Basic College Mathematics / Edition 8 available in Paperback
This clear, accessible treatment of mathematics features a building-block approach toward problem solving, realistic and diverse applications, and chapter organizer to help users focus their study and become effective and confident problem solvers. The Putting Your Skills to Work and new chapter-end feature, Math in the Media, present readers with opportunities to utilize critical thinking skills, analyze and interpret data, and problem solve using applied situations encountered in daily life. Chapter 7, Geometry, has been extensively revised and re-organized to include a new section 7.1 on angles and new section 7.4 devoted to triangles. Increased coverage of estimating with fractions and decimals with new "To Think About" exercises in Sections 2.5, 2.8, and 3.3 and a new lesson in Section 3.7. Coverage of fractions in Chapter 2 has been expanded as follows: Section 2.6 now begins with a discussion of least common multiples so that the subsequent coverage of least common denominators is more complete; a new lesson on order of operations in Section 2.8 offers readers additional review of these rules and practice applying them to fractions; and a new mid-chapter test on fractions appears after Section 2.5. Percent applications are now covered in two sections (Sections 5.4 and 5.5) to allow for a more patient presentation of this important topic.
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About the Author
John Tobey received his BA in mathematics from Wheaton College in Wheaton, Illinois, in 1965, his MA in mathematics education from Harvard University in 1966, and his PhD in mathematics education from Boston University in 1980. He has taught in the mathematics department at the United States Military Academy at West Point and served as the Mathematics Department Chairman at North Shore Community College in Danvers, Massachusetts, for five years. John has served as the president of the New England Mathematics Association of Two Year Colleges. He has received the NISOD award for outstanding teaching from the University of Texas at Austin. John is the author of seven mathematics books published by Pearson Education. John has spoken to many mathematics departments and at many professional meetings throughout the country on the topic of developmental mathematics education and distance learning in mathematics. He lives in Massachusetts.
Jeffrey Slater has been a professor at North Shore Community College for thirty-eight years and received the Teacher of the Year award in 2002. Jeff travels around the country speaking on student retention and is also a consultant to the Federal Government. He lives in Lexington, Massachusetts, with his wife Shelley and his yellow lab Gracie.
Jamie Blair has directed the Mathematics Learning Center at Orange Coast College for the past seventeen years. She designed, developed, and implemented the center, and as a result of this effort, has provided technical expertise related to the particulars of the Math Center to numerous other two-year colleges and at many conferences. In 2007, Jamie was appointed to the Team of Basic Skills Specialists by the California State Academic Senate. She is also currently participating on Title 3 committees on her campus. She specializes in teaching students who have never been successful in mathematics. She is an expert in the area of basic skills in relation to the learning needs of students. She lives in California.
Jennifer Crawford received her BS in mathematics from the University of Minnesota–Duluth in 1995 and her MS in mathematics from the University of Minnesota–Twin Cities in 1998. She taught a wide range of courses at North Shore Community College in Danvers, Massachusetts for five years. She currently teaches at Normandale Community College in Bloomington, Minnesota, where her focus is working with developmental math students. She lives in Minneapolis, Minnesota, with her husband, two young children, and black lab.
