Basic Math and Pre-Algebra Workbook For Dummies

1 - Title Page [Seite 3]
2 - Copyright Page [Seite 4]
3 - Table of Contents [Seite 7]
4 - Introduction [Seite 11]
4.1 - About This Book [Seite 11]
4.2 - Foolish Assumptions [Seite 12]
4.3 - Icons Used in This Book [Seite 12]
4.4 - Beyond the Book [Seite 13]
4.5 - Where to Go from Here [Seite 13]
5 - Part 1 Getting Started with Basic Math and Pre-Algebra [Seite 15]
5.1 - Chapter 1 We've Got Your Numbers [Seite 17]
5.1.1 - Getting in Place with Numbers and Digits [Seite 18]
5.1.2 - Rollover: Rounding Numbers Up and Down [Seite 20]
5.1.3 - Using the Number Line with the Big Four [Seite 22]
5.1.4 - The Column Lineup: Adding and Subtracting [Seite 24]
5.1.5 - Multiplying Multiple Digits [Seite 25]
5.1.6 - Cycling through Long Division [Seite 26]
5.1.7 - Solutions to We've Got Your Numbers [Seite 29]
5.2 - Chapter 2 Smooth Operators: Working with the Big Four Operations [Seite 33]
5.2.1 - Switching Things Up with Inverse Operations and the Commutative Property [Seite 34]
5.2.2 - Getting with the In-Group: Parentheses and the Associative Property [Seite 37]
5.2.3 - Becoming Unbalanced: Inequalities [Seite 39]
5.2.4 - Special Times: Powers and Square Roots [Seite 41]
5.2.5 - Answers to Problems in Smooth Operators [Seite 44]
5.3 - Chapter 3 Getting Down with Negative Numbers [Seite 47]
5.3.1 - Understanding Where Negative Numbers Come From [Seite 47]
5.3.2 - Sign-Switching: Understanding Negation and Absolute Value [Seite 49]
5.3.3 - Adding with Negative Numbers [Seite 50]
5.3.4 - Subtracting with Negative Numbers [Seite 52]
5.3.5 - Knowing Signs of the Times (And Division) for Negative Numbers [Seite 53]
5.3.6 - Answers to Problems in Getting Down with Negative Numbers [Seite 55]
5.4 - Chapter 4 It's Just an Expression [Seite 59]
5.4.1 - Evaluating Expressions with Addition and Subtraction [Seite 60]
5.4.2 - Evaluating Expressions with Multiplication and Division [Seite 61]
5.4.3 - Making Sense of Mixed-Operator Expressions [Seite 62]
5.4.4 - Handling Powers Responsibly [Seite 63]
5.4.5 - Prioritizing Parentheses [Seite 65]
5.4.6 - Pulling Apart Parentheses and Powers [Seite 66]
5.4.7 - Figuring Out Nested Parentheses [Seite 68]
5.4.8 - Bringing It All Together: The Order of Operations [Seite 69]
5.4.9 - Solutions to It's Just an Expression [Seite 71]
5.5 - Chapter 5 Dividing Attention: Divisibility, Factors, and Multiples [Seite 79]
5.5.1 - Checking for Leftovers: Divisibility Tests [Seite 80]
5.5.2 - Understanding Factors and Multiples [Seite 82]
5.5.3 - One Number, Indivisible: Identifying Prime (And Composite) Numbers [Seite 83]
5.5.4 - Generating a Number's Factors [Seite 85]
5.5.5 - Decomposing a Number into Its Prime Factors [Seite 87]
5.5.6 - Finding the Greatest Common Factor [Seite 88]
5.5.7 - Generating the Multiples of a Number [Seite 90]
5.5.8 - Finding the Least Common Multiple [Seite 91]
5.5.9 - Solutions to Divisibility, Factors, and Multiples [Seite 93]
6 - Part 2 Slicing Things Up: Fractions, Decimals, and Percents [Seite 99]
6.1 - Chapter 6 Fractions Are a Piece of Cake [Seite 101]
6.1.1 - Getting Down the Basic Fraction Stuff [Seite 101]
6.1.2 - In Mixed Company: Converting between Mixed Numbers and Improper Fractions [Seite 104]
6.1.3 - Increasing and Reducing the Terms of Fractions [Seite 106]
6.1.4 - Comparing Fractions with Cross-Multiplication [Seite 109]
6.1.5 - Working with Ratios and Proportions [Seite 111]
6.1.6 - Solutions to Fractions Are a Piece of Cake [Seite 113]
6.2 - Chapter 7 Fractions and the Big Four [Seite 119]
6.2.1 - Multiplying Fractions: A Straight Shot [Seite 119]
6.2.2 - Flipping for Fraction Division [Seite 121]
6.2.3 - Reaching the Common Denominator: Adding Fractions [Seite 123]
6.2.4 - The Other Common Denominator: Subtracting Fractions [Seite 126]
6.2.5 - Multiplying and Dividing Mixed Numbers [Seite 128]
6.2.6 - Carried Away: Adding Mixed Numbers [Seite 130]
6.2.7 - Borrowing from the Whole: Subtracting Mixed Numbers [Seite 133]
6.2.8 - Solutions to Fractions and the Big Four [Seite 136]
6.3 - Chapter 8 Getting to the Point with Decimals [Seite 153]
6.3.1 - Getting in Place: Basic Decimal Stuff [Seite 153]
6.3.2 - Simple Decimal-Fraction Conversions [Seite 156]
6.3.3 - New Lineup: Adding and Subtracting Decimals [Seite 158]
