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by Vernon C. Barker, Richard N. Aufmann and Joanne Lockwood

Edition: 6TH 03Copyright: 2003

Publisher: Houghton Mifflin Harcourt

Published: 2003

International: No

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The new edition of Essential Mathematics continues to provide mathematically sound and comprehensive coverage of the topics considered essential in a basic college math course. The Aufmann Interactive Method incorporated throughout the text ensures that students master the concepts presented by actively practicing them as they are introduced. This approach is ideal for traditional and returning students in both classroom and distance-learning environments.

For the Sixth Edition, topics from geometry have been integrated into the text, using verbal explanations. In addition, coverage of simple interest (Chapter 6) has been expanded.

- The Aufmann Interactive Method helps students learn and understand math concepts by doing the math. Every objective contains one or more sets of matched-pair examples that encourage interaction with the concepts. Students first walk through a worked-out example and then solve a similar "You Try It" example. Complete solutions to these examples are available in an appendix.
- An Integrated Learning System organized by objectives helps students understand what they're learning and why as they apply new concepts throughout the chapter. Each chapter begins with a list of goals that form the framework for a complete learning system. These objectives are woven throughout the text, in Exercises, Chapter Tests, Cumulative Reviews, as well as through the print and multimedia ancillaries.
- New! An Instructor's Annotated Edition, rich with support material, provides reduced pages from the Student Edition to leave space for the following features: Instructor Notes; In-Class Examples; Concept Checks; Discuss the Concepts; Special presentation of new Vocabulary/ Symbols/Formulas/Rules/Properties/Equations; Special review of these same features; Optional Student Activities; Quick Quizzes; Answers to Writing Exercises; Suggested Assignments; and Answers to all exercises.
- New! AIM for Success, a special student preface, offers techniques and support for student success.
- New! Prep Tests at the beginning of each chapter assess students' prerequisite skills. Students may check answers in an appendix, which refers them back to a previous objective for review, if necessary.
- New! Go Figure challenge problems follow the Prep Test to engage students in problem solving.
- New! Updated data problems, designed to show students the relevance of mathematics across the disciplines and in daily life, reflect current data and trends. Instructors will find these problems useful springboards for interesting class discussions.
- New! Additional and revised Projects and Group Activities enable students to see the connections between abstract concepts and real-life situations. Applications represent a variety of fields such as music, the consumer price index, buying a car, and symmetry.
- Strong emphasis on applications demonstrates the value of mathematics as a real-life tool. Contemporary application problems employ real source data. Chapter openers have been updated with new photos and captions illustrating a specific application from the chapter.
- Focus on Problem Solving and active learning strengthen problem-solving skills. This chapter-ending feature introduces students to various problem-solving strategies.
- Verbal/Mathematical Connection ensures thorough understanding of concepts. Unlike most textbooks, this series simultaneously introduces verbal phrases for mathematical operations and the operations themselves. Exercises then prompt students to make a connection between a phrase and a mathematical process.

**Barker, Vernon C. : Palomar College**

Aufmann, Richard N. : Palomar College

Lockwood, Joanne S. : Plymouth State College

Note: Each chapter begins with a Prep Test and concludes with Focus on Problem Solving, Projects and Group Activities, a Chapter Summary, a Chapter Review, and a Chapter Test. Chapters 2-12 include a Cumulative Review.

