Basic College Mathematics / Edition 1

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Overview

The engaging Martin-Gay workbook series presents a user-friendly approach to the concepts of basic math and algebra, giving readers ample opportunity to practice skills and see how those skills relate to both their lives and the real world. The goals of the workbooks are to build confidence, increase motivation, and encourage mastery of basic skills and concepts. Martin-Gay enhances readers' perception of math by exposing them to real-life situations through graphs and applications and ensures that readers have an organized, integrated learning system at their fingertips. The integrated learning resources program features book-specific supplements including Martin-Gay's acclaimed tutorial videotapes, CD videos, and MathPro 5. This book covers topics such as multiplying and dividing fractions, decimals, ratios and proportion, percent, geometry, statistics and probability, as well as an introduction to algebra. For anyone who wishing to brush up on their basic mathematical skills.
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Editorial Reviews

From The Critics
This text provides a foundation in basic college mathematics, covering whole numbers, fractions and decimals, ratio and proportion, percent, and measurement, and introducing geometry, statistics and probability, and algebra. Emphasis is on applications, interpretation, problem solving, writing, use of technology, and critical thinking. Learning features include worked examples following a four-step process of understanding, translation, solving, and interpretation. This second edition contains new material on study skills integrated throughout, and an increased integration of geometry concepts. The author teaches mathematics at the University of New Orleans. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Booknews
An introductory textbook for students needing math in non-mathematical courses. The author covers standard math topics from place value and adding; through statistics and geometry, to basic algebra. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

  • ISBN-13: 9780130843661
  • Publisher: Prentice Hall Professional Technical Reference
  • Publication date: 12/28/1999
  • Edition number: 1
  • Pages: 832

Meet the Author

K. Elayn Martin-Gay has taught mathematics at the University of New Orleans for more than 20 years and has received numerous teaching awards including the local University Alumni Association's Award for Excellence in Teaching.

Over the years, Elayn has developed a videotaped lecture series to help her students understand algebra better. This highly successful video material is the basis for her books: Basic College Mathematics, Second Edition; Prealgebra, Third Edition; Introductory Algebra, Second Edition; Intermediate Algebra, Second Edition; Algebra A Combined Approach, Second Edition; and her hardback series: Beginning Algebra, Third Edition; Intermediate Algebra, Third Edition; Beginning and Intermediate Algebra, Second Edition; and Intermediate Algebra: A Graphing Approach, Second Edition.

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Table of Contents

Preface ix
Index of Applications xviii
Chapter 1 The Whole Numbers 1
Chapter 1 Pretest 2
1.1 Tips for Success in Mathematics 3
1.2 Place Value and Names for Numbers 9
1.3 Adding Whole Numbers 17
1.4 Subtracting Whole Numbers 27
1.5 Rounding and Estimating 39
1.6 Multiplying Whole Numbers 47
1.7 Dividing Whole Numbers 57
Integrated Review--Operations on Whole Numbers 69
1.8 An Introduction to Problem Solving 71
1.9 Exponents and Order of Operations 81
Chapter 2 Multiplying and Dividing Fractions 101
Chapter 2 Pretest 102
2.1 Introduction to Fractions and Mixed Numbers 103
2.2 Factors and Prime Factorization 115
2.3 Simplest Form of a Fraction 121
Integrated Review--Summary on Fractions, Mixed Numbers, and Factors 129
2.4 Multiplying Fractions 131
2.5 Dividing Fractions 141
Chapter 3 Adding and Subtracting Fractions 161
Chapter 3 Pretest 162
3.1 Adding and Subtracting Like Fraction 163
3.2 Least Common Multiple 171
3.3 Adding and Subtracting Unlike Fractions 177
Integrated Review--Operations on Fractions 185
3.4 Adding and Subtracting Mixed Numbers 187
3.5 Order, Exponents, and the Order of Operations 197
3.6 Fractions and Problem Solving 203
Chapter 4 Decimals 225
Chapter 4 Pretest 226
4.1 Introduction to Decimals 227
4.2 Order and Rounding 233
4.3 Adding and Subtracting Decimals 241
4.4 Multiplying Decimals 249
4.5 Dividing Decimals 257
Integrated Review--Operation on Decimals 265
4.6 Estimating and Order of Operations 267
4.7 Fractions and Decimals 275
Chapter 5 Ratio and Proportion 295
Chapter 5 Pretest 296
5.1 Ratios 297
5.2 Rates 303
Integrated Review--Ratio and Rate 309
5.3 Proportions 311
5.4 Proportions and Problem Solving 317
Chapter 6 Percent 335
Chapter 6 Pretest 336
6.1 Introduction to Percent 337
6.2 Percents and Fractions 345
6.3 Solving Percent Problems Using Equations 353
6.4 Solving Percent Problems Using Proportions 359
Integrated Review--Percent and Percent Problems 365
6.5 Applications of Percent 367
6.6 Percent and Problem Solving: Sales Tax, Commission, and Discount 375
6.7 Percent and Problem Solving: Interest 383
Chapter 7 Measurement 403
Chapter 7 Pretest 404
7.1 Length: U.S. and Metric Systems of Measurement 405
7.2 Weight and Mass: U.S. and Metric Systems of Measurement 419
7.3 Capacity: U.S. and Metric Systems of Measurement 431
Integrated Review--Length, Weight, and Capacity 441
7.4 Temperature: U.S. and Metric Systems of Measurement 443
7.5 Energy: U.S. and Metric Systems of Measurement 449
Chapter 8 Geometry 467
Chapter 8 Pretest 468
8.1 Lines and Angles 469
8.2 Plane Figures and Solids 479
8.3 Perimeter 487
8.4 Area 497
8.5 Volume 507
Integrated Review--Geometry Concepts 515
8.6 Square Roots and the Pythagorean Theorem 517
8.7 Congruent and Similar Triangles 525
Chapter 9 Statistics and Probability 549
Chapter 9 Pretest 550
9.1 Reading Pictographs, Bar Graphs, and Line Graphs 551
9.2 Reading Circle Graphs 563
9.3 Reading Histograms 571
Integrated Review--Reading Graphs 577
9.4 Mean, Median, and Mode 579
9.5 Counting and Introduction to Probability 585
Chapter 10 Signed Numbers 609
Chapter 10 Pretest 610
10.1 Signed Numbers 611
10.2 Adding Signed Numbers 617
10.3 Subtracting Signed Numbers 625
Integrated Review--Signed Numbers 633
10.4 Multiplying and Dividing Signed Numbers 635
10.5 Order of Operations 643
Chapter 11 Introduction to Algebra 661
Chapter 11 Pretest 662
11.1 Introduction to Variables 663
11.2 Solving Equations: The Addition Property 673
11.3 Solving Equations: The Multiplication Property 679
Integrated Review--Expressions and Equations 685
11.4 Solving Equations Using Addition and Multiplication Properties 687
11.5 Equations and Problem Solving 695
Appendix A Addition Table and One Hundred Addition Facts 715
Appendix B Multiplication Table and One Hundred Multiplication Facts 717
Appendix C Review of Geometric Figures 719
Appendix D Table of Percents, Decimals, and Fraction Equivalents 721
Appendix E Table of Squares and Square Roots 722
Appendix F Compound Interest Table 723
Answers to Selected Exercises 1
Solutions to Selected Exercises 25
Index 1
Photo Credits 8
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Preface