Table of ContentsPreface xiii
Diagnostic Pretest xxiv
Whole Numbers 1
Understanding Whole Numbers 2
Adding Whole Numbers 13
Subtracting Whole Numbers 24
Multiplying Whole Numbers 36
Dividing Whole Numbers 51
How Am I Doing? Sections 1.1-1.5 62
Exponents and the Order of Operations 63
Rounding and Estimating 70
Solving Applied Problems Involving Whole Numbers 81
Chapter 1 Organizer 98
Chapter 1 Review Problems 101
How Am I Doing? Chapter 1 Test 107
Understanding Fractions 110
Simplifying Fractions 118
Converting Between Improper Fractions and Mixed Numbers 128
Multiplying Fractions and Mixed Numbers 135
Dividing Fractions and Mixed Numbers 142
How Am I Doing? Sections 2.1-2.5 151
Test on Sections 2.1-2.5 152
The Least Common Denominator and Creating Equivalent Fractions 154
Adding and Subtracting Fractions 164
Adding and Subtracting Mixed Numbers and the Orderof Operations 172
Solving Applied Problems Involving Fractions 180
Chapter 2 Organizer 192
Chapter 2 Review Problems 195
How Am I Doing? Chapter 2 Test 199
Cumulative Test for Chapters 1-2 201
Using Decimal Notation 204
Comparing, Ordering, and Rounding Decimals 210
Adding and Subtracting Decimals 216
Multiplying Decimals 226
How Am I Doing? Sections 3.1-3.4 233
Dividing Decimals 234
Converting Fractions to Decimals and Order of Operations 243
Estimating and Solving Applied Problems Involving Decimals 252
Chapter 3 Organizer 261
Chapter 3 Review Problems 263
How Am I Doing? Chapter 3 Test 267
Cumulative Test for Chapters 1-3 268
Ratio and Proportion 269
Ratios and Rates 270
The Concept of Proportions 278
How Am I Doing? Sections 4.1-4.2 284
Solving Proportions 285
Solving Applied Problems Involving Proportions 293
Chapter 4 Organizer 302
Chapter 4 Review Problems 303
How Am I Doing? Chapter 4 Test 308
Cumulative Test for Chapters 1-4 310
Understanding Percent 312
Changing Between Percents, Decimals, and Fractions 319
Solving Percent Problems Using Equations 328
Solving Percent Problems Using Proportions 337
How Am I Doing? Sections 5.1-5.3 345
Solving Applied Percent Problems 346
Solving Commission, Percent of Increase or Decrease, and Interest Problems 354
Chapter 5 Organizer 362
Chapter 5 Review Problems 365
How Am I Doing? Chapter 5 Test 369
Cumulative Test for Chapters 1-5 371
Mean, Median, and Mode 549
Scientific Calculators A-23
Solutions to Practice Problems SP-1
Answers to Selected Exercises SA-1
Applications Index I-1
Subject Index I-7
Photo Credits P-1
To the Instructor
We share a partnership with you. For over thirty years we have taught mathematics courses at North Shore Community College. Each semester we join you in the daily task of sharing the knowledge of mathematics with students who often struggle with this subject. We enjoy teaching and helping studentsand we are confident that you share these joys with us.
Mathematics instructors and students face many challenges today. Basic College Mathematics was written with these needs in mind. This textbook explains mathematics slowly, clearly, and in a way that is relevant to everyday life for the college student. As with previous editions, special attention has been given to problem solving in the fourth edition. This text is written to help students organize the information in any problem-solving situation, to reduce anxiety, and to provide a guide that enables students to become confident problem solvers.
One of the hallmark characteristics of Basic College Mathematics that makes the text easy to learn and teach from is the building-block organization. Each section is written to stand on its own, and each homework set is completely self-testing. Exercises are paired and graded and are of varying levels and types to ensure that all skills and concepts are covered. As a result, the text offers students an effective and proven learning program suitable for a variety of course formatsincluding lecture-based classes; discussion-oriented classes; distance learning centers; modular, self-paced courses; mathematics laboratories; and computer-supported centers.
Basic College Mathematics is the first text in aseries that includes the following:
Tobey/Slater, Basic College Mathematics, Fourth Edition
Blair/Tobey/Slater, Prealgebra, Second Edition
Tobey/Slater, Beginning Algebra, Fifth Edition
Tobey/Slater, Intermediate Algebra, Fourth Edition
Tobey/Slater, Beginning and Intermediate Algebra
We have visited and listened to teachers across the country and have incorporated a number of suggestions into this edition to help you with the particular learning delivery system at your school. The following pages describe the key continuing features and changes in the fourth edition.
