Basic math & pre-algebra all-in one for dummies / by Mark Zegarelli.
"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." --publisher's website.
Record details
- ISBN: 9781119867081
- ISBN: 1119867088
- Physical Description: xv, 600 pages : illustrations ; 26 cm.
- Publisher: Hoboken, New Jersey : John Wiley & Sons, Inc., [2022]
Content descriptions
General Note: | Includes index. |
Formatted Contents Note: | Introduction -- Getting started with basic math & pre-algebra -- The big four operations: addition, subtraction, multiplication, and division -- Getting a handle on whole numbers -- Fractions -- Decimals and percents -- Reaching the summit: advanced pre-algebra topics -- The x-files: introduction to algebra. |
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Subject: | Mathematics. Algebra. Mathematics > Problems, exercises, etc. Algebra > Problems, exercises, etc. |
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Available copies
- 1 of 1 copy available at Missouri Evergreen. (Show)
- 1 of 1 copy available at Rolla Public.
Holds
- 0 current holds with 1 total copy.
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Location | Call Number / Copy Notes | Barcode | Shelving Location | Status | Due Date |
---|---|---|---|---|---|
Rolla Public Library | NF 510 ZEG (Text) | 38256101875668 | Adult Nonfiction | Available | - |
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Basic Math and Pre-Algebra All-In-One for Dummies (+ Chapter Quizzes Online)
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Table of Contents
Basic Math and Pre-Algebra All-In-One for Dummies (+ Chapter Quizzes Online)
Section | Section Description | Page Number |
---|---|---|
Introduction | p. 1 | |
About This Book | p. 1 | |
Foolish Assumptions | p. 2 | |
Icons Used in This Book | p. 2 | |
Beyond the Book | p. 3 | |
Where to Go from Here | p. 3 | |
Unit 1 | Getting Started with Basic Math & Pre-Algebra | p. 5 |
Chapter 1 | Playing the Numbers Game | p. 7 |
Inventing Numbers | p. 8 | |
Understanding Number Sequences | p. 8 | |
Evening the odds | p. 8 | |
Counting by threes, fours, fives, and so on | p. 9 | |
Getting square with square numbers | p. 9 | |
Composing yourself with composite numbers | p. 10 | |
Stepping out of the box with prime numbers | p. 11 | |
Multiplying quickly with exponents | p. 12 | |
Four Important Sets of Numbers | p. 13 | |
Counting on the counting numbers | p. 13 | |
Introducing integers | p. 13 | |
Staying rational | p. 14 | |
Getting real | p. 14 | |
Chapter 2 | The Big Four Operations | p. 15 |
The Big Four Operations | p. 15 | |
Adding things up: Addition | p. 16 | |
Take it away: Subtraction | p. 16 | |
A sign of the times: Multiplication | p. 17 | |
Doing math lickety-split: Division | p. 18 | |
Applying the Big Four Operations to Larger Numbers | p. 18 | |
Calculating stacked addition | p. 18 | |
Performing stacked subtraction | p. 19 | |
Calculating with stacked multiplication | p. 21 | |
Understanding long division | p. 22 | |
Unit 2 | The Big Four Operations: Addition, Subtraction, Multiplication, and Division | p. 25 |
Chapter 3 | Counting on Success: Numbers and Digits | p. 27 |
Knowing Your Place Value | p. 28 | |
Counting to ten and beyond | p. 28 | |
Telling placeholders from leading zeros | p. 29 | |
Reading long numbers | p. 30 | |
Close Enough for Rock 'n' Roll: Rounding and Estimating | p. 30 | |
Rounding numbers | p. 30 | |
Estimating value to make problems easier | p. 32 | |
Practice Questions Answers and Explanations | p. 34 | |
Whaddya Know? Chapter 3 Quiz | p. 35 | |
