Higher Education

Fundamentals of Mathematics, 10th Edition

  • James Van Dyke Portland Community College
  • James Rogers Portland Community College
  • Holli Adams Portland Community College
  • ISBN-10: 0538497971  |  ISBN-13: 9780538497978
  • 720 Pages
  • Previous Editions: 2007, 2003, 1999
  • © 2012 | Published
  • College Bookstore Wholesale Price = $222.75
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About

Overview

The FUNDAMENTALS OF MATHEMATICS, Tenth Edition, offers a comprehensive and objectives-based review of all basic mathematics concepts. The authors prepare students for further coursework by addressing three important student needs: 1) establishing good study habits and overcoming math anxiety, 2) making the connections between mathematics and their modern, day-to-day activities, and 3) being paced and challenged according to their individual level of understanding—whether right out of high school or returning to school later in life. The clear exposition and the consistency of presentation make learning arithmetic accessible for all. Key concepts presented in section objectives—and further defined within the context of How and Why—provide a strong foundation for learning and lasting comprehension. With a predominant emphasis on problem-solving skills, concepts, and applications based on "real world" data (with some introductory algebra integrated throughout), this book is suitable for individual study or for a variety of course formats: lab, self-paced, lecture, group, or combined formats.

Additional Product Information

Features and Benefits

  • CHAPTER 6 REORGANIZATION. Based on user and reviewer feedback, Chapter 6, "Percent," has been reorganized and updated. Conversions of fractions, decimals, and percents have been consolidated, and the section on "Applications of Percents" has been reorganized and significantly expanded. Plus, three new sections of applications have been added: "General Applications of Percent and Percent of Increase and Percent of Decrease" (Section 6.6); "Sales Tax, Discount and Commissions" (Section 6.7); and "Simple and Compound Interest as Applied to Savings and on Loans, Credit Card Payments and Balances" (Section 6.8).
  • EXAMPLES have been updated in each section for the Example and Warm-Up Sections, keeping the material timely.
  • Approximately 30-50% new "Routine (A & B) Exercises" in each section provide greater variety, newer homework sets different from the previous edition, and still provide enough practice of the basic skills.
  • REAL-WORLD DATA. The authors have meticulously updated and added new application problems in keeping with the emphasis on real-world data.
  • ESTIMATING. The topic of estimating has been simplified and rewritten for all operations and is included in whole numbers and decimals making it easier for students to grasp the concepts.
  • SECTION 1.8 has de-emphasized Pictorial Graphs based on reviewer and user feedback in Chapter 1.
  • COVERAGE OF CONVERSION TABLES. Located in Chapter 7, the coverage of conversion tables has been standardized to four decimal places, keeping uniformity throughout the chapter.
  • Greatest Common Factor (GCF) has been deleted based on reviewer feedback.
  • Enhanced WebAssign, used by over one million students at more than 1,100 institutions, allows you to assign, collect, grade, and record homework assignments via the web. This proven and reliable homework system includes thousands of algorithmically generated homework problems, links to relevant textbook sections, video examples, problem-specific tutorials, and more. NEW diagnostic quizzing for each chapter identifies concepts that students still need to master and directs them to the appropriate review material. Students will appreciate the interactive Premium eBook, which offers search, highlighting, and note-taking functionality, as well as links to multimedia resources, all available to students when you choose Enhanced WebAssign. Note that Enhanced WebAssign problems are indicated in the text by the > symbol.
  • OBJECTIVES are listed at the beginning of each section and correspond to the sequence of exposition which serve to tie together the "How" and "Why" pedagogy, including highlighted content, the examples and exercises. This provides structure and consistency to students.
  • VOCABULARY words that are new to the sections are defined and boxed off for easy reference.
  • HOW and WHY segments, corresponding directly to the objectives, explain and demonstrate concepts and skills in a step-by-step format.
  • CALCULATOR EXAMPLES, indicated by a calculator icon, demonstrate how a calculator may be used. The use of the calculator, however, is optional.
  • CAUTION remarks help to forestall common mistakes.
  • GOOD ADVICE FOR STUDYING is included at the beginning of each chapter to help students reduce math anxiety and develop good study habits.
  • EXAMPLES, following the presentation of each objective, are paired with a warm-up exercise to assist students in solving the exercise.
  • GETTING READY FOR ALGEBRA segments include a description, examples with warm ups, and exercises. Instructors may cover these segments as part of the normal curriculum, assign them to individual students, or omit them without loss of continuity.
  • SECTION EXERCISES are categorized to satisfy teaching and learning aims. Exercises for estimation, mental computation, pencil-and-paper computation, applications, and calculator skills are provided. In addition, opportunities for students to challenge their abilities, master communications skills, and participate in group problem solving are included.
  • STATE YOUR UNDERSTANDING are exercises that require a written response, usually no more than two or three sentences and can be kept as a journal by the student. These exercises help reinforce student understanding and comprehension
  • CHALLENGE EXERCISES stretch the content and are more demanding computationally and conceptually.
  • MAINTAIN YOUR SKILLS exercises continually reinforce mastery of skills and concepts from previous sections. Most of these sections review topics that will be helpful as the student moves on to the material of the following section.
  • GROUP WORK exercises and GROUP PROJECTS provide opportunities for small groups of students to solve problems and create reports. While use of GROUP ACTIVITY exercises is optional, their use encourages cooperative learning.
  • CHAPTER TRUE-FALSE CONCEPT REVIEW exercises require students to judge whether a statement is true or false, and, if false, to rewrite the sentence to make it true. Students evaluate their understanding of concepts and also gain experience using the vocabulary of mathematics.
  • CHAPTER TEST exercises end each chapter. Written to imitate a 50-minute exam, each CHAPTER TEST covers the entire chapter content. Students can use the CHAPTER TEST as a self-test before the classroom test.
  • END OF CHAPTER MATERIAL includes several features. The CHAPTER PROJECT is a group project that can be assigned as an out-of-class exercise. KEY CONCEPTS list the important concepts covered in the chapter, by section, along with examples. REVIEW EXERCISES provide 6–10 exercises per chapter section for students to review prior to demonstrating mastery of the topics via an exam.

