Читать книгу Basic Math & Pre-Algebra All-in-One For Dummies (+ Chapter Quizzes Online) - Mark Zegarelli - Страница 3

1  Cover

2  Title Page

3  Copyright

4  Introduction About This Book Foolish Assumptions Icons Used in This Book Beyond the Book Where to Go from Here

5  Unit 1: Getting Started with Basic Math & Pre-Algebra Chapter 1: Playing the Numbers Game Inventing Numbers Understanding Number Sequences Four Important Sets of Numbers Chapter 2: The Big Four Operations The Big Four Operations Applying the Big Four Operations to Larger Numbers

6  Unit 2: The Big Four Operations: Addition, Subtraction, Multiplication, and Division Chapter 3: Counting on Success: Numbers and Digits Knowing Your Place Value Close Enough for Rock ‘n’ Roll: Rounding and Estimating Practice Questions Answers and Explanations Whaddya Know? Chapter 3 Quiz Answers to Chapter 3 Quiz Chapter 4: Staying Positive with Negative Numbers Understanding Where Negative Numbers Come From Sign-Switching: Understanding Negation and Absolute Value Addition and Subtraction with Negative Numbers Knowing Signs of the Times (and Division) for Negative Numbers Practice Questions Answers and Explanations Whaddya Know? Chapter 4 Quiz Answers to Chapter 4 Quiz Chapter 5: Putting the Big Four Operations to Work Switching Things Up with Inverse Operations and the Commutative Property Getting with the In-Group: Parentheses and the Associative Property Understanding Inequalities Moving Beyond the Big Four: Exponents and Square Roots Practice Questions Answers and Explanations Whaddya Know? Chapter 5 Quiz Answers to Chapter 5 Quiz

7  Unit 3: Getting a Handle on Whole Numbers Chapter 6: Please Excuse My Dear Aunt Sally: Evaluating Arithmetic Expressions with PEMDAS The Three E’s of Math: Equations, Expressions, and Evaluation Introducing Order of Operations (PEMDAS) Handling Powers Responsibly Bringing It All Together: The Order of Operations Practice Questions Answers and Explanations Whaddya Know? Chapter 6 Quiz Answers to Chapter 6 Quiz Chapter 7: Turning Words into Numbers: Basic Math Word Problems Dispelling Two Myths about Word Problems Solving Basic Word Problems Solving More-Complex Word Problems Practice Questions Answers and Explanations Whaddya Know? Chapter 7 Quiz Answers to Chapter 7 Quiz Chapter 8: Divisibility and Prime Numbers Knowing the Divisibility Tricks Identifying Prime and Composite Numbers Practice Questions Answers and Explanations Whaddya Know? Chapter 8 Quiz Answers to Chapter 8 Quiz Chapter 9: Divided Attention: Factors and Multiples Knowing Six Ways to Say the Same Thing Understanding Factors and Multiples Finding Fabulous Factors 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 Practice Questions Answers and Explanations Whaddya Know? Chapter 9 Quiz Answers to Chapter 9 Quiz

8  Unit 4: Fractions Chapter 10: Understanding Fractions Slicing a Cake into Fractions Knowing the Fraction Facts of Life Increasing and Reducing Terms of Fractions Converting between Improper Fractions and Mixed Numbers Comparing Fractions with Cross-Multiplication Working with Ratios and Proportions Practice Questions Answers and Explanations Whaddya Know? Chapter 10 Quiz Answers to Chapter 10 Quiz Chapter 11: Fractions and the Big Four Operations Multiplying and Dividing Fractions Adding and Subtracting Fractions with the Same Denominator Adding and Subtracting Fractions with Different Denominators Practice Questions Answers and Explanations Whaddya Know? Chapter 11 Quiz Answers to Chapter 11 Quiz Chapter 12: Mixing Things Up with Mixed Numbers Multiplying and Dividing Mixed Numbers Adding Mixed Numbers Subtracting Mixed Numbers Practice Questions Answers and Explanations Whaddya Know? Chapter 12 Quiz Answers to Chapter 12 Quiz