Answers to Chapter 3 Quiz | p. 36 | |
Chapter 4 | Staying Positive with Negative Numbers | p. 37 |
Understanding Where Negative Numbers Come From | p. 38 | |
Sign-Switching: Understanding Negation and Absolute Value | p. 39 | |
Addition and Subtraction with Negative Numbers | p. 41 | |
Starting with a negative number | p. 41 | |
Adding a negative number | p. 41 | |
Subtracting a negative number | p. 42 | |
Knowing Signs of the Times (and Division) for Negative Numbers | p. 44 | |
Practice Questions Answers and Explanations | p. 47 | |
Whaddya Know? Chapter 4 Quiz | p. 51 | |
Answers to Chapter 4 Quiz | p. 52 | |
Chapter 5 | Putting the Big Four Operations to Work | p. 55 |
Switching Things Up with Inverse Operations and the Commutative Property | p. 56 | |
Getting with the In-Group: Parentheses and the Associative Property | p. 59 | |
Distribution to lighten the load | p. 61 | |
Understanding Inequalities | p. 63 | |
Doesn't equal (≠) | p. 63 | |
Less than ( ) | p. 63 | |
Less than or equal to (≤) and greater than or equal to (≥) | p. 64 | |
Approximately equals (≈) | p. 64 | |
Moving Beyond the Big Four: Exponents and Square Roots | p. 65 | |
Understanding exponents | p. 66 | |
Discovering your roots | p. 67 | |
Practice Questions Answers and Explanations | p. 69 | |
Whaddya Know? Chapter 5 Quiz | p. 72 | |
Answers to Chapter 5 Quiz | p. 73 | |
Unit 3 | Getting a Handle on Whole Numbers | p. 75 |
Chapter 6 | Please Excuse My Dear Aunt Sally: Evaluating Arithmetic Expressions with PEMDAS | p. 77 |
The Three E's of Math: Equations, Expressions, and Evaluation | p. 78 | |
Seeking equality for all: Equations | p. 78 | |
Hey, it's just an expression | p. 78 | |
Evaluating the situation | p. 79 | |
Putting the Three E's together | p. 79 | |
Introducing Order of Operations (PEMDAS) | p. 80 | |
Expressions with only addition and subtraction | p. 81 | |
Expressions with only multiplication and division | p. 81 | |
Mixed-operator expressions | p. 82 | |
Handling Powers Responsibly | p. 83 | |
Prioritizing parentheses | p. 84 | |
Pulling apart parentheses and powers | p. 85 | |
Figuring out nested parentheses | p. 86 | |
Bringing It All Together: The Order of Operations | p. 87 | |
Practice Questions Answers and Explanations | p. 89 | |
Whaddya Know? Chapter 6 Quiz | p. 98 | |
Answers to Chapter 6 Quiz | p. 99 | |
Chapter 7 | Turning Words into Numbers: Basic Math Word Problems | p. 103 |
Dispelling Two Myths about Word Problems | p. 104 | |
Word problems aren't always hard | p. 104 | |
Word problems are useful | p. 104 | |
Solving Basic Word Problems | p. 105 | |
Turning word problems into word equations | p. 105 | |
Plugging in numbers for words | p. 109 | |
Send in the clowns | p. 109 | |
Our house in the middle of our street | p. 110 | |
I hear the train a-comin' | p. 110 | |
Solving More-Complex Word Problems | p. 113 | |
When numbers get serious | p. 113 | |
Too much information | p. 115 | |
Practice Questions Answers and Explanations | p. 120 | |
Whaddya Know? Chapter 7 Quiz | p. 124 | |
Answers to Chapter 7 Quiz | p. 125 | |
Chapter 8 | Divisibility and Prime Numbers | p. 127 |
Knowing the Divisibility Tricks | p. 128 | |
Counting everyone in: Numbers you can divide everything by | p. 128 | |
In the end: Looking at the final digits | p. 128 | |
Count it up: Checking divisibility by adding and subtracting digits | p. 130 | |
Less is more: Checking divisibility by subtracting | p. 134 | |
Cross-checking: Using multiple tests | p. 135 | |
Identifying Prime and Composite Numbers | p. 136 | |