Table of Contents

1. WHOLE NUMBERS.
Whole Numbers and Tables: Writing, Rounding, and Inequalities. Adding and Subtracting Whole Numbers. Multiplying Whole Numbers. Dividing Whole Numbers. Whole-Number Exponents and Powers of 10. Order of Operations. Average, Median, and Mode. Drawing and Interpreting Graphs.
2. PRIMES AND MULTIPLES.
Divisibility Tests. Multiples. Divisors and Factors. Primes and Composites. Prime Factorization. Least Common Multiple.
3. FRACTIONS AND MIXED NUMBERS.
Proper and Improper Fractions; Mixed Numbers. Simplifying Fractions. Multiplying and Dividing Fractions. Multiplying and Dividing Mixed Numbers. Building Fractions; Listing in Order; Inequalities. Adding Fractions. Adding Mixed Numbers. Subtracting Fractions. Subtracting Mixed Numbers. Order of Operations; Average.
CUMULATIVE REVIEW CHAPTERS 1–3.
4. DECIMALS.
Decimals: Reading, Writing, and Rounding. Changing Decimals to Fractions; Listing in Order. Adding and Subtracting Decimals. Multiplying Decimals. Multiplying and Dividing by Powers of 10; Scientific Notation. Dividing Decimals; Average, Median, and Mode. Changing Fractions to Decimals. Order of Operations; Estimating.
5. RATIO AND PROPORTION.
Ratio and Rate. Solving Proportions. Applications of Proportions.
CUMULATIVE REVIEW CHAPTERS 1–5.
6. PERCENT.
The Meaning of Percent. Changing Decimals to Percents and Percents to Decimals. Changing Fractions to Percents and Percents to Fractions. Fractions, Decimals, Percents: A Review. Solving Percent Problems. Applications of Percents. Sales Tax, Discounts, and Commissions. Interest on Loans.
7. MEASUREMENT AND GEOMETRY.
Measuring Length. Measuring Capacity, Weight, and Temperature. Perimeter. Area. Volume. Square Roots and the Pythagorean Theorem.
CUMULATIVE REVIEW CHAPTERS 1–7.
8. ALGEBRA PREVIEW; SIGNED NUMBERS.
Opposites and Absolute Value. Adding Signed Numbers. Subtracting Signed Numbers. Multiplying Signed Numbers. Dividing Signed Numbers. Order of Operations: A Review. Solving Equations.
APPENDIX A Calculators.
APPENDIX B Prime Factors of Numbers 1 through 100.
APPENDIX C Squares and Square Roots (0 to 99).
APPENDIX D Compound Interest Table (Factors).
MIDTERM EXAMINATION Chapters 1–4 .
FINAL EXAMINATION Chapters 1–8.
ANSWERS.
INDEX.
INDEX OF APPLICATIONS.

