Basic Math & Pre-Algebra All-In-One for Dummies (+ Chapter Quizzes Online) - Mark Zegarelli

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Résumé :

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

Unit 1: Getting Started with Basic Math & Pre-algebra 5

Chapter 1: Playing the Numbers Game 7

Inventing Numbers 8

Understanding Number Sequences 8

Evening the odds 8

Counting by threes, fours, fives, and so on 9

Getting square with square numbers 9

Composing yourself with composite numbers 10

Stepping out of the box with prime numbers 11

Multiplying quickly with exponents 12

Four Important Sets of Numbers 13

Counting on the counting numbers 13

Introducing integers 13

Staying rational 14

Getting real 14

Chapter 2: The Big Four Operations 15

The Big Four Operations 15

Adding things up: Addition 16

Take it away: Subtraction 16

A sign of the times: Multiplication 17

Doing math lickety-split: Division 18

Applying the Big Four Operations to Larger Numbers 18

Calculating stacked addition 18

Performing stacked subtraction 19

Calculating with stacked multiplication 21

Understanding long division 22

Unit 2: the Big Four Operations: Addition, Subtraction, Multiplication, and Division 25

Chapter 3: Counting on Success: Numbers and Digits 27

Knowing Your Place Value 28

Counting to ten and beyond 28

Telling placeholders from leading zeros 29

Reading long numbers 30

Close Enough for Rock 'n' Roll: Rounding and Estimating 30

Rounding numbers 30

Estimating value to make problems easier 32

Practice Questions Answers and Explanations 34

Whaddya Know? Chapter 3 Quiz 35

Answers to Chapter 3 Quiz 36

Chapter 4: Staying Positive with Negative Numbers 37

Understanding Where Negative Numbers Come From 38

Sign-Switching: Understanding Negation and Absolute Value 39

Addition and Subtraction with Negative Numbers 41

Starting with a negative number 41

Adding a negative number 41

Subtracting a negative number 42

Knowing Signs of the Times (and Division) for Negative Numbers 44

Practice Questions Answers and Explanations 47

Whaddya Know? Chapter 4 Quiz 51

Answers to Chapter 4 Quiz 52

Chapter 5: Putting the Big Four Operations to Work 55

Switching Things Up with Inverse Operations and the Commutative Property 56

Getting with the In-Group: Parentheses and the Associative Property 59

Distribution to lighten the load 61

Understanding Inequalities 63

Doesn't equal (?) 63

Less than (<) and greater than (>) 63

Less than or equal to (?) and greater than or equal to (?) 64

Approximately equals (?) 64

Moving Beyond the Big Four: Exponents and Square Roots 65

Understanding exponents 66

Discovering your roots 67

Practice Questions Answers and Explanations 69

Whaddya Know? Chapter 5 Quiz 72

Answers to Chapter 5 Quiz 73

Unit 3: Getting a Handle on Whole Numbers 75

Chapter 6: Please Excuse My Dear Aunt Sally: Evaluating Arithmetic Expressions with PEMDAS 77

The Three E's of Math: Equations, Expressions, and Evaluation 78

Seeking equality for all: Equations 78

Hey, it's just an expression 78

Evaluating the situation 79

Putting the Three E's together 79

Introducing Order of Operations (PEMDAS) 80

Expressions with only addition and subtraction 81

Expressions with only multiplication and division 81

Mixed-operator expressions 82

Han...

Biographie:
Mark Zegarelli earned degrees in mathematics and English from Rutgers University. He is the founder of SimpleStep Learning, an online educational platform that teaches courses in basic concepts in ten minutes or less, keeping students engaged and learning in every moment. Mark is also author of several other successful For Dummies books.

Sommaire:

Mark Zegarelli earned degrees in mathematics and English from Rutgers University. He is the founder of SimpleStep Learning, an online educational platform that teaches courses in basic concepts in ten minutes or less, keeping students engaged and learning in every moment. Mark is also author of several other successful For Dummies books.