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Scared of square roots? Suspicious of powers of ten? You're not alone. Plenty of school-age students and adult learners don't care for math. But, with the right guide, you can make math basics "click" for you too!
In Basic Math & Pre-Algebra All-in-One For Dummies, you'll find everything you need to be successful in your next math class and tackle basic math tasks in the real world. Whether you're trying to get a handle on pre-algebra before moving to the next grade or looking to get more comfortable with everyday math--such as tipping calculations or balancing your checkbook--this book walks you through every step--in plain English, and with clear explanations--to help you build a firm foundation in math.
You'll also get:
* Practice quizzes at the end of each chapter to test your comprehension and understanding
* A bonus online quiz for each chapter, with answer choices presented in multiple choice format
* A ton of explanations, examples, and practice problems that prepare you to tackle more advanced algebraic concepts
From the different categories of numbers to mathematical operations, fractions, percentages, roots and powers, and a short intro to algebraic expressions and equations, Basic Math & Pre-Algebra All-in-One For Dummies is an essential companion for anyone who wants to get a handle on the foundational math concepts that are the building blocks for Algebra and beyond.
Scared of square roots? Suspicious of powers of ten? You're not alone. Plenty of school-age students and adult learners don't care for math. But, with the right guide, you can make math basics "click" for you too!
In Basic Math & Pre-Algebra All-in-One For Dummies, you'll find everything you need to be successful in your next math class and tackle basic math tasks in the real world. Whether you're trying to get a handle on pre-algebra before moving to the next grade or looking to get more comfortable with everyday math--such as tipping calculations or balancing your checkbook--this book walks you through every step--in plain English, and with clear explanations--to help you build a firm foundation in math.
You'll also get:
* Practice quizzes at the end of each chapter to test your comprehension and understanding
* A bonus online quiz for each chapter, with answer choices presented in multiple choice format
* A ton of explanations, examples, and practice problems that prepare you to tackle more advanced algebraic concepts
From the different categories of numbers to mathematical operations, fractions, percentages, roots and powers, and a short intro to algebraic expressions and equations, Basic Math & Pre-Algebra All-in-One For Dummies is an essential companion for anyone who wants to get a handle on the foundational math concepts that are the building blocks for Algebra and beyond.
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.
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
Handling Powers Responsibly 83
Prioritizing parentheses 84
Pulling apart parentheses and powers 85
Figuring out nested parentheses 86
Bringing It All Together: The Order of Operations 87
Practice Questions Answers and Explanations 89
Whaddya Know? Chapter 6 Quiz 98
Answers to Chapter 6 Quiz 99
Chapter 7: Turning Words into Numbers: Basic Math Word Problems 103
Dispelling Two Myths about Word Problems 104
Word problems aren't always hard 104
Word problems are useful 104
Solving Basic Word Problems 105
Turning word problems into word equations 105
Plugging in numbers for words 109
Send in the clowns 109
Our house in the middle of our street 110
I hear the train a-comin' 110
Solving More-Complex Word Problems 113
When numbers get serious 113
Too much information 115
Practice Questions Answers and Explanations 120
Whaddya Know? Chapter 7 Quiz 124
Answers to Chapter 7 Quiz 125
Chapter 8: Divisibility and Prime Numbers 127
Knowing the Divisibility Tricks 128
Counting everyone in: Numbers you can divide everything by 128
In the end: Looking at the final digits 128
Count it up: Checking divisibility by adding and subtracting digits 130
Less is more: Checking divisibility by subtracting 134
Cross-checking: Using multiple tests 135
Identifying Prime and Composite Numbers 136
Practice Questions Answers and Explanations 139
Whaddya Know? Chapter 8 Quiz 142
Answers to Chapter 8 Quiz 143
