1019763_FM_VOL-I.qxp 9/17/07 4:22 PM Page viii 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 S 50 R 51 1st Pass Pages 1019763_FM_VOL-I.qxp 9/17/07 4:22 PM Page viii 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 S 50 R 51 1st Pass Pages 44376_00a_FM_i-vii.qxd 1/18/70 5:15 PM Page i EDITION 3 DEVELOPMENTAL MATHEMATICS FOR COLLEGE STUDENTS ALAN S.TUSSY CITRUS COLLEGE R.DAVID GUSTAFSON ROCK VALLEY COLLEGE DIANE R.KOENIG ROCK VALLEY COLLEGE Australia • Brazil • Japan • Korea • Mexico • Singapore • Spain • United Kingdom • United States Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. This is an electronic version of the print textbook. Due to electronic rights restrictions, some third party content may be suppressed. Editorial review has deemed that any suppressed content does not materially a ffect the overall learning experience. The publisher reserves the right to remove content from this title at any time if subsequent rights restrictions require it. For valuable information on pricing, previous editions, changes to current editions, and alternate formats, please visit w ww.cengage.com/highered to search by ISBN#, author, title, or keyword for materials in your areas of interest. Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 5522660099__0000__ffmm__ppii--ppxxxxvvii..iinndddd iiii 22//11//1100 1111::3377::4433 PPMM 1019763_FM_VOL-I.qxp 9/17/07 4:22 PM Page viii 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 S 50 R 51 1st Pass Pages 44376_00a_FM_i-vii.qxd 1/18/70 5:15 PM Page ii Developmental Mathematics for College Students, © 2011, 2006Brooks/Cole, Cengage Learning Third Edition ALL RIGHTS RESERVED. No part of this work covered by the copyright Alan S. Tussy, R. David Gustafson, Diane R. 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USA Cover Designer: Terri Wright Cover Image: Background: Mitsushi Okada/ Cengage Learning is a leading provider of customized learning solutions Getty Images; Y Button: © Art Parts/Fotosearch RF with office locations around the globe, including Singapore, the United Kingdom, Australia, Mexico, Brazil, and Japan. Locate your local office at Compositor: MPS Limited, A Macmillan Company www.cengage.com/global Cengage Learning products are represented in Canada by Nelson Education, Ltd. To learn more about Brooks/Cole, visit www.cengage.com/brookscole Purchase any of our products at your local college store or at our preferred online store www.CengageBrain.com Printed in the United States of America 1 2 3 4 5 6 7 14 13 12 11 10 Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 44376_00a_FM_i-vii.qxd 1/18/70 5:15 PM Page iii In memory of Nancy B.Kinsell and Robert C.Kinsell, whose dedication to their family and their country has always been an inspiration to me. ALAN S.TUSSY To Don Rubo,whom I admire and respect. R.DAVID GUSTAFSON To my students, who have inspired me to be the best mathematics teacher I possibly can be. DIANE R.KOENIG Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 1019763_FM_VOL-I.qxp 9/17/07 4:22 PM Page viii 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 S 50 R 51 1st Pass Pages 44376_00a_FM_i-vii.qxd 1/18/70 5:15 PM Page v C O N T E N T S Study Skills Workshop S-1 CHAPTER 1 Whole Numbers 1 1.1 An Introduction to the Whole Numbers 2 THINK IT THROUGH Re-entry Students 9 1.2 Adding Whole Numbers 15 1.3 Subtracting Whole Numbers 29 mages 1.4 Multiplying Whole Numbers 40 Getty I 1.5 Dividing Whole Numbers 54 mages/ 1.6 Problem Solving 68 mstock I 1.7 Co Prime Factors and Exponents 80 1.8 The Least Common Multiple and the Greatest Common Factor 89 1.9 Order of Operations 101 THINK IT THROUGH Education Pays 108 Chapter Summary and Review 113 Chapter Test 128 CHAPTER 2 The Integers 131 2.1 An Introduction to the Integers 132 THINK IT THROUGH Credit Card Debt 135 2.2 Adding Integers 144 THINK IT THROUGH Cash Flow 148 2.3 my Subtracting Integers 156 Ala 2.4 Multiplying Integers 165 mages Ltd/ 2.5 Dividing Integers 175 OJO I © 2.6 Order of Operations and Estimation 183 Chapter Summary and Review 192 Chapter Test 201 Cumulative Review* *Available online at www.cengage.com/math/tussy v Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.