To the Student--AIM for Success

Index of Applications

1. Whole Numbers

Section 1.1 Introduction to Whole Numbers

Section 1.2 Addition of Whole Numbers

Section 1.3 Subtraction of Whole Numbers

Section 1.4 Multiplication of Whole Numbers

Section 1.5 Division of Whole Numbers

Section 1.6 Exponential Notation and the Order of Operations Agreement

Section 1.7 Prime Numbers and Factoring

2. Fractions

Section 2.1 The Least Common Multiple and Greatest Common Factor

Section 2.2 Introduction to Fractions

Section 2.3 Writing Equivalent Fractions

Section 2.4 Addition of Fractions and Mixed Numbers

Section 2.5 Subtraction of Fractions and Mixed Numbers

Section 2.6 Multiplication of Fractions and Mixed Numbers

Section 2.7 Division of Fractions and Mixed Numbers

Section 2.8 Order, Exponents, and the Order of Operations Agreement

3. Decimals

Section 3.1 Introduction to Decimals

Section 3.2 Addition of Decimals

Section 3.3 Subtraction of Decimals

Section 3.4 Multiplication of Decimals

Section 3.5 Division of Decimals

Section 3.6 Comparing and Converting Fractions and Decimals

4. Ratio and Proportion

Section 4.1 Ratio

Section 4.2 Rates

Section 4.3 Proportions

5. Percents

Section 5.1 Introduction to Percents

Section 5.2 Percent Equations: Part 1

Section 5.3 Percent Equations: Part II

Section 5.4 Percent Equations: Part III

Section 5.5 Percent Problems: Proportion Method

6. Applications for Business and Consumers

Section 6.1 Applications to Purchasing

Section 6.2 Percent Increase and Percent Decrease

Section 6.3 Interest

Section 6.4 Real Estate Expenses

Section 6.5 Car Expenses

Section 6.6 Wages

Section 6.7 Bank Statements

Final Examination

Appendix

Compound Interest Table

Monthly Payment Table

Solutions to You-Try-Its

Answers to the Odd-Numbered Exercises

Glossary

Index

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Summary

The new edition of Essential Mathematics continues to provide mathematically sound and comprehensive coverage of the topics considered essential in a basic college math course. The Aufmann Interactive Method incorporated throughout the text ensures that students master the concepts presented by actively practicing them as they are introduced. This approach is ideal for traditional and returning students in both classroom and distance-learning environments.

For the Sixth Edition, topics from geometry have been integrated into the text, using verbal explanations. In addition, coverage of simple interest (Chapter 6) has been expanded.

- The Aufmann Interactive Method helps students learn and understand math concepts by doing the math. Every objective contains one or more sets of matched-pair examples that encourage interaction with the concepts. Students first walk through a worked-out example and then solve a similar "You Try It" example. Complete solutions to these examples are available in an appendix.
- An Integrated Learning System organized by objectives helps students understand what they're learning and why as they apply new concepts throughout the chapter. Each chapter begins with a list of goals that form the framework for a complete learning system. These objectives are woven throughout the text, in Exercises, Chapter Tests, Cumulative Reviews, as well as through the print and multimedia ancillaries.
- New! An Instructor's Annotated Edition, rich with support material, provides reduced pages from the Student Edition to leave space for the following features: Instructor Notes; In-Class Examples; Concept Checks; Discuss the Concepts; Special presentation of new Vocabulary/ Symbols/Formulas/Rules/Properties/Equations; Special review of these same features; Optional Student Activities; Quick Quizzes; Answers to Writing Exercises; Suggested Assignments; and Answers to all exercises.
- New! AIM for Success, a special student preface, offers techniques and support for student success.
- New! Prep Tests at the beginning of each chapter assess students' prerequisite skills. Students may check answers in an appendix, which refers them back to a previous objective for review, if necessary.
- New! Go Figure challenge problems follow the Prep Test to engage students in problem solving.
- New! Updated data problems, designed to show students the relevance of mathematics across the disciplines and in daily life, reflect current data and trends. Instructors will find these problems useful springboards for interesting class discussions.
- New! Additional and revised Projects and Group Activities enable students to see the connections between abstract concepts and real-life situations. Applications represent a variety of fields such as music, the consumer price index, buying a car, and symmetry.
- Strong emphasis on applications demonstrates the value of mathematics as a real-life tool. Contemporary application problems employ real source data. Chapter openers have been updated with new photos and captions illustrating a specific application from the chapter.
- Focus on Problem Solving and active learning strengthen problem-solving skills. This chapter-ending feature introduces students to various problem-solving strategies.
- Verbal/Mathematical Connection ensures thorough understanding of concepts. Unlike most textbooks, this series simultaneously introduces verbal phrases for mathematical operations and the operations themselves. Exercises then prompt students to make a connection between a phrase and a mathematical process.

