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Full Description
"Basic Mathematics for College: Calculators, Concepts, and Problem Solving, A Unified Approach", covers developmental mathematics with a short introduction to algebra, and also addresses math anxiety and study skills. The calculator is also integrated into the text, providing instruction on how and when to properly use the machine (and when not to use it). In all cases, conceptual understanding, mathematical vocabulary and critical thinking are emphasized.
Contents
CHAPTER 0 How to Study Mathematics 1 The Big Picture 2 0.1 Why Study Mathematics? 3 0.2 Differences Between Mathematics and Other Disciplines 3 0.3 Time Requirements in the Study of Mathematics 5 0.4 How to Study for a Mathematics Test 6 0.5 The Basics of the Electronic Scientific Calculator 7 Review Questions and Exercises 14 Practice Test 15 References 16 CHAPTER 1 Basics of Numeration Systems 17 The Big Picture 18 1.1 The Idea of Place Value 19 1.2 Reading and Writing Numbers in Numeral Form 24 1.3 Reading and Writing Numbers in Written Form 32 1.4 Special Characteristics of Powers of Ten 37 1.5 Comparing the Magnitudes of Numbers 44 Review Questions and Exercises 49 Practice Test 51 CHAPTER 2 Decimal Computations with a Calculator 53 The Big Picture 54 2.1 Numbers as Adjectives and Some Calculator Basics 55 2.2 Addition and Subtraction of Decimal Numbers Using a Calculator 2.3 Multiplication and Division of Decimals Using a Calculator 69 2.4 Rounding Off Decimal Quantities Using a Calculator 77 2.5 Developing Estimating Skills and Number Sense Using a Scientific Calculator 2.6 Other Useful Calculator Keystrokes 88 2.7 Applications with the Calculator 94 From the Past 99 Review Questions and Exercises 100 Practice Test 102 CHAPTER 3 Principles of Signed Arithmetic 105 The Big Picture 106 3.1 Signed Numbers 107 3.2 Addition and Subtraction of Signed Numbers 112 3.2.1 Addition of Signed Numbers 112 3.2.2 Subtraction of Signed Numbers 115 3.3 Multiplication and Division of Signed Numbers 118 3.4 Exponents and Roots 123 3.5 Order of Operations in Calculations 130 Did You Know? 135 Review Questions and Exercises 136 Practice Test 138 CHAPTER 4 Scientific Notation 141 The Big Picture 142 4.1 The Need for Scientific Notation 143 4.2 Converting from Standard Notation to Scientific Notation 146 4.3 Converting from Scientific Notation to Standard Notation 152 4.4 Scientific Notation and the Electronic Calculator 157 4.5 Comparing the Magnitude of Numbers in Scientific Notation 165 4.6 Summary of the Forms of a Number 168 The Big Picture Revisited 170 Review Questions and Exercises 171 Practice Test 173 CHAPTER 5 Computations with Fractions Using the Calculator The Big Picture 176 5.1 Finding Prime Factors with a Calculator 177 Did You Know? 182 5.2 The Greatest Common Factor 184 5.3 The Least Common Multiple 187 The Big Picture Revisited 190 5.4 The Basics of Fractions and the Calculator 190 The TI-83 Graphing Calculator 194 Did You Know? 195 5.5 Reducing and Building Fractions 198 5.6 Multiplication of Fractions 205 5.7 Division of Fractions 211 The Big Picture Revisited 217 5.8 Decimal Equivalents of Common Fractions and Vice Versa 218 5.9 Addition and Subtraction of Fractions 222 Did You Know? 227 5.10 General Applications of Arithmetic Operations 230 From the Past 237 Review Questions and Exercises 238 Practice Test 241 CHAPTER 6 Measuring Systems and Conversion of Units The Big Picture 244 6.1 The Concepts of Measurement and Standards 6.2 The U.S. Customary System 247 6.3 The Metric System 253 6.4 Conversion within the Metric System 261 The Big Picture Revisited 267 Review Questions and Exercises 268 Practice Test 270 CHAPTER 7 Ratio, Proportion, and Percent 273 The Big Picture 274 7.1 The Concept of Ratio 275 7.2 The Concept of Proportion 280 7.3 Practical Applications of the Concept of Proportion 285 7.4 Converting Between the Metric System and the U.S. Customary System 294 7.5 The Concept of Percent 298 7.6 Applications of Percent 304 The Big Picture Revisited 312 Review Questions and Exercises 313 Practice Test 316 CHAPTER 8 Graphs and Basic Statistics 319 The Big Picture 320 8.1 The Frequency Distribution 321 8.2 Bar Graphs and Line Graphs 325 8.3 Circle Graphs 332 8.4 Averages 337 8.4.1 The Mode 337 8.4.2 The Median 339 8.4.3 The Mean 340 The Big Picture Revisited 346 Review Questions and Exercises 348 Practice Test 351 CHAPTER 9 Introduction to Algebra 353 The Big Picture 354 9.1 Algebraic Expressions 355 9.2 Addition and Subtraction of Algebraic Expressions 360 9.3 Exponents 366 9.4 Translating English Sentences to Algebra 371 9.5 Solving Linear Equations 377 9.6 Applications Using Algebra 385 Review Questions and Exercises Practice Test 395 Answers to Exercises, Review Exercises, and Practice Tests 397 APPENDIX A Basic Geometry Concepts 451 APPENDIX B Significant Digits, Accuracy, and Precision 467 Index 475
