Basic College Mathematics: A Real-World Approach

Cover Page......Page 1
Title Page......Page 4
Copyright......Page 5
About the Author......Page 6
Preface......Page 12
Guided Tour: Features and Supplements......Page 19
Applications Index......Page 29
Contents......Page 7
The Human Side of Mathematics......Page 34
1.1 Standard Numerals......Page 35
1.2 Ordering and Rounding Whole Numbers......Page 46
1.3 Addition......Page 56
1.4 Subtraction......Page 69
1.5 Multiplication......Page 81
1.6 Division......Page 95
1.7 Primes, Factors, and Exponents......Page 104
1.8 Order of Operations and Grouping Symbols......Page 114
1.9 Equations and Problem Solving......Page 121
Collaborative Learning......Page 131
Summary......Page 132
Review Exercises......Page 135
Practice Test 1......Page 139
The Human Side of Mathematics......Page 142
2.1 Fractions and Mixed Numbers......Page 143
2.2 Equivalent Fractions: Building and Reducing......Page 153
2.3 Multiplication and Division of Fractions and Mixed Numbers......Page 162
2.4 The Least Common Multiple (LCM)......Page 174
2.5 Addition and Subtraction of Fractions......Page 184
2.6 Addition and Subtraction of Mixed Numbers......Page 194
2.7 Order of Operations and Grouping Symbols......Page 202
2.8 Equations and Problem Solving......Page 209
Collaborative Learning......Page 220
Summary......Page 221
Review Exercises......Page 223
Practice Test 2......Page 228
Cumulative Review Chapters 1–2......Page 230
The Human Side of Mathematics......Page 232
3.1 Addition and Subtraction of Decimals......Page 233
3.2 Multiplication and Division of Decimals......Page 244
3.3 Fractions and Decimals......Page 256
3.4 Decimals, Fractions, and Order of Operations......Page 265
3.5 Equations and Problem Solving......Page 272
Collaborative Learning......Page 279
Summary......Page 280
Review Exercises......Page 281
Practice Test 3......Page 284
Cumulative Review Chapters 1–3......Page 286
The Human Side of Mathematics......Page 288
4.1 Ratio and Proportion......Page 289
4.2 Rates......Page 298
4.3 Word Problems Involving Proportions......Page 305
Collaborative Learning......Page 312
Summary......Page 313
Review Exercises......Page 314
Practice Test 4......Page 316
Cumulative Review Chapters 1–4......Page 318
The Human Side of Mathematics......Page 320
5.1 Percent Notation......Page 321
5.2 Percent Problems......Page 331
5.3 Solving Percent Problems Using Proportions......Page 342
5.4 Taxes, Interest, Commissions, and Discounts......Page 346
5.5 Applications: Percent of Increase or Decrease......Page 355
5.6 Consumer Credit......Page 363
Research Questions......Page 372
Summary......Page 373
Review Exercises......Page 374
Practice Test 5......Page 378
Cumulative Review Chapters 1–5......Page 380
The Human Side of Mathematics......Page 382
6.1 Tables and Pictographs......Page 383
6.2 Bar and Line Graphs......Page 390
6.3 Circle Graphs (Pie Charts)......Page 407
6.4 Mean, Median, and Mode......Page 419
Research Questions......Page 430
Summary......Page 431
Review Exercises......Page 432
Practice Test 6......Page 436
Cumulative Review Chapters 1–6......Page 439
The Human Side of Mathematics......Page 442
7.1 Length: U.S. System......Page 443
7.2 Length: The Metric System......Page 449
7.3 Length: U.S. to Metric and Metric to U.S. Conversions......Page 454
7.4 Area: U.S., Metric, and Conversions......Page 459
7.5 Volume (Capacity): U.S., Metric, and Conversions......Page 464
7.6 Weight and Temperature: U.S., Metric, and Conversions......Page 470
Collaborative Learning......Page 476
Summary......Page 477
Review Exercises......Page 479
Practice Test 7......Page 482
Cumulative Review Chapters 1–7......Page 484
The Human Side of Mathematics......Page 486
8.1 Lines, Angles, and Triangles......Page 487
8.2 Finding Perimeters......Page 504
8.3 Finding Areas......Page 512
8.4 Volume of Solids......Page 521
8.5 Square Roots and the Pythagorean Theorem......Page 532
Collaborative Learning......Page 539
Summary......Page 540
Review Exercises......Page 544
Practice Test 8......Page 548
Cumulative Review Chapters 1–8......Page 551
The Human Side of Mathematics......Page 554
9.1 Addition and Subtraction of Integers......Page 555
9.2 Multiplication and Division of Integers......Page 571
9.3 The Rational Numbers......Page 579
9.4 Order of Operations......Page 589
Research Questions......Page 596
Summary......Page 597
Review Exercises......Page 598
Practice Test 9......Page 603
Cumulative Review Chapters 1–9......Page 605
The Human Side of Mathematics......Page 608
10.1 Introduction to Algebra......Page 609
10.2 The Algebra of Exponents......Page 620
10.3 Scientific Notation......Page 629
10.4 Solving Linear Equations......Page 635
10.5 Applications: Word Problems......Page 644
Collaborative Learning......Page 657
Summary......Page 658
Review Exercises......Page 659
Practice Test 10......Page 663
Cumulative Review Chapters 1–10......Page 665
Selected Answers......Page 668
Photo Credits......Page 682
Index......Page 684