Author Bio

**Barker, Vernon C. : Palomar College**

Aufmann, Richard N. : Palomar College

Lockwood, Joanne S. : Plymouth State College

Table of Contents

Note: Each chapter begins with a Prep Test and concludes with Focus on Problem Solving, Projects and Group Activities, a Chapter Summary, a Chapter Review, and a Chapter Test. Chapters 2-12 include a Cumulative Review.

To the Student--AIM for Success

Index of Applications

1. Whole Numbers

Section 1.1 Introduction to Whole Numbers

Section 1.2 Addition of Whole Numbers

Section 1.3 Subtraction of Whole Numbers

Section 1.4 Multiplication of Whole Numbers

Section 1.5 Division of Whole Numbers

Section 1.6 Exponential Notation and the Order of Operations Agreement

Section 1.7 Prime Numbers and Factoring

2. Fractions

Section 2.1 The Least Common Multiple and Greatest Common Factor

Section 2.2 Introduction to Fractions

Section 2.3 Writing Equivalent Fractions

Section 2.4 Addition of Fractions and Mixed Numbers

Section 2.5 Subtraction of Fractions and Mixed Numbers

Section 2.6 Multiplication of Fractions and Mixed Numbers

Section 2.7 Division of Fractions and Mixed Numbers

Section 2.8 Order, Exponents, and the Order of Operations Agreement

3. Decimals

Section 3.1 Introduction to Decimals

Section 3.2 Addition of Decimals

Section 3.3 Subtraction of Decimals

Section 3.4 Multiplication of Decimals

Section 3.5 Division of Decimals

Section 3.6 Comparing and Converting Fractions and Decimals

4. Ratio and Proportion

Section 4.1 Ratio

Section 4.2 Rates

Section 4.3 Proportions

5. Percents

Section 5.1 Introduction to Percents

Section 5.2 Percent Equations: Part 1

Section 5.3 Percent Equations: Part II

Section 5.4 Percent Equations: Part III

Section 5.5 Percent Problems: Proportion Method

6. Applications for Business and Consumers

Section 6.1 Applications to Purchasing

Section 6.2 Percent Increase and Percent Decrease

Section 6.3 Interest

Section 6.4 Real Estate Expenses

Section 6.5 Car Expenses

Section 6.6 Wages

Section 6.7 Bank Statements

Final Examination

Appendix

Compound Interest Table

Monthly Payment Table

Solutions to You-Try-Its

Answers to the Odd-Numbered Exercises

Glossary

Index

Publisher Info

Publisher: Houghton Mifflin Harcourt

Published: 2003

International: No

Published: 2003

International: No

The new edition of Essential Mathematics continues to provide mathematically sound and comprehensive coverage of the topics considered essential in a basic college math course. The Aufmann Interactive Method incorporated throughout the text ensures that students master the concepts presented by actively practicing them as they are introduced. This approach is ideal for traditional and returning students in both classroom and distance-learning environments.

For the Sixth Edition, topics from geometry have been integrated into the text, using verbal explanations. In addition, coverage of simple interest (Chapter 6) has been expanded.

