CONTENTS v 4 Systems of Numeration 171 4. 1 Additive, Multiplicative, and Ciphered Systems of Numeration 172 4. 2 Place-Value or Positional-Value Numeration Systems 181 4. 3 Other Bases 188 4. 4 Perform Computations in Other Bases 195 4. 5 Early Computational Methods 203 Chapter Summary 207 Chapter Review Exercises 209 Chapter Test 211 5 Number Theory and the Real Number System 212 5. 1 Number Theory 213 5. 2 The Integers 224 5. 3 The Rational Numbers 235 5. 4 The Irrational Numbers 250 5. 5 Real Numbers and Their Properties 258 5. 6 Rules of Exponents and Scientific Notation 265 5. 7 Arithmetic and Geometric Sequences 275 5. 8 The Fibonacci Sequence and The Golden Ratio 282 Chapter Summary 289 Chapter Review Exercises 290 Chapter Test 293 6 Algebra, Graphs, and Functions 294 6. 1 Order of Operations and Solving Linear Equations 295 6. 2 Formulas and Modeling 306 6. 3 Applications of Algebra 312 6. 4 Variation 321 6. 5 Solving Linear Inequalities 330 6. 6 Graphing Linear Equations 338 6. 7 Solving Systems of Linear Equations 352 6. 8 Linear Inequalities in Two Variables and Systems of Linear Inequalities 366 6. 9 Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula 376
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