Practice Questions Answers and Explanations | p. 139 | |
Whaddya Know? Chapter 8 Quiz | p. 142 | |
Answers to Chapter 8 Quiz | p. 143 | |
Chapter 9 | Divided Attention: Factors and Multiples | p. 145 |
Knowing Six Ways to Say the Same Thing | p. 146 | |
Understanding Factors and Multiples | p. 146 | |
Finding Fabulous Factors | p. 148 | |
Deciding when one number is a factor of another | p. 148 | |
Understanding factor pairs | p. 148 | |
Generating a Number's Factors | p. 149 | |
Decomposing a Number into Its Prime Factors | p. 150 | |
Finding the Greatest Common Factor | p. 151 | |
Generating the Multiples of a Number | p. 153 | |
Finding the Least Common Multiple | p. 153 | |
Practice Questions Answers and Explanations | p. 155 | |
Whaddya Know? Chapter 9 Quiz | p. 158 | |
Answers to Chapter 9 Quiz | p. 159 | |
Unit 4 | Fractions | p. 161 |
Chapter 10 | Understanding Fractions | p. 163 |
Slicing a Cake into Fractions | p. 164 | |
Knowing the Fraction Facts of Life | p. 165 | |
Telling the numerator from the denominator | p. 165 | |
Flipping for reciprocals | p. 166 | |
Using ones and zeros | p. 166 | |
Mixing things up | p. 167 | |
Knowing proper from improper | p. 167 | |
Increasing and Reducing Terms of Fractions | p. 169 | |
Increasing the terms of fractions | p. 170 | |
Reducing fractions to lowest terms (simplifying fractions) | p. 171 | |
Converting between Improper Fractions and Mixed Numbers | p. 174 | |
Knowing the parts of a mixed number | p. 174 | |
Converting a mixed number to an improper fraction | p. 175 | |
Converting an improper fraction to a mixed number | p. 176 | |
Comparing Fractions with Cross-Multiplication | p. 178 | |
Working with Ratios and Proportions | p. 180 | |
Practice Questions Answers and Explanations | p. 182 | |
Whaddya Know? Chapter 10 Quiz | p. 188 | |
Answers to Chapter 10 Quiz | p. 189 | |
Chapter 11 | Fractions and the Big Four Operations | p. 191 |
Multiplying and Dividing Fractions | p. 192 | |
Multiplying numerators and denominators straight across | p. 192 | |
Doing a flip to divide fractions | p. 194 | |
Adding and Subtracting Fractions with the Same Denominator | p. 196 | |
Adding and Subtracting Fractions with Different Denominators | p. 198 | |
The easy case: Increasing the terms of one fraction | p. 198 | |
The difficult case: Increasing the terms of both fractions | p. 200 | |
Practice Questions Answers and Explanations | p. 202 | |
Whaddya Know? Chapter 11 Quiz | p. 208 | |
Answers to Chapter 11 Quiz | p. 209 | |
Chapter 12 | Mixing Things Up with Mixed Numbers | p. 213 |
Multiplying and Dividing Mixed Numbers | p. 214 | |
Adding Mixed Numbers | p. 216 | |
Adding mixed numbers that have the same denominator | p. 216 | |
Adding mixed numbers that have different denominators | p. 217 | |
Adding mixed numbers with carrying | p. 217 | |
Subtracting Mixed Numbers | p. 220 | |
Subtracting mixed numbers that have the same denominator | p. 220 | |
Subtracting mixed numbers that have different denominators | p. 221 | |
Subtracting mixed numbers with borrowing | p. 222 | |
Practice Questions Answers and Explanations | p. 225 | |
Whaddya Know? Chapter 12 Quiz | p. 233 | |
Answers to Chapter 12 Quiz | p. 234 | |
Unit 5 | Decimals and Percents | p. 241 |
Chapter 13 | Getting to the Point with Decimals | p. 243 |
Understanding Basic Decimal Stuff | p. 244 | |
Counting dollars and decimals | p. 244 | |
Identifying the place value of decimals | p. 246 | |
Knowing the decimal facts of life | p. 247 | |
Performing the Big Four Operations with Decimals | p. 252 | |
