Availablewiththistext! The ideal homework management tool to help your students take AIM and succeed AUFMANN& AUFMANN& LOCKWOOD LOCKWOOD AANN AAPPPPLLIIEEDD AAPPPPRROOAACCHH IMANUETFTEMHROAADCNTNIVE IMANUETFTEMHROAADCNTNIVE Richard Aufmann and Joanne Lockwood have built their reputations on a successful, objective-based approach to learning mathematics—the Aufmann Interactive Method (AIM). Featuring How Tos and paired Example/You Try Its,AIM engages students by asking them to practice the mathematics associated with concepts as they are presented. Being active participants as they read is crucial for students’success. Still, many of today’s students can benefit from more—more visual learning support, more interactivity, and more feedback. That’s why this text is integrated with Cengage Learning’s EEnnhhaanncceedd WWeebbAAssssiiggnn®, the groundbreaking homework management system. Powerful and effective, yet easy- to-use, EEnnhhaanncceedd WWeebbAAssssiiggnn offers automatic grading that saves you time. It also provides interactive tutorial assistance and practice that guides your students as they AIM for success in your course. Look inside to learn more about how Enhanced WebAssign can work for you AND your students. Easy to assign, easy to use, easy to manage Enhanced WebAssign® at a glance Content Features Selected Program and Technical Features Each of the Aufmann/Lockwood texts has some • Simple,friendly user interface or all of these features: • Course creation in two easy steps; assignment • Algorithmic [randomized] problemsbased on creation in five minutes approximately 2,000 text exercises • Instructor gradebook with weighted categories • Interactive worked-out problemsfrom the text with and scores algorithmic solutions • Automatic grading of online homework assign- • Step-by-steptutorials for specific problems ments • Videosthat provide additional instruction on • Proper display of mathematical expressions selected problems • Student forums,bulletin boards,messaging,and • Careful feedbackto help guide students to deeper built-in calendar and communication tools understanding • Compatible with Windows®,Apple®Macintosh, • Relevant eBook pagesfrom the text,plus interactive and Linux® Premium eBooks • Works with most web browsers:Mozilla Firefox®, • Personal Study Plansidentifying concepts students Internet Explorer®,and Safari™ still need to master • No proprietary plug-ins required • Live online tutoringvia whiteboarding,email,and • For superior,reliable,and immediate support— instant messaging Phone:(800) 955-8275 Enhanced WebAssign content is available with these developmental mathematics textbooks from Brooks/Cole Cengage Learning: Aufmann/Lockwood: McKeague: New! Basic College Mathematics:An Applied Approach,9th Edition Basic Mathematics,7th Edition New! Essential Mathematics with Applications,8th Edition Basic College Mathematics,2nd Edition New! Introductory Algebra:An Applied Approach,8th Edition Prealgebra,6th Edition New! Intermediate Algebra:An Applied Approach,8th Edition Beginning Algebra:A Text and Workbook,8th Edition New! Algebra:Introductory and Intermediate,5th Edition Intermediate Algebra:A Text and Workbook,8th Edition New! PREALG Elementary Algebra,8th Edition Prealgebra,Enhanced Edition,5th Edition Intermediate Algebra,8th Edition Beginning Algebra with Applications,Multimedia Edition 7th Edition Elementary and Intermediate Algebra,3rd Edition Intermediate Algebra with Applications,Multimedia Edition,7th Edition Tussy/Gustafson: Algebra:Beginning and Intermediate,Multimedia Edition,2nd Edition Elementary Algebra,4th Edition Gustafson/Karr/Massey: Intermediate Algebra,4th Edition New! 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Algebra for College Students,9th Edition Note:Selected paperbound books are identified as such to differentiate Larson: them from their hardbound versions Elementary Algebra,5th Edition Intermediate Algebra,5th Edition Get your FREE 45-day trial! www.webassign.net/brookscole Elementary and Intermediate Algebra,5th Edition www.webassign.net/brookscole What’s enhanced about Enhanced WebAssign®? Enhanced homework management for you, enhanced interactive learning for students Proven and reliable, EEnnhhaanncceedd WWeebbAAssssiiggnn allows you to easily assign, collect, grade, and record homework assignments via the web—but it goes far beyond simply duplicating Aufmann and Lockwood’s excellent practice exercises. This complete learning system also offers problem-specific tutorials, video examples, online tutoring, and links to a fully integrated and interactive eBook. 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Personal Study Plans and a Premium eBook ▼ Diagnostic quizzing for each chapter identifies concepts that students still need to master,and directs them to the appro- priate review material. And students will appreciate the interactive PPrreemmiiuumm eeBBooookk, which offers search,highlighting,and note- making tools as well as links to multimedia resources. It’s available to students when Specific features may vary among the texts in the Aufmann/Lockwood series.Some choose EEnnhhaanncceedd WWeebbAAssssiiggnn. screenshots shown here (for illustrative purposes) include content from other textbooks. ▼ Read It—links to relevant excerpts from the textbooks If students don’t have their textbook when they complete their online homework,all they have to do is click the Read Itlink under a problem. The link opens a relevant excerpt from the text that relates to the exercise,allowing them to review the context of the problem. 