- The Aufmann Interactive Method helps students learn and understand math concepts by doing the math. Every objective contains one or more sets of matched-pair examples that encourage interaction with the concepts. Students first walk through a worked-out example and then solve a similar "You Try It" example. Complete solutions to these examples are available in an appendix.
- An Integrated Learning System organized by objectives helps students understand what they're learning and why as they apply new concepts throughout the chapter. Each chapter begins with a list of goals that form the framework for a complete learning system. These objectives are woven throughout the text, in Exercises, Chapter Tests, Cumulative Reviews, as well as through the print and multimedia ancillaries.
- New! An Instructor's Annotated Edition, rich with support material, provides reduced pages from the Student Edition to leave space for the following features: Instructor Notes; In-Class Examples; Concept Checks; Discuss the Concepts; Special presentation of new Vocabulary/ Symbols/Formulas/Rules/Properties/Equations; Special review of these same features; Optional Student Activities; Quick Quizzes; Answers to Writing Exercises; Suggested Assignments; and Answers to all exercises.
- New! AIM for Success, a special student preface, offers techniques and support for student success.
- New! Prep Tests at the beginning of each chapter assess students' prerequisite skills. Students may check answers in an appendix, which refers them back to a previous objective for review, if necessary.
- New! Go Figure challenge problems follow the Prep Test to engage students in problem solving.
- New! Updated data problems, designed to show students the relevance of mathematics across the disciplines and in daily life, reflect current data and trends. Instructors will find these problems useful springboards for interesting class discussions.
- New! Additional and revised Projects and Group Activities enable students to see the connections between abstract concepts and real-life situations. Applications represent a variety of fields such as music, the consumer price index, buying a car, and symmetry.
- Strong emphasis on applications demonstrates the value of mathematics as a real-life tool. Contemporary application problems employ real source data. Chapter openers have been updated with new photos and captions illustrating a specific application from the chapter.
- Focus on Problem Solving and active learning strengthen problem-solving skills. This chapter-ending feature introduces students to various problem-solving strategies.
- Verbal/Mathematical Connection ensures thorough understanding of concepts. Unlike most textbooks, this series simultaneously introduces verbal phrases for mathematical operations and the operations themselves. Exercises then prompt students to make a connection between a phrase and a mathematical process.

**Barker, Vernon C. : Palomar College**

Aufmann, Richard N. : Palomar College

Lockwood, Joanne S. : Plymouth State College

Note: Each chapter begins with a Prep Test and concludes with Focus on Problem Solving, Projects and Group Activities, a Chapter Summary, a Chapter Review, and a Chapter Test. Chapters 2-12 include a Cumulative Review.

To the Student--AIM for Success

Index of Applications

1. Whole Numbers

Section 1.1 Introduction to Whole Numbers

Section 1.2 Addition of Whole Numbers

Section 1.3 Subtraction of Whole Numbers

Section 1.4 Multiplication of Whole Numbers

Section 1.5 Division of Whole Numbers

Section 1.6 Exponential Notation and the Order of Operations Agreement

Section 1.7 Prime Numbers and Factoring

2. Fractions

Section 2.1 The Least Common Multiple and Greatest Common Factor

Section 2.2 Introduction to Fractions

Section 2.3 Writing Equivalent Fractions

Section 2.4 Addition of Fractions and Mixed Numbers

Section 2.5 Subtraction of Fractions and Mixed Numbers

Section 2.6 Multiplication of Fractions and Mixed Numbers

Section 2.7 Division of Fractions and Mixed Numbers

Section 2.8 Order, Exponents, and the Order of Operations Agreement

3. Decimals

Section 3.1 Introduction to Decimals

Section 3.2 Addition of Decimals

Section 3.3 Subtraction of Decimals

Section 3.4 Multiplication of Decimals

Section 3.5 Division of Decimals

Section 3.6 Comparing and Converting Fractions and Decimals

4. Ratio and Proportion

Section 4.1 Ratio

Section 4.2 Rates

Section 4.3 Proportions

5. Percents

Section 5.1 Introduction to Percents

Section 5.2 Percent Equations: Part 1

Section 5.3 Percent Equations: Part II

Section 5.4 Percent Equations: Part III

Section 5.5 Percent Problems: Proportion Method

6. Applications for Business and Consumers

Section 6.1 Applications to Purchasing

Section 6.2 Percent Increase and Percent Decrease

Section 6.3 Interest

Section 6.4 Real Estate Expenses

Section 6.5 Car Expenses

Section 6.6 Wages

Section 6.7 Bank Statements

Final Examination

Appendix

Compound Interest Table

Monthly Payment Table

Solutions to You-Try-Its

Answers to the Odd-Numbered Exercises

Glossary

Index