Efnisyfirlit

• 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

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