Chapter 9: Divided Attention: Factors and Multiples 145
Knowing Six Ways to Say the Same Thing 146
Understanding Factors and Multiples 146
Finding Fabulous Factors 148
Deciding when one number is a factor of another 148
Understanding factor pairs 148
Generating a Number's Factors 149
Decomposing a Number into Its Prime Factors 150
Finding the Greatest Common Factor 151
Generating the Multiples of a Number 153
Finding the Least Common Multiple 153
Practice Questions Answers and Explanations 155
Whaddya Know? Chapter 9 Quiz 158
Answers to Chapter 9 Quiz 159
Unit 4: Fractions 161
Chapter 10: Understanding Fractions 163
Slicing a Cake into Fractions 164
Knowing the Fraction Facts of Life 165
Telling the numerator from the denominator 165
Flipping for reciprocals 166
Using ones and zeros 166
Mixing things up 167
Knowing proper from improper 167
Increasing and Reducing Terms of Fractions 169
Increasing the terms of fractions 170
Reducing fractions to lowest terms (simplifying fractions) 171
Converting between Improper Fractions and Mixed Numbers 174
Knowing the parts of a mixed number 174
Converting a mixed number to an improper fraction 175
Converting an improper fraction to a mixed number 176
Comparing Fractions with Cross-Multiplication 178
Working with Ratios and Proportions 180
Practice Questions Answers and Explanations 182
Whaddya Know? Chapter 10 Quiz 188
Answers to Chapter 10 Quiz 189
Chapter 11: Fractions and the Big Four Operations 191
Multiplying and Dividing Fractions 192
Multiplying numerators and denominators straight across 192
Doing a flip to divide fractions 194
Adding and Subtracting Fractions with the Same Denominator 196
Adding and Subtracting Fractions with Different Denominators 198
The easy case: Increasing the terms of one fraction 198
The difficult case: Increasing the terms of both fractions 200
Practice Questions Answers and Explanations 202
Whaddya Know? Chapter 11 Quiz 208
Answers to Chapter 11 Quiz 209
Chapter 12: Mixing Things Up with Mixed Numbers 213
Multiplying and Dividing Mixed Numbers 214
Adding Mixed Numbers 216
Adding mixed numbers that have the same denominator 216
Adding mixed numbers that have different denominators 217
Adding mixed numbers with carrying 217
Subtracting Mixed Numbers 220
Subtracting mixed numbers that have the same denominator 220
Subtracting mixed numbers that have different denominators 221
Subtracting mixed numbers with borrowing 222
Practice Questions Answers and Explanations 225
Whaddya Know? Chapter 12 Quiz 233
Answers to Chapter 12 Quiz 234
Unit 5: Decimals and Percents 241
Chapter 13: Getting to the Point with Decimals 243
Understanding Basic Decimal Stuff 244
Counting dollars and decimals 244
Identifying the place value of decimals 246
Knowing the decimal facts of life 247
Performing the Big Four Operations with Decimals 252
Adding decimals 253
Subtracting decimals 254
Multiplying decimals 256
Dividing decimals 257
Converting between Decimals and Fractions 262
Simple Decimal-Fraction Conversions 262
Changing decimals to fractions 264
Changing fractions to decimals 267
Practice Questions Answers and Explanations 271
Whaddya Know? Chapter 13 Quiz 279
Answers to Chapter 13 Quiz 280
Chapter 14: Playing the Percentages 285
Making Sense of Percentages 285
Dealing with Percentages Greater than 100% 286
Converting to and from Percentages, Decimals, and Fractions 287
Converting Percentages to Decimals 287
Changing Decimals to Percentages 288
Switching from Percentages to Fractions 288
Converting Fractions to Percentages 289
Solving Percentage Problems 290
Figuring out simple percent problems 291
Turning the problem around 292
Deciphering more-difficult percent problems 293
Putting All the Percent Problems Together 294
Identifying the three types of percent problems 294
Solving Percent Problems with Equations 295
...| Erscheinungsjahr: | 2022 |
|---|---|
| Fachbereich: | Grundlagen |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: | 624 S. |
| ISBN-13: | 9781119867081 |
| ISBN-10: | 1119867088 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Zegarelli, Mark |
| Hersteller: | John Wiley & Sons Inc |
| Verantwortliche Person für die EU: | Wiley-VCH GmbH, Boschstr. 12, D-69469 Weinheim, amartine@wiley-vch.de |
| Maße: | 250 x 201 x 37 mm |
| Von/Mit: | Mark Zegarelli |
| Erscheinungsdatum: | 30.06.2022 |
| Gewicht: | 0,98 kg |
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.
