Preface 2 저자 소개 3 이 책의 구성과 특징 4 Topic 1 Arithmetic of Numbers 1.1 Arithmetic-Addition.............................................................10 1.2 Arithmetic-Multiplication......................................................12 1.3 Arithmetic-Negatives.............................................................15 1.4 Arithmetic-Reciprocals..........................................................18 Topic 2 Raising Powers 2.1 Squares...................................................................................28 2.2 Higher Exponents..................................................................31 2.3 Zero Exponent........................................................................35 2.4 Negative Exponents...............................................................36 Topic 3 Integers 3.1 Multiples................................................................................46 3.2 Divisibility Test......................................................................49 3.3 Primes and Composites..........................................................52 3.4 Prime Factorization................................................................58 3.5 Least Common Multiple........................................................61 3.6 Greatest Common Divisor.....................................................62 Topic 4 Fractions 4.1 Fraction..................................................................................68 4.2 Multiplying Fractions............................................................72 4.3 Dividing by Fractions............................................................75 4.4 Raising Powers......................................................................77 4.5 Adding or Subtracting Fractions............................................79 Topic 5 Equations and Inequalities 5.1 Expressions............................................................................90 5.2 Solving Basic Linear Equations.............................................93 5.3 Word Problems.......................................................................98 5.4 Inequalities.............................................................................101 Topic 6 Decimal Expressions 6.1 Decimal Arithmetic................................................................112 6.2 Base-n Expressions................................................................114 6.3 Rounding Integers..................................................................116 6.4 Decimal and Fractions...........................................................118 Topic 7 Ratio and Rates 7.1 Ratio.......................................................................................126 7.2 Multiway Ratios.....................................................................129 7.3 Proportion..............................................................................132 7.4 Conversions...........................................................................133 7.5 Speed......................................................................................135 7.6 Other Rates............................................................................138 Topic 8 Percentages 8.1 Percentages............................................................................148 8.2 Percentage Proportion............................................................149 8.3 Word Problems.......................................................................150 8.4 Percent Increase or Decrease.................................................152 Topic 9 Square Roots 9.1 Squares...................................................................................160 9.2 Square Roots of Non-Square Integers...................................163 9.3 Arithmetic with Square Roots................................................165 Topic 10 Angles 10.1 Basic Vocabs about Lines and Angles...................................176 10.2 Angle Relationships...............................................................179 10.3 Angles and Parallel Lines......................................................182 10.4 Angles in polygon..................................................................185 Topic 11 Perimeter and Area 11.1 Perimeter................................................................................194 11.2 Area........................................................................................197 11.3 Circle......................................................................................201 Topic 12 Right Triangles and Quadrilaterals 12.1 Right Triangles.......................................................................210 12.2 Quadrilaterals.........................................................................214 12.3 Trapezoid...............................................................................216 12.4 Parallelogram.........................................................................218 12.5 Rhombus................................................................................219 12.6 Rectangle...............................................................................221 12.7 Square....................................................................................223 Topic 13 Three-dimensional Figures 13.1 Volumes of Three-Dimensional Figures................................230 13.2 Surface Area of Three Dimensional Solids............................235 Topic 14 Counting and Statistics 14.1 Descriptive Statistics..............................................................246 14.2 1-to-1 Counting......................................................................251 14.3 Multiplication Principle.........................................................252 14.4 Permutation: Counting Successive Events............................257 14.5 Principle of Addition..............................................................259 14.6 Combination: Another Tool for Overcounts..........................261 14.7 Permutation vs. Combination................................................262 Solution Manual 269