Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 2.5 Division of Integers and Order of Operations a Divide integers. b Use the rules for order of operations with integers. b Find products of three or more integers and simplify powers of integers. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 1

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 2.5 Division of Integers and Order of Operations THE QUOTIENT a The quotient is the number, if there is one, that when multiplied by b gives a. Divide integers. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 2

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 2.5 Division of Integers and Order of Operations a Divide integers. Divide, if possible. Check each answer. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 3

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 2.5 Division of Integers and Order of Operations a Divide integers. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 4

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 2.5 Division of Integers and Order of Operations a 2.5 Division of Integers and Order of Operations To multiply or divide two integers: a) Multiply or divide the absolute values. b) If the signs are the same, the answer is positive. c) If the signs are different, the answer is negative. a Divide integers. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 5

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 2.5 Division of Integers and Order of Operations EXCLUDING DIVISION BY 0 a Divide integers. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 6

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 2.5 Division of Integers and Order of Operations DIVIDENDS OF 0 a Divide integers. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 7

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 2.5 Division of Integers and Order of Operations a Divide integers. Divide. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 8

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 2.5 Division of Integers and Order of Operations RULES FOR ORDER OF OPERATIONS 1. Do all calculations within parentheses, brackets, braces, absolute-value symbols, numerators, or denominators. 2. Evaluate all exponential expressions. 3. Do all multiplications and divisions in order from left to right. 4. Do all additions and subtractions in order from left to right. b Use the rules for order of operations with integers. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 9

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 2.5 Division of Integers and Order of Operations b Use the rules for order of operations with integers. 10 Simplify. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 10

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 2.5 Division of Integers and Order of Operations b Use the rules for order of operations with integers. Always regard a fraction bar as a grouping symbol. It separates any calculations in the numerator from those in the denominator. Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 11

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. 2.5 Division of Integers and Order of Operations b Use the rules for order of operations with integers. 12 Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. Slide 12