Key Features and Changes in the Fourth Edition
Developing Problem-Solving Abilities
We are committed as authors to producing a textbook that emphasizes mathematical reasoning and problem-solving techniques as recommended by AMATYC, NCTM, AMS, NADE, MAA, and other bodies. To this end, the problem sets are built on a wealth of real-life and real-data applications. Unique problems have been developed and incorporated into the exercise sets that help train students in data interpretation, mental mathematics, estimation, geometry and graphing, number sense, critical thinking, and decision making.
More Applied Problems
The exercises and applications have been extensively revised. Numerous real-world and real-data application problems show students the relevance of the math they are learning. The applications relate to everyday life, global issues beyond the borders of the United States, and other academic disciplines. Many include source citations. Nearly 50 percent of the applications are revised or new. The number of real-data applications has significantly increased. Roughly 30 percent of the applications have been contributed by actual students based on scenarios they have encountered in their home or work lives.
Math in the Media
New Math in the Media applications appear at the end of each chapter to offer students yet another opportunity to see why developing mastery of mathematical concepts enhances their understanding of the world around them. The applications are based on information from familiar media sourceseither online or print. The exercises may ask students to interpret or verify information, perform calculations, make decisions or predictions, or provide a rationale for their response.
Putting Your Skills to Work
This highly successful feature has been revised and expanded in the fourth edition. There are 10 new Putting Your Skills to Work applications in the new edition. These nonroutine application problems challenge students to synthesize the knowledge they have gained and apply it to a totally new area. Each problem is specifically arranged for independent and cooperative learning or group investigation of mathematical problems that pique student interest. Students are given the opportunity to help one another discover mathematical solutions to extended problems. The investigations feature open-ended questions and extrapolation of data to areas beyond what is normally covered in such a course.
As an integral part of each Putting Your Skills to Work problem, students are exposed to an interesting application of the Internet and encouraged to continue their investigation. This use of technology inspires students' confidence in their abilities to successfully use mathematics. In the fourth edition, the Internet Connections have been completely revised and updated.
The companion Web site now features annotated links to help students navigate the sites more efficiently and to provide a more user-friendly experience http://www.prenhall.com/tobey_basic.
Increased Integration and Emphasis on Geometry
Due to the emphasis on geometry on many statewide exams, geometry problems are integrated throughout the text. The new edition contains over 20 percent more geometry problems. Additionally, examples and exercises that incorporate a principle of geometry are now marked with a triangle icon for easy identification.
Mathematics Blueprint for Problem Solving
The successful Mathematics Blueprint for Problem Solving strengthens problem-solving skills by providing a consistent and interactive outline to help students organize their approach to problem solving. The blueprint now appears in at least one section of every chapter of the fourth edition. Once students fill in the blueprint, they can refer back to their plan as they do what is needed to solve the problem. Because of its flexibility, this feature can be used with single-step problems, multistep problems, applications, and nonroutine problems that require problem solving strategies. Students will not need to use the blueprint to solve every problem. It is available for those faced with a problem with which they are not familiar, to alleviate anxiety, to show them where to begin, and to assist them in the steps of reasoning.
Developing Your Study Skills
This highly successful feature has been retained in the new edition. The boxed notes are integrated throughout the text to provide students with techniques for improving their study skills and succeeding in math courses.
Graphs, Charts, and Tables
When students encounter mathematics in real-world publications, they often encounter data represented in a graph, chart, or table and are asked to make a reasonable conclusion based on the data presented. This emphasis on graphical interpretation is a continuing trend with today's expanding technology. The number of mathematical problems based on charts, graphs, and tables has been significantly increased in this edition. Students are asked to make simple interpretations, to solve medium-level problems, and to investigate challenging applied problems based on the data shown in a chart, graph, or table.
The fourth edition has a new design that enhances the accessible, student-friendly writing style. This new design includes new chapter opening applications and an improved and enhanced art program. See the walkthrough of features within this preface.
Mastering Mathematical Concepts
Each chapter opens with a concise pretest to familiarize the student with the learning objectives for that particular chapter.