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Chat About It—live online tutoring Students can also click the Chat About Itlink for one- on-one tutoring (via whiteboarding,email,and instant messaging) from an experienced mathematics instructor. Sign up today! www.webassign.net/brookscole Contact your Cengage Learning Representative for information on packaging access to Enhanced WebAssign with each new text, or visit the URL noted above. Take AIM and Succeed! AIM Aufmann Interactive Method The Aufmann Interactive Method (AIM) is a proven learning system that has helped thousands of students master concepts and achieve results. To follow the AIM, step through the HOW TO examples that are provided and then work through the matched EXAMPLE / YOU TRY IT pairs. Aufmann HOWTO • 1 Write 3 as a percent. 8 3 3 3 100 300 1 (cid:3) (cid:2) 100% (cid:3) (cid:2) % (cid:3) % (cid:3) 37 % or 37.5% 8 8 8 1 8 2 Interactive EXAMPLE • 5 YOU TRY IT • 5 Write 2as a percent. Write 5as a percent. 3 6 Write the remainder in fractional form. Write the remainder in fractional form. 2 2 200 Your solution 4 Solution (cid:3) (cid:2)100%(cid:3) % 3. Write as a percent.Write 3 3 3 1 9 83 % remainder in fractional form 4 2 3 44 % (cid:2)66 % 9 3 For extra support, you can find the complete solutions to the YOU TRY IT problems in the back of the text. Method 2 2 SOLUTIONS TO CHAPTER 5 “YOU TRY IT” (cid:2) 621% You Try SECTION5.1 2 5 5 500 1 You Try It 5 (cid:2) (cid:5) 100% (cid:2) %(cid:2) 83 % 6 6 6 3 4 13 13 Y T It 6 Ask the Authors Dick Aufmann Why do I have to take this course? You may have heard that “Math is everywhere.”That is probably a slight exaggeration but math does find its way into many disciplines. There are obvious places like engineering,science, and medicine. There are other disciplines such as business,social science,and political science where math may be less obvious but still essential. If you are going to be an artist,writer,or musician,the direct connection to math may be even less obvious. Even so,as art historians who have studied the Mona Lisa have shown,there is a connection to math. But,suppose you find these reasons not all that compelling. There is still a reason to learn basic math skills: You will be a better consumer and able to make better financial choices for you and your family.For instance,is it better to buy a car or lease a car? Math can provide an answer. I find math difficult. Why is that? It is true that some people,even very smart people,find math difficult. Some of this can be traced to previous Joanne Lockwood math experiences. If your basic skills are lacking,it is more difficult to under- stand the math in a new math course. Some of the difficulty can be attributed to the ideas and concepts in math. They can be quite challenging to learn. Nonetheless,most of us can learn and understand the ideas in the math courses that are required for graduation. If you want math to be less difficult, practice. When you have finished practicing,practice some more.Ask an athlete,actor,singer,dancer,artist,doctor,skateboarder,or (name a profes- sion) what it takes to become successful and the one common characteristic they all share is that they practiced—a lot. Why is math important? As we mentioned earlier,math is found in many fields of study. There are,however,other reasons to take a math course. Primary among these reasons is to become a better problem solver. Math can help you learn critical thinking skills. It can help you develop a logical plan to We have taught math solve a problem. Math can help you see relationships between ideas and to identify patterns. When employers are asked what they look for in a new for many years. employee,being a problem solver is one of the highest ranked criteria. During that time, we have had students ask What do I need to do to pass this course? The most important us a number of thing you must do is to know and understand the requirements outlined by your instructor. These requirements are usually given to you in a syllabus. questions about Once you know what is required,you can chart a course of action. Set time mathematics and this aside to study and do homework. If possible,choose your classes so that you have a free hour after your math class. Use this time to review your lecture course. Here you find notes,rework examples given by the instructor,and to begin your homework. some of the questions All of us eventually need help,so know where you can get assistance with this class. This means knowing your instructor’s office hours,know the hours of we have been asked the math help center,and how to access available online resources. And finally, most often, starting do not get behind. Try to do some math EVERY day,even if it is for only 20 minutes. with the big one. This page intentionally left blank Basic College Mathematics An Applied Approach NINTH EDITION Instructor’s Annotated Edition Richard N. Aufmann Palomar College Joanne S. Lockwood Nashua Community College Australia • Brazil • Japan • Korea • Mexico • Singapore • Spain • United Kingdom • United States Basic College Mathematics: An Applied © 2011, 2009Brooks/Cole, Cengage Learning Approach, ALL RIGHTS RESERVED. No part of this work covered by the copyright Ninth Edition herein may be reproduced, transmitted, stored, or used in any form or Richard N. Aufmann and Joanne S. Lockwood by any means, graphic, electronic, or mechanical, including but not limited Acquisitions Editor: Marc Bove to photocopying, recording, scanning, digitizing, taping, Web distribution, Developmental Editor: Erin Brown information networks, or information storage and retrieval systems, except Assistant Editor: Shaun Williams as permitted under Section 107or 108of the 1976United States Copyright Act, without the prior written permission of the publisher. 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