9  Unit 5: Decimals and Percents Chapter 13: Getting to the Point with Decimals Understanding Basic Decimal Stuff Performing the Big Four Operations with Decimals Converting between Decimals and Fractions Simple Decimal-Fraction Conversions Practice Questions Answers and Explanations Whaddya Know? Chapter 13 Quiz Answers to Chapter 13 Quiz Chapter 14: Playing the Percentages Making Sense of Percentages Dealing with Percentages Greater than 100% Converting to and from Percentages, Decimals, and Fractions Converting Percentages to Decimals Changing Decimals to Percentages Switching from Percentages to Fractions Converting Fractions to Percentages Solving Percentage Problems Putting All the Percent Problems Together Solving Percent Problems with Equations Practice Questions Answers and Explanations Whaddya Know? Chapter 14 Quiz Answers to Chapter 14 Quiz Chapter 15: Word Problems with Fractions, Decimals, and Percentages Adding and Subtracting Parts of the Whole in Word Problems Problems about Multiplying Fractions Multiplying Decimals and Percentages in Word Problems Handling Percent Increases and Decreases in Word Problems Practice Questions Answers and Explanations Whaddya Know? Chapter 15 Quiz Answers to Chapter 15 Quiz

10  Unit 6: Reaching the Summit: Advanced Pre-Algebra Topics Chapter 16: Powers and Roots Memorizing Powers and Roots Changing the Base Exponents of 0 and Negative Numbers Fractional Exponents Practice Questions Answers and Explanations Whaddya Know? Chapter 16 Quiz Answers to Chapter 16 Quiz Chapter 17: A Perfect Ten: Condensing Numbers with Scientific Notation First Things First: Using Powers of Ten as Exponents Exponential Arithmetic: Multiplying and Dividing Powers of Ten Working with Scientific Notation Dividing with Scientific Notation Practice Questions Answers and Explanations Whaddya Know? Chapter 17 Quiz Answers to Chapter 17 Quiz Chapter 18: How Much Have You Got? Weights and Measures Understanding Units Examining Differences between the English and Metric Systems Estimating and Converting between the English and Metric Systems Converting between English and Metric Units Practice Questions Answers and Explanations Whaddya Know? Chapter 18 Quiz Answers to Chapter 18 Quiz Chapter 19: Getting the Picture with Geometry Getting on the Plane: Points, Lines, Angles, and Shapes Getting in Shape: Polygon (and Non-Polygon) Basics Closed Encounters: Shaping Up Your Understanding of 2-D Shapes Squaring Off with Quadrilaterals Making a Triple Play with Triangles Getting Around with Circle Measurements Taking a Trip to Another Dimension: Solid Geometry Building Solid Measurement Skills Solving Geometry Word Problems Practice Questions Answers and Explanations Whaddya Know? Chapter 19 Quiz Answers to Chapter 19 Quiz Chapter 20: Figuring Your Chances: Statistics and Probability Gathering Data Mathematically: Basic Statistics Looking at Likelihoods: Basic Probability Practice Questions Answers and Explanations Whaddya Know? Chapter 20 Quiz Answers to Chapter 20 Quiz Chapter 21: Setting Things Up with Basic Set Theory Understanding Sets Performing Operations on Sets Practice Questions Answers and Explanations Whaddya Know? Chapter 21 Quiz Answers to Chapter 21 Quiz

11  Unit 7: The X-Files: Introduction to Algebra Chapter 22: Working with Algebraic Expressions Seeing How X Marks the Spot Expressing Yourself with Algebraic Expressions Evaluating Algebraic Expressions Knowing the Terms Adding and Subtracting Like Terms Multiplying and Dividing Terms Simplifying Expressions by Combining Like Terms Removing Parentheses from an Algebraic Expression FOILing: Dealing with Two Sets of Parentheses Practice Questions Answers and Explanations Whaddya Know? Chapter 22 Quiz Answers to Chapter 22 Quiz Chapter 23: Solving Algebraic Equations Understanding Algebraic Equations The Balancing Act: Solving for x Rearranging Equations and Isolating x Practice Questions Answers and Explanations Whaddya Know? Chapter 23 Quiz Answers to Chapter 23 Quiz Chapter 24: Tackling Algebra Word Problems Solving Algebra Word Problems in Five Steps Choosing Your Variable Wisely Solving More-Complex Algebraic Problems Practice Questions Answers and Explanations Whaddya Know? Chapter 24 Quiz Answers to Chapter 24 Quiz Chapter 25: Graphing Algebraic Equations Graphing on the xy-Plane Understanding Linear Equations Measuring the Slope of a Line Graphing Linear Equations Using the Slope and y-intercept Practice Questions Answers and Explanations Whaddya Know? Chapter 25 Quiz Answers to Chapter 25 Quiz

12  Index

13  About the Author

14  Advertisement Page

15  Connect with Dummies

16  End User License Agreement