Concise learning objectives listed at the beginning of each section allow students to preview the goals of that section.
Examples and Exercises
The examples and exercises in this text have been carefully chosen to guide students through Basic College Mathematics. We have incorporated several different types of exercises and examples to assist your students in retaining the content of this course.
Practice problems are found throughout the chapter, after the examples, and are designed to provide your students with immediate practice of the skills presented. The complete worked-out solution of each practice problem appears in the back of the book.
To Think About
These critical thinking questions may follow examples in the text and appear in the exercise sets. They extend the concept being taught, providing the opportunity for all students to stretch their minds, to look for patterns, and to make conclusions based on their previous experience. The number of these exercises has significantly increased in this edition.
Exercise sets are paired and graded. This design helps to ease the students into the problems; and the answers provide students with immediate feedback.
Cumulative Review Problems
Almost every exercise set concludes with a section of cumulative review problems. These problems review topics previously covered, and are designed to assist students in retaining the material. Many additional applied problems have been added to the cumulative review sections.
Calculator boxes are placed in the margin of the text to alert students to a scientific calculator application. In the exercise section a scientific calculator icon is used to indicate problems that are designed for solving with a calculator. There is also instruction on how to use a scientific calculator in the appendix.
Reviewing Mathematical Concepts
At the end of each chapter we have included problems and tests to provide your students with several different formats to help them review and reinforce the ideas that they have learned. This assists them not only with that specific chapter, but reviews previously covered topics as well.
The concepts and mathematical procedures covered are reviewed at the end of each chapter in a unique chapter organizer. This device has been extremely popular with faculty and students alike. It not only lists concepts and methods, but provides a completely worked-out example for each type of problem. Students find that preparing a similar chapter organizer on their own in higher-level math courses becomes an invaluable way to master the content of a chapter of material.
Verbal and Writing Skills
The exercises provide students with the opportunity to extend a mathematical concept by allowing them to use their own words, to clarify their thinking, and to become familiar with mathematical terms. These exercises have been included at the beginning of exercise sets to set the stage for the practice that follows, or at the end of the practice as a summary. The number of these exercises has increased in the fourth edition.
These problems are grouped by section as a quick refresher at the end of the chapter. They can also be used by the student as a quiz of the chapter material.
Found at the end of the chapter, the chapter test is a representative review of the material from that particular chapter that simulates an actual testing format. This provides the students with a gauge to their preparedness for the actual examination.
At the end of each chapter is a cumulative test. One-half of the content of each cumulative test is based on the math skills learned in previous chapters. By completing these tests for each chapter, the students build confidence that they have mastered not only the contents of the chapter but those of previous chapters as well.
Additional Content Changes in the Fourth Edition
- Throughout the text, explanations, definitions, and procedures have been carefully revised for clarity and precision.
- The coverage of fractions in Chapter 2 has been expanded as follows:
- Section 2.6 now begins with a discussion of least common multiples so that the subsequent coverage of least common denominators is more complete.
- A new lesson on order of operations in Section 2.8 offers students additional review of these rules and practice applying them to fractions.
- A new midchapter test on fractions appears after Section 2.5.
- Estimating is an important skill that allows students to check the reasonableness of their answers. The new edition contains increased coverage of estimating with fractions and decimals with new To Think About exercises in Sections 2.5, 2.8, and 3.3 and a new lesson in Section 3.7.
- Percent applications are now covered in two sections (Sections 5.4 and 5.5) to allow for a more relaxed presentation of these important topics.
- Because of the increased interest in geometry and the emphasis on this topic in many statewide exams, the coverage of geometry in Chapter 7 has been expanded and reorganized. The chapter now contains more coverage of angles and triangles as well as new coverage of rhombuses.
- The number of geometry problems integrated throughout the text has increased by over 20 percent. Examples and exercises that incorporate a principle of geometry are now marked by a triangle icon for easy identification.
