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Master the fundamentals first for a smoother ride through math
Basic Math & Pre-Algebra Workbook For Dummies is your ticket to finally getting a handle on math! Designed to help you strengthen your weak spots and pinpoint problem areas, this book provides hundreds of practice problems to help you get over the hump. Each section includes a brief review of key concepts and full explanations for every practice problem, so you'll always know exactly where you went wrong. The companion website gives you access to quizzes for each chapter, so you can test your understanding and identify your sticking points before moving on to the next topic. You'll brush up on the rules of basic operations, and then learn what to do when the numbers just won't behave--negative numbers, inequalities, algebraic expressions, scientific notation, and other tricky situations will become second nature as you refresh what you know and learn what you missed.
Each math class you take builds on the ones that came before; if you got lost somewhere around fractions, you'll have a difficult time keeping up in Algebra, Geometry, Trigonometry, and Calculus--so don't fall behind! This book provides plenty of practice and patient guidance to help you slay the math monster once and for all.
Make sense of fractions, decimals, and percentages
Learn how to handle inequalities, exponents, square roots, and absolute values
Simplify expressions and solve simple algebraic equations
Find your way around a triangle, circle, trapezoid, and more
Once you get comfortable with the rules and operations, math takes on a whole new dimension. Curiosity replaces anxiety, and problems start feeling like puzzles rather than hurdles. All it takes is practice. Basic Math & Pre-Algebra Workbook For Dummies is your ultimate math coach, with hundreds of guided practice practice problems to help you break through the math barrier.
Autorentext
Mark Zegarelli is a math and test prep teacher who has written a wide variety of basic math and pre-algebra books in the For Dummies series.
Zusammenfassung
Master the fundamentals first for a smoother ride through math Basic Math & Pre-Algebra Workbook For Dummies is your ticket to finally getting a handle on math! Designed to help you strengthen your weak spots and pinpoint problem areas, this book provides hundreds of practice problems to help you get over the hump. Each section includes a brief review of key concepts and full explanations for every practice problem, so you'll always know exactly where you went wrong. The companion website gives you access to quizzes for each chapter, so you can test your understanding and identify your sticking points before moving on to the next topic. You'll brush up on the rules of basic operations, and then learn what to do when the numbers just won't behavenegative numbers, inequalities, algebraic expressions, scientific notation, and other tricky situations will become second nature as you refresh what you know and learn what you missed. Each math class you take builds on the ones that came before; if you got lost somewhere around fractions, you'll have a difficult time keeping up in Algebra, Geometry, Trigonometry, and Calculusso don't fall behind! This book provides plenty of practice and patient guidance to help you slay the math monster once and for all.
Inhalt
Introduction 1
About This Book 1
Foolish Assumptions 2
Icons Used in This Book 2
Beyond the Book 3
Where to Go from Here 3
Part 1: Getting Started with Basic Math and Pre-algebra 5
Chapter 1: We've Got Your Numbers 7
Getting in Place with Numbers and Digits 8
Rollover: Rounding Numbers Up and Down 10
Using the Number Line with the Big Four 12
The Column Lineup: Adding and Subtracting 14
Multiplying Multiple Digits 15
Cycling through Long Division 16
Solutions to We've Got Your Numbers 19
Chapter 2: Smooth Operators: Working with the Big Four Operations 23
Switching Things Up with Inverse Operations and the Commutative Property 24
Getting with the In-Group: Parentheses and the Associative Property 27
Becoming Unbalanced: Inequalities 29
Special Times: Powers and Square Roots 31
Answers to Problems in Smooth Operators 34
Chapter 3: Getting Down with Negative Numbers 37
Understanding Where Negative Numbers Come From 37
Sign-Switching: Understanding Negation and Absolute Value 39
Adding with Negative Numbers 40
Subtracting with Negative Numbers 42
Knowing Signs of the Times (And Division) for Negative Numbers 43
Answers to Problems in Getting Down with Negative Numbers 45
Chapter 4: It's Just an Expression 49
Evaluating Expressions with Addition and Subtraction 50
Evaluating Expressions with Multiplication and Division 51
Making Sense of Mixed-Operator Expressions 52
Handling Powers Responsibly 53
Prioritizing Parentheses 55
Pulling Apart Parentheses and Powers 56
Figuring Out Nested Parentheses 58
Bringing It All Together: The Order of Operations 59
Solutions to It's Just an Expression 61
Chapter 5: Dividing Attention: Divisibility, Factors, and Multiples 69
Checking for Leftovers: Divisibility Tests 70
Understanding Factors and Multiples 72
One Number, Indivisible: Identifying Prime (And Composite) Numbers 73
Generating a Number's Factors 75
Decomposing a Number into Its Prime Factors 77
Finding the Greatest Common Factor 78
Generating the Multiples of a Number 80
Finding the Least Common Multiple 81
Solutions to Divisibility, Factors, and Multiples 83
Part 2: Slicing Things Up: Fractions, Decimals, and Percents 89
Chapter 6: Fractions Are a Piece of Cake 91
Getting Down the Basic Fraction Stuff 91
In Mixed Company: Converting between Mixed Numbers and Improper Fractions 94
Increasing and Reducing the Terms of Fractions 96
Comparing Fractions with Cross-Multiplication 99
Working with Ratios and Proportions 101
Solutions to Fractions Are a Piece of Cake 103
Chapter 7: Fractions and the Big Four 109
Multiplying Fractions: A Straight Shot 109
Flipping for Fraction Division 111
Reaching the Common Denominator: Adding Fractions 113
The Other Common Denominator: Subtracting Fractions 116
Multiplying and Dividing Mixed Numbers 118
Carried Away: Adding Mixed Numbers 120
Borrowing from the Whole: Subtracting Mixed Numbers 123
Solutions to Fractions and the Big Four 126
Chapter 8: Getting to the Point with Decimals 143
Getting in Place: Basic Decimal Stuff 143
Simple Decimal-Fraction Conversions 146
New Lineup: Adding and Subtracting Decimals 148
Counting Decimal Places: Multiplying Decimals 150
Points on the Move: Dividing Decimals 151
Decimals to Fractions 153
Fractions to Decimals 155
Solutions to Getting to the Point with Decimals 157
Chapter 9: Playing the Percentages 165 Convertin...