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Principles of Mathematics

Principles of Mathematics


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About the Book

Table of Contents:
CHAPTER 1 Whole Numbers Review 1 Introduction 1 1-1 Basic Addition 2 1-2 Addition of Larger Numbers 5 1-3 Basic Subtraction 10 1-4 Subtraction of Larger Numbers 13 1-5 Basic Multiplication 19 1-6 Multiplication of Larger Numbers 22 1-7 Basic Division 28 1-8 Division of Larger Numbers 31 Chapter 1 Review Tests 41 CHAPTER 2 symbols and definitions 45 Introduction 45 2-1 Whole and Decimal Numbers and Place Value 47 2-2 Words Used for Mathematical Operations 50 2-3 Factors, Prime and Composite Numbers 52 2-4 Exponential Notation 53 2-5 Order of Operations 55 2-6 Commutative and Associative Properties 59 2-7 Rational Numbers 62 2-8 Procedure for Solving Application Problems 64 Chapter 2 Review Tests 69 CHAPTER 3 prime numbers 73 Introduction 73 3-1 Listing All of the Factors of a Number 74 3-2 Prime Versus Composite Numbers and Divisibility Tests 77 3-3 Prime Factoring 83 3-4 What Is a Lowest Common Multiple? 88 3-5 Finding the Lowest Common Multiple 90 Chapter 3 Review Tests 101 Cumulative Review #1-Chapters 1--3 105 CHAPTER 4 FRACTIONs ADDITION AND SUBTRACTION 107 Introduction 107 4-1 What Is a Fraction? 108 4-2 Fraction Terms 109 4-3 Changing Improper Fractions into Mixed Numbers and Back Again 110 4-4 Reducing Fractions 114 4-5 Building Equivalent Fractions 119 4-6 Fraction Addition 123 4-7 Addition of Mixed Numbers 128 4-8 Fraction Subtraction 132 4-9 Mixed Number Subtraction and Borrowing 135 Chapter 4 Review Tests 143 CHAPTER 5 FRACTIONs MULTIPLICATION AND DIVISION 147 Introduction 147 5-1 Multiplication of Fractions and Cancellation 148 5-2 Multiplication of Mixed Numbers 155 5-3 Division of Fractions 157 5-4 Division of Mixed Number Fractions 160 Chapter 5 Review Tests 163 CHAPTER 6 DECIMALS ADDITION, SUBTRACTION, AND ROUNDING 167 Introduction 167 6-1 Place Value 168 6-2 Decimals to Fractions and Back Again 171 6-3 Rounding 176 6-4 Addition and Subtraction of Decimals 180 Chapter 6 Review Tests 185 Cumulative Review #2-Chapters 1--6 189 CHAPTER 7 DECIMALS MULTIPLICATION AND DIVISION 191 Introduction 191 7-1 Multiplication of Decimals 192 7-2 Shortcut for Multiplying by 10 or Powers of 10 195 7-3 Division of Decimals 198 7-4 Shortcut for Dividing by 10 or Powers of 10 202 Chapter 7 Review Tests 205 CHAPTER 8 PERCENTS 209 Introduction 209 8-1 `Getting Out of Percent 210 8-2 Changing Fractions and Decimals into Percents 217 Chapter 8 Review Tests 223 Arithmetic Review 227 Cumulative Review #3-Chapters 1--8 233 CHAPTER 9 introduction to the metric system 237 Introduction 237 9-1 Metric System and Calculator Method for Conversions in the Metric System 238 9-2 Metric Prefix Conversion Line 241 Chapter 9 Review Tests 243 CHAPTER 10 ratios, conversions, and proportions 247 Introduction 247 10-1 Ratios 248 10-2 Conversions 250 10-3 Conversions with more than One Conversion Fraction 255 10-4 Proportions 258 10-5 More Proportions 261 10-6 Applications of Proportions 264 Chapter 10 Review Tests 269 CHAPTER 11 symbols of pharmacology 273 Introduction 273 11-1 Pharmacology Units 274 Chapter 11 Review Tests 277 CHAPTER 12 signed numbers 279 Introduction 279 12-1 Multiplication of Signed Numbers 