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Basic College Mathematics,9780130909541
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Basic College Mathematics

by ;
Edition:
4th
ISBN13:

9780130909541

ISBN10:
0130909548
Format:
Paperback
Pub. Date:
1/1/2002
Publisher(s):
PRENTICE HALL

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Summary

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.

Table of Contents

Preface xi
Acknowledgments xix
To the Student xxix
Diagnostic Pretest xxxi
Whole Numbers
1(106)
Pretest Chapter 1
2(2)
Understanding Whole Numbers
4(10)
Addition of Whole Numbers
14(12)
Subtraction of Whole Numbers
26(12)
Multiplication of Whole Numbers
38(13)
Division of Whole Numbers
51(11)
Putting Your Skills to Work: Costs for Vacation
61(1)
Exponents and Order of Operations
62(7)
Rounding and Estimation
69(11)
Applied Problems
80(27)
Math in the Media
94(1)
Chapter Organizer
95(3)
Chapter 1 Review Problems
98(6)
Chapter 1 Test
104(3)
Fractions
107(92)
Pretest Chapter 2
108(2)
Understanding Fractions
110(7)
Simplifying Fractions
117(9)
Improper Fractions and Mixed Numbers
126(7)
Multiplication of Fractions and Mixed Numbers
133(7)
Division of Fractions and Mixed Numbers
140(10)
Test on Sections 2.1 to 2.5
148(2)
The Least Common Denominator and Building up Fractions
150(9)
Addition and Subtraction of Fractions
159(7)
Combining Mixed Numbers and Order of Operations
166(9)
Putting Your Skills to Work: A Colonial Recipe
174(1)
Applied Problems Involving Fractions
175(24)
Math in the Media
187(1)
Chapter Organizer
188(3)
Chapter 2 Review Problems
191(4)
Chapter 2 Test
195(2)
Cumulative Test for Chapters 1--2
197(2)
Decimals
199(66)
Pretest Chapter 3
200(2)
Decimal Notation
202(6)
Comparing, Ordering, and Rounding Decimals
208(6)
Addition and Subtraction of Decimals
214(8)
Multiplication of Decimals
222(7)
Division of Decimals
229(9)
Putting Your Skills to Work: The Thinning Ice Cap
237(1)
Converting Fractions to Decimals and Order of Operations
238(8)
Applied Problems Involving Decimals
246(19)
Math in the Media
254(1)
Chapter Organizer
255(3)
Chapter 3 Review Problems
258(4)
Chapter 3 Test
262(1)
Cumulative Test for Chapters 1--3
263(2)
Ratio and Proportion
265(42)
Pretest Chapter 4
266(2)
Ratios and Rates
268(8)
The Concept of Proportions
276(6)
Solving Proportions
282(8)
Applied Problems Involving Proportions
290(17)
Putting Your Skills to Work: Studying the Moose Population
297(1)
Math in the Media
298(1)
Chapter Organizer
299(1)
Chapter 4 Review Problems
300(4)
Chapter 4 Test
304(2)
Cumulative Test for Chapters 1--4
306(1)
Percent
307(60)
Pretest Chapter 5
308(2)
Understanding Percent
310(7)
Changing Between Percents, Decimals, and Fractions
317(9)
Solving Percent Problems Using an Equation
326(8)
Solving Percent Problems Using a Proportion
334(7)
Solving Applied Percent Problems
341(7)
Solving Commission, Percent of Increase, and Interest Problems
348(19)
Putting Your Skills to Work: Nutrition Facts and Percents
354(1)
Math in the Media
355(1)
Chapter Organizer
356(3)
Chapter 5 Review Problems
359(3)
Chapter 5 Test
362(2)
Cumulative Test for Chapters 1--5
364(3)
Measurement
367(48)
Pretest Chapter 6
368(1)
American Units
369(7)
Metric Measurements: Length
376(9)
Metric Measurements: Volume and Weight
385(7)
Conversion of Units (Optional)
392(8)
Putting Your Skills to Work: Ships and Nautical Miles
399(1)
Solving Applied Measurement Problems
400(15)
Math in the Media
406(1)
Chapter Organizer
407(1)
Chapter 6 Review Problems
408(3)
Chapter 6 Test
411(2)
Cumulative Test for Chapters 1--6
413(2)
Geometry
415(98)
Pretest Chapter 7
416(3)
Angles
419(8)
Rectangles and Squares
427(9)
Parallelograms, Trapezoids and Rhombuses
436(8)
Triangles
444(7)
Square Roots
451(5)
The Pythagorean Theorem
456(8)
Circles
464(9)
Volume
473(9)
Putting Your Skills to Work: Newspaper Math
480(2)
Similar Geometric Figures
482(7)
Applied Problems Involving Geometry
489(24)
Math In the Media
495(1)
Chapter Organizer
496(4)
Chapter 7 Review Problems
500(6)
Chapter 7 Test
506(3)
Cumulative Test for Chapters 1--7
509(4)
Statistics
513(44)
Pretest Chapter 8
514(3)
Circle Graphs
517(6)
Bar Graphs and Line Graphs
523(7)
Putting Your Skills to Work: America's Aging Population
529(1)
Histograms
530(7)
Mean, Median and Mode
537(20)
Math in the Media
544(1)
Chapter Organizer
545(1)
Chapter 8 Review Problems
546(7)
Chapter 8 Test
553(2)
Cumulative Test for Chapters 1--8
555(2)
Signed Numbers
557(50)
Pretest Chapter 9
558(2)
Addition of Signed Numbers
560(11)
Subtraction of Signed Numbers
571(6)
Multiplication and Division of Signed Numbers
577(6)
Order of Operations with Signed Numbers
583(5)
Scientific Notation
588(19)
Putting Your Skills to Work: Mathematics of Cleaning Up Nuclear Waste
595(1)
Math in the Media
596(1)
Chapter Organizer
597(1)
Chapter 9 Review Problems
598(4)
Chapter 9 Test
602(2)
Cumulative Test for Chapters 1--9
604(3)
Introduction to Algebra
607(59)
Pretest Chapter 10
608(2)
Variables and Like Terms
610(5)
The Distributive Property
615(6)
Solve Equations Using the Addition Property
621(5)
Solve Equations Using the Division or Multiplication Property
626(5)
Solve Equations Using Two Properties
631(7)
Putting Your Skills to Work: The Relationship of Gender and Income
637(1)
Translating English to Algebra
638(7)
Applications
645(21)
Math in the Media
655(1)
Chapter Organizer
656(3)
Chapter 10 Review Problems
659(3)
Chapter 10 Test
662(2)
Cumulative Test for Chapters 1--10
664(2)
Practice Final Examination 666
Glossary 1(1)
Appendix A: Tables 1(4)
Basic Addition Facts
1(1)
Basic Multiplication Facts
2(1)
Prime Factors
3(1)
Square Roots
4(1)
Appendix B: The Use of a Scientific Calculator 5
Solutions to Practice Problems 1(1)
Selected Answers 1(1)
Index of Applications 1(4)
Subject Index 5
Photo Credits 1

Excerpts

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 students--and we are confident that you share these joys with us. Mathematics instructors and students face many challenges today. Basic College Mathematicswas 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 Mathematicsthat 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 formats--including lecture-based classes; discussion-oriented classes; distance learning centers; modular, self-paced courses; mathematics laboratories; and computer-supported centers. Basic College Mathematicsis the first text in a series 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 sources--either online or print.


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