, Basic Mathematics, 4e 10 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Practice 6 p 680 Simplify. grouping exponent multiply

11. Martin-Gay, Basic Mathematics, 4e 11 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example p 681 The graph shows the monthly normal temperatures for Barrow, Alaska. Use this graph to find the average of the temperatures for the months January through May. continued

12. Martin-Gay, Basic Mathematics, 4e 12 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. continued There are 5 months from January through May. The average of the temperatures is

13. Martin-Gay, Basic Mathematics, 4e 13 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. DONE

14. Martin-Gay, Basic Mathematics, 4e 14 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Practice 7 p 680 Simplify. parens add brackets multipy brackets add multiply subtract

15. Martin-Gay, Basic Mathematics, 4e 15 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example Simplify. 1 4 parens multiply