Expanded and Enhanced Supplements Resource Package
The fourth edition is supported by a wealth of new supplements designed for added effectiveness and efficiency. New items include the MathPro 4.0 Explorer tutorial software together with a unique video clip feature, MathPro 5the new online version of the popular tutorial programproviding online access anytime anywhere and enhanced course management for instructors; a new computerized testing system, TestGen-EQ with Quizmaster-EQ; all-new lecture videos; lecture videos digitized on CD-ROM; Prentice Hall Tutor Center; and options for online and distance learning courses. Please see the list of supplements and descriptions.
Options For Online and Distance Learning
For maximum convenience, Prentice Hall offers online interactivity and delivery options for a variety of distance learning needs. Instructors may access or adopt these in conjunction with this text, Basic College Mathematics, fourth edition.
Companion Web Site
The companion Web site includes basic distance learning access to provide links to the text's Internet Connection activities. For the fourth edition the Internet Connection activities have been completely revised and updated. The Website now features annotated links to facilitate student navigation of the sites associated with the Internet Connection exercises. Links to additional sites of interest are also included.
This text-specific site offers students an online study guide via online self-quizzes. Questions are graded and students can e-mail their results. Syllabus Manager gives professors the option of creating their own online custom syllabus. Visit the Web site.
WebCT includes distance learning access to content found in the Tobey/Slater companion Web site plus more. WebCT provides tools to create, manage, and use online course materials. Save time and take advantage of items such as online help, communication tools, and access to instructor and student manuals. Your college may already have WebCT software installed on their server or you may choose to download it. Contact your local Prentice Hall sales representative for details.
For distance learning access to content and features from the Tobey/Slater companion Web site plus more. BlackBoard provides simple templates and tools to create, manage, and use online course materials. Take advantage of items such as online help, course management tools, communication tools, and access to instructor and student manuals. Contact your local Prentice Hall sales representative for details.
CourseCompass powered by BlackBoard
For distance learning access to content and features from the Tobey/Slater companion Web site plus more. Prentice Hall content is preloaded in a customized version of BlackBoard 5. CourseCompass provides all of BlackBoard 5's powerful course management tools to create, manage, and use online course materials. Contact your local Prentice Hall sales representative for details.
Supplements for the Instructor
- Annotated Instructor's Edition (ISBN: 0-13-090955-6)
- Complete student text
- Answers appear in place on the same text page as exercises
- Teaching Tips placed in the margin at key points where students historically need extra help.
- Answers to all exercises in Pretests, Review Problems, Tests, Cumulative Tests, Diagnostic Pretest, and Practice Final
- Instructor's Solutions Manual (ISBN: 0-13-092422-9)
- Detailed step-by-step solutions to the even-numbered exercises
- Solutions to every exercise (odd and even) in the Diagnostic Pretest, Pretests, Review Problems, Tests, Cumulative Tests, and Practice Final
- Solution methods reflect those emphasized in the text
- Instructor's Resource Manual with Tests (ISBN: 0-13-092410-5)
- Nine test forms per chapter6 free response, 3 multiple choice. Two of the free response tests are cumulative in nature.
- Four forms of Final Examination
- Answers to all items
- New TestGen-EQ with QuizMaster-EQ (Windows/Macintosh) (ISBN: 0-13092532-2)
- Algorithmically driven, text-specific testing program
- Networkable for administering tests and capturing grades online.
- The built-in Question Editor allows you to edit or add your own questions to create a nearly unlimited number of tests and worksheets
- Use the Function Plotter to create graphs
- Side-by-Side Testbank window and Test window show your test as you build it and as it will be printed.
- Extensive symbol palettes and expression templates assist professors in writing questions that include specialized tables and notation.
- Tests can be easily exported to HTML so they can be posted to the Web for student practice.
- QuizMaster-EQ Tests can be used for practice and graded tests. Instructors can set preferences to determine test availability, time limits, and number of tries.
- QuizMaster-EQ provides detailed reports of exam reports for individual students, classes, or the course.