What's New

  • NEW! "Classroom Activities" at the end of each chapter, many of which are used by the authors in their own classes, replace the "Group Work" problems in each section. These activities (2 per chapter) are designed to be solved in a group and offers students an opportunity to apply several of their math skills to real-life topics. They will practice their critical thinking and problem-solving skills and also exercise their verbal and written communication skills.
  • NEW examples appear in each section's "Examples and Warm-Ups," placing examples and related exercises side by side so students can follow their answers step by step alongside the examples.
  • NEW! Approximately 200 added and updated application problems offer greater variety.
  • NEW! Twenty brand-new classroom activities provide increased opportunities for students to develop their problem-solving skills. Additionally, 35% of the basic exercises have been revised providing increased variety.
  • NEW! The topic of compound interest has been rewritten and simplified to enhance student comprehension, and a new emphasis on credit cards in Chapter 6 helps students make the connections between math concepts and the important everyday activities related to consumer credit.
  • The "Good Advice for Studying" features have been completely re-written and re-organized as a checklist to help advise students focus on best practices to improve their math skills and become better math students. They address such topics as time management, test performance and homework techniques. An index is included to help students locate a particular "good advice".

Alternate Formats

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  • Cengage Advantage Series

    ISBN-10: 1111578397 | ISBN-13: 9781111578398

    List Price = $189.95  | CengageBrain Price = $189.95  | College Bookstore Wholesale Price = $142.50

Learning Resource Bundles

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Bundle: Text + Student Solutions Manual

ISBN-10: 1111616078  | ISBN-13: 9781111616076

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This Bundle Includes:

  • Fundamentals of Mathematics
    List Price = $296.95  | CengageBrain Price = $296.95  | College Bookstore Wholesale Price = $222.75
  • Student Solutions Manual
    List Price = $108.95  | CengageBrain Price = $108.95  | College Bookstore Wholesale Price = $81.75


Bundle: Text + Enhanced WebAssign with eBook LOE Printed Access Card for One-Term Math and Science

ISBN-10:  1111978840  | ISBN-13:  9781111978846

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  • Fundamentals of Mathematics
    List Price = $296.95  | CengageBrain Price = $296.95  | College Bookstore Wholesale Price = $222.75
  • Enhanced WebAssign, 1 term (6 months) Printed Access Card for Developmental Math, Single-Term Courses
    List Price = $82.00  | College Bookstore Wholesale Price = $61.50


Bundle: Fundamentals of Mathematics, 10th + Math Study Skills Workbook. 4th

ISBN-10:  1111871078  | ISBN-13:  9781111871079

List Price = $365.95  | CengageBrain Price = $365.95  | College Bookstore Wholesale Price = $275.25

This Bundle Includes:

  • Fundamentals of Mathematics
    List Price = $296.95  | CengageBrain Price = $296.95  | College Bookstore Wholesale Price = $222.75
  • Math Study Skills Workbook
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Bundle: Text + Mathematics CourseMate with eBook Printed Access Card

ISBN-10:  1133071910  | ISBN-13:  9781133071914

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  • Fundamentals of Mathematics
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Bundle: Fundamentals of Mathematics, 10th + Conquering Math Anxiety (with CD-ROM), 3rd

ISBN-10:  1133025250  | ISBN-13:  9781133025252

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This Bundle Includes:

  • Fundamentals of Mathematics
    List Price = $296.95  | CengageBrain Price = $296.95  | College Bookstore Wholesale Price = $222.75
  • Conquering Math Anxiety
    List Price = $110.95  | CengageBrain Price = $110.95  | College Bookstore Wholesale Price = $83.25


Printed Text + Mathematics CourseMate with eBook Instant Access Code

ISBN-10:  1285044207 | ISBN-13:  9781285044200

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This Bundle Includes:

  • Fundamentals of Mathematics
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  • CourseMate, 2 terms (12 months) Instant Access
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Supplements

All supplements have been updated in coordination with the main title. Select the main title's "About" tab, then select "What's New" for updates specific to title's edition.

For more information about these supplements, or to obtain them, contact your Learning Consultant.