About This Book

Basic College Mathematics Second Edition was written to provide a solid foundation in the basics of college mathematics, including the topics of whole numbers, fractions, decimals, ratio, and proportion, percent, and measurement as well as introductions to geometry, statistics and probability, and algebra topics. Specific care was taken to ensure that students have the most up-to-date relevant text preparation for their next mathematics course or for nonmathematical courses that require an understanding of algebraic fundamentals. I have tried to achieve this by writing a user-friendly text that is keyed to objectives and contains many worked-out examples. As suggested by the AMATYC Crossroads Document and the NCTM Standards (plus Addenda), real-life and real-data applications, data interpretation, conceptual understanding, problem solving, writing, cooperative learning, appropriate use of technology, mental mathematics, number sense, critical thinking, and geometric concepts are emphasized and integrated throughout the book.

The many factors that contributed to the success of the first edition have been retained. In preparing the Second Edition, I considered comments and suggestions of colleagues, students, and many users of the prior edition throughout the country.

Basic College Mathematics, Second Edition is part of a series of texts that can include Introductory Algebra, Second Edition; Prealgebra, Third Edition; Intermediate Algebra, Second Edition; and a combined text Algebra A Combined Approach, Second Edition. Throughout the series pedagogical features are designed todevelop student proficiency in algebra and problem solving, and to prepare students for future courses.

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Introduction

About This Book

Basic College Mathematics Second Edition was written to provide a solid foundation in the basics of college mathematics, including the topics of whole numbers, fractions, decimals, ratio, and proportion, percent, and measurement as well as introductions to geometry, statistics and probability, and algebra topics. Specific care was taken to ensure that students have the most up-to-date relevant text preparation for their next mathematics course or for nonmathematical courses that require an understanding of algebraic fundamentals. I have tried to achieve this by writing a user-friendly text that is keyed to objectives and contains many worked-out examples. As suggested by the AMATYC Crossroads Document and the NCTM Standards (plus Addenda), real-life and real-data applications, data interpretation, conceptual understanding, problem solving, writing, cooperative learning, appropriate use of technology, mental mathematics, number sense, critical thinking, and geometric concepts are emphasized and integrated throughout the book.

The many factors that contributed to the success of the first edition have been retained. In preparing the Second Edition, I considered comments and suggestions of colleagues, students, and many users of the prior edition throughout the country.

Basic College Mathematics, Second Edition is part of a series of texts that can include Introductory Algebra, Second Edition; Prealgebra, Third Edition; Intermediate Algebra, Second Edition; and a combined text Algebra A Combined Approach, Second Edition. Throughout the series pedagogical features are designed to developstudent proficiency in algebra and problem solving, and to prepare students for future courses.

Read More Show Less

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