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• Cover
• Introduction
• About This Book
• Foolish Assumptions
• Icons Used in This Book
• Beyond the Book
• Where to Go from Here
• Part 1: Getting Started with Basic Math and Pre-Algebra
• Chapter 1: We’ve Got Your Numbers
• Getting in Place with Numbers and Digits
• Rollover: Rounding Numbers Up and Down
• Using the Number Line with the Big Four
• The Column Lineup: Adding and Subtracting
• Multiplying Multiple Digits
• Cycling through Long Division
• Solutions to We’ve Got Your Numbers
• Chapter 2: Smooth Operators: Working with the Big Four Operations
• Switching Things Up with Inverse Operations and the Commutative Property
• Getting with the In-Group: Parentheses and the Associative Property
• Becoming Unbalanced: Inequalities
• Special Times: Powers and Square Roots
• Answers to Problems in Smooth Operators
• Chapter 3: Getting Down with Negative Numbers
• Understanding Where Negative Numbers Come From
• Sign-Switching: Understanding Negation and Absolute Value
• Adding with Negative Numbers
• Subtracting with Negative Numbers
• Knowing Signs of the Times (And Division) for Negative Numbers
• Answers to Problems in Getting Down with Negative Numbers
• Chapter 4: It’s Just an Expression
• Evaluating Expressions with Addition and Subtraction
• Evaluating Expressions with Multiplication and Division
• Making Sense of Mixed-Operator Expressions
• Handling Powers Responsibly
• Prioritizing Parentheses
• Pulling Apart Parentheses and Powers
• Figuring Out Nested Parentheses
• Bringing It All Together: The Order of Operations
• Solutions to It’s Just an Expression
• Chapter 5: Dividing Attention: Divisibility, Factors, and Multiples
• Checking for Leftovers: Divisibility Tests
• Understanding Factors and Multiples
• One Number, Indivisible: Identifying Prime (And Composite) Numbers
• Generating a Number’s Factors
• Decomposing a Number into Its Prime Factors
• Finding the Greatest Common Factor
• Generating the Multiples of a Number
• Finding the Least Common Multiple
• Solutions to Divisibility, Factors, and Multiples
• Part 2: Slicing Things Up: Fractions, Decimals, and Percents
• Chapter 6: Fractions Are a Piece of Cake
• Getting Down the Basic Fraction Stuff
• In Mixed Company: Converting between Mixed Numbers and Improper Fractions
• Increasing and Reducing the Terms of Fractions
• Comparing Fractions with Cross-Multiplication
• Working with Ratios and Proportions
• Solutions to Fractions Are a Piece of Cake
• Chapter 7: Fractions and the Big Four
• Multiplying Fractions: A Straight Shot
• Flipping for Fraction Division
• Reaching the Common Denominator: Adding Fractions
• The Other Common Denominator: Subtracting Fractions
• Multiplying and Dividing Mixed Numbers
• Carried Away: Adding Mixed Numbers
• Borrowing from the Whole: Subtracting Mixed Numbers
• Solutions to Fractions and the Big Four
• Chapter 8: Getting to the Point with Decimals
• Getting in Place: Basic Decimal Stuff
• Simple Decimal-Fraction Conversions
• New Lineup: Adding and Subtracting Decimals
• Counting Decimal Places: Multiplying Decimals
• Points on the Move: Dividing Decimals
• Decimals to Fractions
• Fractions to Decimals
• Solutions to Getting to the Point with Decimals
• Chapter 9: Playing the Percentages
• Converting Percents to Decimals
• Changing Decimals to Percents
• Switching from Percents to Fractions
• Converting Fractions to Percents
• Solving a Variety of Percent Problems Using Word Equations
• Solutions to Playing the Percentages
• Part 3: A Giant Step Forward: Intermediate Topics
• Chapter 10: Seeking a Higher Power through Scientific Notation
• On the Count of Zero: Understanding Powers of Ten
• Exponential Arithmetic: Multiplying and Dividing Powers of Ten
• Representing Numbers in Scientific Notation
• Multiplying and Dividing with Scientific Notation
• Answers to Problems in Seeking a Higher Power through Scientific Notation
• Chapter 11: Weighty Questions on Weights and Measures
• The Basics of the English System
• Going International with the Metric System
• Converting Between English and Metric Units
• Answers to Problems in Weighty Questions on Weights and Measures
• Chapter 12: Shaping Up with Geometry
• Getting in Shape: Polygon (And Non-Polygon) Basics
• Squaring Off with Quadrilaterals
• Making a Triple Play with Triangles
• Getting Around with Circle Measurements
• Building Solid Measurement Skills
• Answers to Problems in Shaping Up with Geometry
• Chapter 13: Getting Graphic: Xy-Graphs
• Getting the Point of the Xy-Graph
• Drawing the Line on the Xy-Graph
• Answers to Problems in Getting Graphic: Xy-Graphs
• Part 4: The X Factor: Introducing Algebra
• Chapter 14: Expressing Yourself with Algebraic Expressions
• Plug It In: Evaluating Algebraic Expressions
• Knowing the Terms of Separation
• Adding and Subtracting Like Terms
• Multiplying and Dividing Terms
• Simplifying Expressions by Combining Like Terms
• Simplifying Expressions with Parentheses
• FOILing: Dealing with Two Sets of Parentheses
• Answers to Problems in Expressing Yourself with Algebraic Expressions
• Chapter 15: Finding the Right Balance: Solving Algebraic Equations
• Solving Simple Algebraic Equations
• Equality for All: Using the Balance Scale to Isolate x
• Switching Sides: Rearranging Equations to Isolate x
• Barring Fractions: Cross-Multiplying to Simplify Equations
• Answers to Problems in Finding the Right Balance: Solving Algebraic Equations
• Part 5: The Part of Tens
• Chapter 16: Ten Alternative Numeral and Number Systems
• Tally Marks
• Bundled Tally Marks
• Egyptian Numerals
• Babylonian Numerals
• Ancient Greek Numerals
• Roman Numerals
• Mayan Numerals
• Base-2 (Binary) Numbers
• Base-16 (Hexadecimal) Numbers
• Prime-Based Numbers
• Chapter 17: Ten Curious Types of Numbers
• Square Numbers
• Triangular Numbers
• Cubic Numbers
• Factorial Numbers
• Powers of Two
• Perfect Numbers
• Amicable Numbers
• Prime Numbers
• Mersenne Primes
• Fermat Primes
• About the Author
• Connect with Dummies
• End User License Agreement