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
Handling Powers Responsibly 83
Prioritizing parentheses 84
Pulling apart parentheses and powers 85
Figuring out nested parentheses 86
Bringing It All Together: The Order of Operations 87
Practice Questions Answers and Explanations 89
Whaddya Know? Chapter 6 Quiz 98
Answers to Chapter 6 Quiz 99
Chapter 7: Turning Words into Numbers: Basic Math Word Problems 103
Dispelling Two Myths about Word Problems 104
Word problems aren't always hard 104
Word problems are useful 104
Solving Basic Word Problems 105
Turning word problems into word equations 105
Plugging in numbers for words 109
Send in the clowns 109
Our house in the middle of our street 110
I hear the train a-comin' 110
Solving More-Complex Word Problems 113
When numbers get serious 113
Too much information 115
Practice Questions Answers and Explanations 120
Whaddya Know? Chapter 7 Quiz 124
Answers to Chapter 7 Quiz 125
Chapter 8: Divisibility and Prime Numbers 127
Knowing the Divisibility Tricks 128
Counting everyone in: Numbers you can divide everything by 128
In the end: Looking at the final digits 128
Count it up: Checking divisibility by adding and subtracting digits 130
Less is more: Checking divisibility by subtracting 134
Cross-checking: Using multiple tests 135
Identifying Prime and Composite Numbers 136
Practice Questions Answers and Explanations 139
Whaddya Know? Chapter 8 Quiz 142
Answers to Chapter 8 Quiz 143
Chapter 9: Divided Attention: Factors and Multiples 145
Knowing Six Ways to Say the Same Thing 146
Understanding Factors and Multiples 146
Finding Fabulous Factors 148
Deciding when one number is a factor of another 148
Understanding factor pairs 148
Generating a Number's Factors 149
Decomposing a Number into Its Prime Factors 150
Finding the Greatest Common Factor 151
Generating the Multiples of a Number 153
Finding the Least Common Multiple 153
Practice Questions Answers and Explanations 155
Whaddya Know? Chapter 9 Quiz 158
Answers to Chapter 9 Quiz 159
Unit 4: Fractions 161
Chapter 10: Understanding Fractions 163
Slicing a Cake into Fractions 164
Knowing the Fraction Facts of Life 165
Telling the numerator from the denominator 165
Flipping for reciprocals 166
Using ones and zeros 166
Mixing things up 167
Knowing proper from improper 167
Increasing and Reducing Terms of Fractions 169
Increasing the terms of fractions 170
Reducing fractions to lowest terms (simplifying fractions) 171
Converting between Improper Fractions and Mixed Numbers 174
Knowing the parts of a mixed number 174
Converting a mixed number to an improper fraction 175
Converting an improper fraction to a mixed number 176
Comparing Fractions with Cross-Multiplication 178
Working with Ratios and Proportions 180
Practice Questions Answers and Explanations 182
Whaddya Know? Chapter 10 Quiz 188
Answers to Chapter 10 Quiz 189
Chapter 11: Fractions and the Big Four Operations 191
Multiplying and Dividing Fractions 192
Multiplying numerators and denominators straight across 192
Doing a flip to divide fractions 194
Adding and Subtracting Fractions with the Same Denominator 196
Adding and Subtracting Fractions with Different Denominators 198
The easy case: Increasing the terms of one fraction 198
The difficult case: Increasing the terms of both fractions 200
Practice Questions Answers and Explanations 202
Whaddya Know? Chapter 11 Quiz 208
Answers to Chapter 11 Quiz 209
Chapter 12: Mixing Things Up with Mixed Numbers 213
Multiplying and Dividing Mixed Numbers 214
Adding Mixed Numbers 216
Adding mixed numbers that have the same denominator 216
Adding mixed numbers that have different denominators 217
Adding mixed numbers with carrying 217
Subtracting Mixed Numbers 220
Subtracting mixed numbers that have the same denominator 220
Subtracting mixed numbers that have different denominators 221
Subtracting mixed numbers with borrowing 222
Practice Questions Answers and Explanations 225
Whaddya Know? Chapter 12 Quiz 233
Answers to Chapter 12 Quiz 234
Unit 5: Decimals and Percents 241
Chapter 13: Getting to the Point with Decimals 243
Understanding Basic Decimal Stuff 244
Counting dollars and decimals 244
Identifying the place value of decimals 246
Knowing the decimal facts of life 247
Performing the Big Four Operations with Decimals 252
Adding decimals 253
Subtracting decimals 254
Multiplying decimals 256
Dividing decimals 257
Converting between Decimals and Fractions 262
Simple Decimal-Fraction Conversions 262
Changing decimals to fractions 264
Changing fractions to decimals 267
Practice Questions Answers and Explanations 271
Whaddya Know? Chapter 13 Quiz 279
Answers to Chapter 13 Quiz 280
Chapter 14: Playing the Percentages 285
Making Sense of Percentages 285
Dealing with Percentages Greater than 100% 286
Converting to and from Percentages, Decimals, and Fractions 287
Converting Percentages to Decimals 287
Changing Decimals to Percentages 288
Switching from Percentages to Fractions 288
Converting Fractions to Percentages 289
Solving Percentage Problems 290
Figuring out simple percent problems 291
Turning the problem around 292
Deciphering more-difficult percent problems 293
Putting All the Percent Problems Together 294
Identifying the three types of percent problems 294
Solving Percent Problems with Equations 295
...| Erscheinungsjahr: | 2022 |
|---|---|
| Fachbereich: | Grundlagen |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: | 624 S. |
| ISBN-13: | 9781119867081 |
| ISBN-10: | 1119867088 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Zegarelli, Mark |
| Hersteller: | John Wiley & Sons Inc |
| Verantwortliche Person für die EU: | Wiley-VCH GmbH, Boschstr. 12, D-69469 Weinheim, amartine@wiley-vch.de |
| Maße: | 250 x 201 x 37 mm |
| Von/Mit: | Mark Zegarelli |
| Erscheinungsdatum: | 30.06.2022 |
| Gewicht: | 0,98 kg |
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