- New MathPro Explorer 4.0
- Enables instructors to create either customized or algorithmically generated practice tests from any section of a chapter, or a test of random items.
- Includes an e-mail function for network users, enabling instructors to send a message to a specific student or an entire group.
- Network based reports and summaries for a class or student and for cumulative or selected scores are available.
Network Version for IBM/Macintosh (ISBN 0-13-092527-6)
- New MathPro 5
- The popular MathPro tutorial software available over the Internet.
- Online tutorial access-anytime, anywhere.
- Enhanced course management tools.
Companion Web Site
- Visit http://www.prenhall.com/tobey_basic
- Internet Connection activities have been completely revised and updated. Annotated links facilitate student navigation of the sites associated with the Internet Connection exercises.
- Additional links provided to sites of interest or resources.
- Provides an online study guide via self-quizzes. Questions are graded and students can e-mail their results.
- Syllabus Manager gives professors the option of creating their own online custom syllabus. Visit the Web site to learn more.
Supplements for Students
- Student Solutions Manual (ISBN: 0-13-092419-9)
- Solutions to all odd-numbered exercises.
- Solutions to every (odd and even) exercise found in Pretests, Chapter Tests, Chapter Reviews, and Cumulative Reviews.
- Solution methods reflect those emphasized in the textbook.
- Ask your bookstore about ordering.
- New MathPro Explorer 4.0 CD-ROM (Student version: 0-13-092533-0)
- Keyed to each section of the text for text-specific tutorial exercises and instruction.
- Warm-up exercises and graded practice problems.
- Video clips, providing a problem similar to one being attempted, show an explanation and worked-out solution on the board.
- Algorithmically generated exercises; includes bookmark, online help, glossary, and summary of scores for the exercises tried.
- Explorations enable students to explore concepts associated with each objective in more detail.
- New MathPro 5 Anytime. Anywhere. With Assessment.
- The popular MathPro tutorial software available over the Internet.
- Online tutorial access-anytime, anywhere.
- New Lecture Videos (ISBN: 0-13-092528-4)
- All new videotapes accompany the fourth edition.
- Keyed to each section of the text.
- Key concepts are explained step-by-step.
- New Digitized Lecture Videos on CD-ROM (ISBN: 0-13-09252-0)
- The entire set of Basic College Mathematics, fourth edition lecture video tapes in digital form.
- Convenient access anytime to video tutorial support from a computer at home or on campus.
- Available shrink-wrapped with the text or stand-alone.
- New Prentice Hall Tutor Center
- Staffed with developmental .math instructors and open 5 days a week, 7 hours per day.
- Obtain help for examples and exercises in Tobey/Slater, Basic College Mathematics, fourth edition via toll-free telephone, fax, or e-mail.
- The Prentice Hall Tutor Center is accessed through a registration number that may be bundled with a new text or purchased separately with a used book.
- Contact your Prentice Hall sales representative for details, or visit
- Companion Web Site Visit
- Internet Connection activities have been completely revised and updated. Anrn9tated links facilitate navigation of the sites associated with the Internet Connection exercises.
- Additional links provided to sites of interest or resources.
- Provides an online study guide via self-quizzes. Questions are graded and students can e-mail their results.
Additbnal Printed Material
Have your instructor contact the local Prentice Hall sales representative about the following resources:
- How to Study Mathematics
- Math on the Internet: A Student's Guide
- Prentice Hall/New York Times, Theme of the Times Newspaper Supplement
To the Student
This book was-written with your needs and interests in mind. The original manuscript and the first three editions of this book have been class-tested with students all across the country. Based on the suggestions of many students, the book has been refined and improved to maximize your learning while using this text.
We realize that students who enter college have sometimes never enjoyed math or never done well in a math course. You may find that you are anxious about taking this course. We want you to know that this book has been written to help you overcome those difficulties. Literally thousands of students across the country have found an amazing ability to learn math as they have used previous editions of this book. We have incorporated several learning tools and various types of exercises and examples to assist you in learning this material.