6.3.4 - Counting Decimal Places: Multiplying Decimals [Seite 160]
6.3.5 - Points on the Move: Dividing Decimals [Seite 161]
6.3.6 - Decimals to Fractions [Seite 163]
6.3.7 - Fractions to Decimals [Seite 165]
6.3.8 - Solutions to Getting to the Point with Decimals [Seite 167]
6.4 - Chapter 9 Playing the Percentages [Seite 175]
6.4.1 - Converting Percents to Decimals [Seite 175]
6.4.2 - Changing Decimals to Percents [Seite 177]
6.4.3 - Switching from Percents to Fractions [Seite 178]
6.4.4 - Converting Fractions to Percents [Seite 179]
6.4.5 - Solving a Variety of Percent Problems Using Word Equations [Seite 181]
6.4.6 - Solutions to Playing the Percentages [Seite 183]
7 - Part 3 A Giant Step Forward: Intermediate Topics [Seite 187]
7.1 - Chapter 10 Seeking a Higher Power through Scientific Notation [Seite 189]
7.1.1 - On the Count of Zero: Understanding Powers of Ten [Seite 190]
7.1.2 - Exponential Arithmetic: Multiplying and Dividing Powers of Ten [Seite 192]
7.1.3 - Representing Numbers in Scientific Notation [Seite 193]
7.1.4 - Multiplying and Dividing with Scientific Notation [Seite 194]
7.1.5 - Answers to Problems in Seeking a Higher Power through Scientific Notation [Seite 196]
7.2 - Chapter 11 Weighty Questions on Weights and Measures [Seite 199]
7.2.1 - The Basics of the English System [Seite 200]
7.2.2 - Going International with the Metric System [Seite 202]
7.2.3 - Converting Between English and Metric Units [Seite 204]
7.2.4 - Answers to Problems in Weighty Questions on Weights and Measures [Seite 208]
7.3 - Chapter 12 Shaping Up with Geometry [Seite 213]
7.3.1 - Getting in Shape: Polygon (And Non-Polygon) Basics [Seite 214]
7.3.2 - Squaring Off with Quadrilaterals [Seite 214]
7.3.3 - Making a Triple Play with Triangles [Seite 218]
7.3.4 - Getting Around with Circle Measurements [Seite 222]
7.3.5 - Building Solid Measurement Skills [Seite 224]
7.3.6 - Answers to Problems in Shaping Up with Geometry [Seite 228]
7.4 - Chapter 13 Getting Graphic: Xy-Graphs [Seite 233]
7.4.1 - Getting the Point of the Xy-Graph [Seite 233]
7.4.2 - Drawing the Line on the Xy-Graph [Seite 237]
7.4.3 - Answers to Problems in Getting Graphic: Xy-Graphs [Seite 240]
8 - Part 4 The X Factor: Introducing Algebra [Seite 245]
8.1 - Chapter 14 Expressing Yourself with Algebraic Expressions [Seite 247]
8.1.1 - Plug It In: Evaluating Algebraic Expressions [Seite 248]
8.1.2 - Knowing the Terms of Separation [Seite 250]
8.1.3 - Adding and Subtracting Like Terms [Seite 252]
8.1.4 - Multiplying and Dividing Terms [Seite 253]
8.1.5 - Simplifying Expressions by Combining Like Terms [Seite 255]
8.1.6 - Simplifying Expressions with Parentheses [Seite 257]
8.1.7 - FOILing: Dealing with Two Sets of Parentheses [Seite 259]
8.1.8 - Answers to Problems in Expressing Yourself with Algebraic Expressions [Seite 261]
8.2 - Chapter 15 Finding the Right Balance: Solving Algebraic Equations [Seite 269]
8.2.1 - Solving Simple Algebraic Equations [Seite 269]
8.2.2 - Equality for All: Using the Balance Scale to Isolate x [Seite 272]
8.2.3 - Switching Sides: Rearranging Equations to Isolate x [Seite 274]
8.2.4 - Barring Fractions: Cross-Multiplying to Simplify Equations [Seite 276]
8.2.5 - Answers to Problems in Finding the Right Balance: Solving Algebraic Equations [Seite 278]
9 - Part 5 The Part of Tens [Seite 287]
9.1 - Chapter 16 Ten Alternative Numeral and Number Systems [Seite 289]
9.1.1 - Tally Marks [Seite 289]
9.1.2 - Bundled Tally Marks [Seite 290]
9.1.3 - Egyptian Numerals [Seite 290]
9.1.4 - Babylonian Numerals [Seite 291]
9.1.5 - Ancient Greek Numerals [Seite 291]
9.1.6 - Roman Numerals [Seite 292]
9.1.7 - Mayan Numerals [Seite 292]
9.1.8 - Base-2 (Binary) Numbers [Seite 293]
9.1.9 - Base-16 (Hexadecimal) Numbers [Seite 294]
9.1.10 - Prime-Based Numbers [Seite 295]
9.2 - Chapter 17 Ten Curious Types of Numbers [Seite 297]
9.2.1 - Square Numbers [Seite 297]
9.2.2 - Triangular Numbers [Seite 298]
9.2.3 - Cubic Numbers [Seite 299]
9.2.4 - Factorial Numbers [Seite 299]
9.2.5 - Powers of Two [Seite 300]
9.2.6 - Perfect Numbers [Seite 300]
9.2.7 - Amicable Numbers [Seite 301]
9.2.8 - Prime Numbers [Seite 301]
9.2.9 - Mersenne Primes [Seite 301]
9.2.10 - Fermat Primes [Seite 302]
10 - Index [Seite 303]
11 - EULA [Seite 315]