Instructor Supplements

CourseMate, 2 terms (12 months) Instant Access  (ISBN-10: 1133042740 | ISBN-13: 9781133042747)

Cengage Learning's CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Maximize your course success with the integrated eBook and chapter-specific learning tools that include flashcards, quizzes, videos, and more in your CourseMate. Key Features: Interactive eBook, Engagement Tracker, Learning Objectives, Tutorial Quizzes, Glossary and Flashcards, and Web Links and References.

List Price = $236.00  | CengageBrain Price = $236.00  | College Bookstore Wholesale Price = $236.00

Solution Builder  (ISBN-10: 1111429782 | ISBN-13: 9781111429782)

This online instructor database offers complete worked solutions to all exercises in the text, allowing you to create customized, secure solutions printouts (in PDF format) matched exactly to the problems you assign in class. Visit www.cengage.com/solutionbuilder

Complete Solutions Manual  (ISBN-10: 1111429499 | ISBN-13: 9781111429492)

The Complete Solutions Manual provides worked-out solutions to all of the problems in the text.

PowerLecture with ExamView®  (ISBN-10: 1111429502 | ISBN-13: 9781111429508)

This CD-ROM (or DVD) provides the instructor with dynamic media tools for teaching. Create, deliver, and customize tests (both print and online) in minutes with ExamView® Computerized Testing Featuring Algorithmic Equations. Easily build solution sets for homework or exams using Solution Builder's online solutions manual. Microsoft® PowerPoint® lecture slides and figures from the book are also included on this CD-ROM (or DVD).

Student Solutions Manual  (ISBN-10: 1111429480 | ISBN-13: 9781111429485)

Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.

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Enhanced WebAssign Instant Access for Liberal Arts Math & Teacher Math, Single-Term Courses  (ISBN-10: 1285858034 | ISBN-13: 9781285858036)

IMPORTANT: When purchasing this instant access code for Liberal Arts Math & Teacher Math, ensure that you are using it in one of the following courses: Mathematical Excursions, Topics in Contemporary Mathematics, Elementary Technical Mathematics, Mathematics for Teachers or Math for Liberal Arts. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If your students need to retake the course and you are using the same book AND edition then they will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your Cengage Learning Consultant.

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

Student Supplements

CourseMate, 2 terms (12 months) Instant Access  (ISBN-10: 1133042740 | ISBN-13: 9781133042747)

Cengage Learning's Mathematics CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Access an integrated eBook, learning tools including flashcards, quizzes, and more, all designed specifically to work with FUNDAMENTALS OF MATHEMATICS, 10th Edition.

List Price = $236.00  | CengageBrain Price = $236.00  | College Bookstore Wholesale Price = $236.00

Student Solutions Manual  (ISBN-10: 1111429480 | ISBN-13: 9781111429485)

Go beyond the answers; see what it takes to get there and improve your grade! This manual provides worked-out, step-by-step solutions to the odd-numbered problems in the text, giving you the information you need to truly understand how these problems are solved.

List Price = $108.95  | CengageBrain Price = $108.95  | College Bookstore Wholesale Price = $81.75

Enhanced WebAssign Instant Access for Liberal Arts Math & Teacher Math, Single-Term Courses  (ISBN-10: 1285858034 | ISBN-13: 9781285858036)

IMPORTANT: When purchasing this instant access code for Liberal Arts Math & Teacher Math, ensure that you are using it in one of the following courses: Mathematical Excursions, Topics in Contemporary Mathematics, Elementary Technical Mathematics, Mathematics for Teachers or Math for Liberal Arts. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If you need to retake the course and your instructor is using the same book AND edition then you will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your instructor.

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

Meet the Author

Author Bio

James Van Dyke

James Van Dyke has been an instructor of mathematics for over 30 years, teaching courses at both the high school and college levels. He is the co-author of eight different mathematics textbooks, including Fundamentals of Mathematics, published by Cengage Learning.

James Rogers

James Rogers has been teaching high school and college-level mathematics courses for more than 30 years. Though retired, he currently teaches part-time at Portland Community College. He is the co-author of nine mathematics textbooks, including Fundamentals of Mathematics, published by Cengage Learning.

Holli Adams

Hollis Adams teaches mathematics at Portland Community College, a position she has been in for nearly 20 years. She is the co-author of two mathematics textbooks, including Fundamentals of Mathematics, published by Cengage Learning.