It helps to know that learning mathematics is going to help you in life. Perhaps you have entered this course feeling that little or no mathematics will be necessary for you in your future job. However, elementary school teachers, bus drivers, laboratory technicians, nurses, telephone operators, cable TV repair personnel, photographers, pharmacists, salespeople, doctors, architects, inspectors, counselors, and custodians who once believed that they needed little if any mathematics are finding that the mathematical skills presented in this course can help them. Mathematics, you will find, can help you too. In this book, a great number of examples and problems come from everyday life. You will be amazed at the number of ways mathematics is used in the world each day.
Our greatest wish is that you will find success and personal satisfaction in your mathematics course. We have written this book to help you accomplish that very goal.
Suggestions for Students
- Be sure to take the time to read the boxes marked Developing Your Study Skills. These ideas come from faculty and students throughout the United States. They have found ways to succeed in mathematics and they want to share those ideas with you.
- Read through each section of the book that is assigned by your instructor. You will be amazed at how much information you will learn as you read. It will "fill in the pieces" of mathematical knowledge. Reading a math book is a key part of learning.
- Study carefully each sample example. Then work out the related practice problem. Direct involvement in doing problems and not just thinking about them is one of the greatest guarantees of success in this course.
- Work out all assigned homework problems. Verify your answers in the back of the book. Ask questions when you don't understand or when you are not sure of an answer.
- Be sure to take advantage of end-of-chapter helps. Study the chapter organizers. Do the chapter review problems and the practice test problems.
- If you need help, remember that teachers and tutors can assist you. There is a Student Solutions Manual for this textbook that you will find most valuable. This manual shows worked-out solutions for all the odd-numbered exercises as well as diagnostic pretest, chapter review, chapter test, and cumulative test problems in this book. (If your college bookstore does not carry the Student Solutions Manual, ask them to order a copy for you.)
- Watch the videotapes or digitized videos on CD-ROM. Every section of this text is explained in detail on videotape. The work is solved using the same methods as explained in the text.
- Use MathPro Explorer 4.0 a tutorial software package that allows you to be tutored for any section in the book. It allows you to test yourself on your mastery of any section of any chapter of the text. Practice problem solving using the resources available to you.
- Remember, learning mathematics takes time. However, the time spent is well worth the effort. Take the time to study, do homework, review, ask questions, and just reflect over what you have learned. The time you invest in learning mathematics will reap dividends in your future courses and your future life.
We encourage you to look over your textbook carefully. Many important features have been designed into the book to make learning mathematics a more enjoyable activity. There are some special features, unique to this textbook, that student throughout the country have told us that they found especially helpful.
Four Key Textbook Features to Help You
- Practice problems with worked-out solutions. Immediately following every sample example is a similar problem called the Practice Problem. If you can work it out correctly by following the sample example as a general point of reference, then you will likely be able to do the homework exercises. If you encounter some difficulty, then you will find helpful the completely worked-out solutions to the practice problems that appear at the end of the text.
- Student-friendly application problems. You will find realistic and interesting application problems in every chapter of this book. Many of the problems were actually written or suggested by students. As you develop your problem-solving and reasoning skills in this course, you will encounter a number of real-world situations that help you to see how very helpful mathematical skills are in today's complex world.
- Putting Your Skills to Work problems. In each chapter are unique problem sets that ask you to analyze in depth some mathematical aspect of daily life. You will be asked to extend your knowledge, do some creative thinking, and work in small groups in a cooperative learning situation. You will even have a chance to explore some Web sites and see how the Internet can assist you in learning. These sections will awaken some new interests and help you to develop the critical thinking skills so necessary both in college and after you graduate.
- The Chapter Organizer. Everything you need to learn in any one chapter of this book is readily available at your fingertips in the chapter organizer. This very popular chart summarizes all methods covered in the chapter, gives page references, and shows a sample example completely worked out for every major topic covered. Students have found this tool a most helpful way to master the content of any chapter of the book.