280 12-2 Division of Signed Numbers 282 12-3 More Information on Multiplication 284 12-4 `Addition of Like Signed Numbers 286 12-5 `Addition of Unlike (Different) Signed Numbers 290 12-6 `Subtraction of Signed Numbers 293 12-7 `Addition and `Subtraction of Signed Numbers Using a Number Line 296 12-8 Operations with Zero 306 12-9 Order of Operations Reviewed 309 12-10 Special Properties (Rules) Reviewed 314 Chapter 12 Review Tests 317 Cumulative Review #4-Chapters 9--12 321 CHAPTER 13 basic equations in one unknown 323 Introduction 323 13-1 Solving Equations Such as 9xE=E54 324 13-2 Solving Equations Such as 5xE+E3E=E16 328 13-3 Solving Equations Such as 3xE+E10E=E5x 332 13-4 Solving Equations Such as 5xE--E3E=E2xE+E12 335 13-5 Solving Equations Such as 5aEETHE3aE+E3E=E6aE--E4E+E9 339 13-6 Solving Equations Such as }43x}E=E}56}E--E2x 342 13-7 Solving Equations Such as 6(2xE+E4)E=E8(xE--E5) 346 13-8 Review of Sections 13-1 through 13-7 350 13-9 Solving Equations Such as mE--E}mE5--E2}E=E}29}E and .6xE--E6.32E=E.04xE+E.4 352 Chapter 13 Review Tests 355 CHAPTER 14 literal equations 359 Introduction 359 14-1 Solving Literal Equations 360 Chapter 14 Review Tests 367 Cumulative Review #5-Chapters 9--14 371 CHAPTER 15 polynomials addition, subtraction, and grouping symbols 375 Introduction 375 15-1 Monomials, Polynomials, and Like Terms 376 15-2 Combining Like Terms 379 15-3 Addition of Polynomials 381 15-4 Subtraction of Polynomials 383 15-5 Grouping Symbols 385 Chapter 15 Review Tests 389 CHAPTER 16 polynomials multiplication, division, and exponents 393 Introduction 393 16-1 Exponents 394 16-2 Multiplication of Polynomials 397 16-3 Monomial Times Polynomial 400 16-4 Polynomial Times Polynomial 402 16-5 Division of Polynomials 406 16-6 Monomial Divided by Monomial 408 16-7 Polynomial Divided by Monomial 412 16-8 Polynomial Divided by Polynomial 414 Chapter 16 Review Tests 421 CHAPTER 17 graphing 425 Introduction 425 17-1 Introduction to Graphing 426 17-2 Graphing Basic Equations-Lines and Parabolas 436 Chapter 17 Review Tests 443 CHAPTER 18 scientific notation 447 Introduction 447 18-1 Exponents 448 18-2 Multiplication Using Exponents 449 18-3 Division Using Exponents 450 18-4 Division (Continued) 452 18-5 Significant Figures 454 18-6 Rounding (A Number) 457 18-7 Products, Quotients, and Rounding Based upon Significant Figures 459 18-8 Scientific Notation (S.N.) 461 18-9 Multiplication in Scientific Notation (S.N.) 463 18-10 Division in Scientific Notation 465 18-11 Multiplication and Division of Numbers Not in Scientific Notation 468 Chapter 18 Review Tests 471 CHAPTER 19 square roots 475 Introduction 475 19-1 What is a Square Root? 476 19-2 Key on Calculator 477 19-3 Simplifying Square Roots 478 19-4 Simplifying Higher Roots 483 Chapter 19 Review Tests 488 Algebraic Review 491 Cumulative Review #6-Chapters 9--14, 18, 19 507 APPENDIX A Answers to exercises and review tests 511 APPENDIX B solutions to asterisk problems 591


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Product Details
  • ISBN-13: 9780757540066
  • Publisher: Kendall/Hunt Publishing Co ,U.S.
  • Publisher Imprint: Kendall/Hunt Publishing Co ,U.S.
  • Language: English
  • ISBN-10: 0757540066
  • Publisher Date: 11 Jan 2007
  • Binding: Spiral bound


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