Adding decimals | p. 253 | |
Subtracting decimals | p. 254 | |
Multiplying decimals | p. 256 | |
Dividing decimals | p. 257 | |
Converting between Decimals and Fractions | p. 262 | |
Simple Decimal-Fraction Conversions | p. 262 | |
Changing decimals to fractions | p. 264 | |
Changing fractions to decimals | p. 267 | |
Practice Questions Answers and Explanations | p. 271 | |
Whaddya Know? Chapter 13 Quiz | p. 279 | |
Answers to Chapter 13 Quiz | p. 280 | |
Chapter 14 | Playing the Percentages | p. 285 |
Making Sense of Percentages | p. 285 | |
Dealing with Percentages Greater than 100% | p. 286 | |
Converting to and from Percentages, Decimals, and Fractions | p. 287 | |
Converting Percentages to Decimals | p. 287 | |
Changing Decimals to Percentages | p. 288 | |
Switching from Percentages to Fractions | p. 288 | |
Converting Fractions to Percentages | p. 289 | |
Solving Percentage Problems | p. 290 | |
Figuring out simple percent problems | p. 291 | |
Turning the problem around | p. 292 | |
Deciphering more-difficult percent problems | p. 293 | |
Putting All the Percent Problems Together | p. 294 | |
Identifying the three types of percent problems | p. 294 | |
Solving Percent Problems with Equations | p. 295 | |
Practice Questions Answers and Explanations | p. 299 | |
Whaddya Know? Chapter 14 Quiz | p. 303 | |
Answers to Chapter 14 Quiz | p. 304 | |
Chapter 15 | Word Problems with Fractions, Decimals, and Percentages | p. 307 |
Adding and Subtracting Parts of the Whole in Word Problems | p. 308 | |
Sharing a pizza: Fractions | p. 308 | |
Buying by the pound: Decimals | p. 309 | |
Splitting the vote: Percentages | p. 309 | |
Problems about Multiplying Fractions | p. 310 | |
Renegade grocery shopping: Buying less than they tell you to | p. 310 | |
Easy as pie: Working out what's left on your plate | p. 311 | |
Multiplying Decimals and Percentages in Word Problems | p. 313 | |
To the end: Figuring out how much money is left | p. 313 | |
Finding out how much you started with | p. 314 | |
Handling Percent Increases and Decreases in Word Problems | p. 316 | |
Raking in the dough: Finding salary increases | p. 316 | |
Earning interest on top of interest | p. 316 | |
Getting a deal: Calculating discounts | p. 317 | |
Practice Questions Answers and Explanations | p. 319 | |
Whaddya Know? Chapter 15 Quiz | p. 322 | |
Answers to Chapter 15 Quiz | p. 324 | |
Unit 6 | Reaching the Summit: Advanced Pre-Algebra Topics | p. 327 |
Chapter 16 | Powers and Roots | p. 329 |
Memorizing Powers and Roots | p. 329 | |
Remembering square numbers and square roots | p. 330 | |
Keeping track of cubic numbers and cube roots | p. 330 | |
Knowing a few powers of 2 and their related roots | p. 331 | |
Changing the Base | p. 332 | |
Negating a number raised to an exponent | p. 332 | |
Finding powers of negative numbers | p. 332 | |
Finding powers of fractions | p. 333 | |
Mixing negative numbers and fractions with exponents | p. 333 | |
Exponents of 0 and Negative Numbers | p. 334 | |
Exponents of 0 | p. 334 | |
Negative exponents | p. 335 | |
Fractional Exponents | p. 337 | |
Exponents of 1/2 | p. 337 | |
Exponents of 1/3 | p. 338 | |
Exponents of 1/4, 1/5, 1/6, and so forth | p. 339 | |
Other fractional exponents | p. 339 | |
Practice Questions Answers and Explanations | p. 341 | |
Whaddya Know? Chapter 16 Quiz | p. 343 | |
Answers to Chapter 16 Quiz | p. 344 | |
Chapter 17 | A Perfect Ten: Condensing Numbers with Scientific Notation | p. 347 |
First Things First: Using Powers of Ten as Exponents | p. 348 | |
Counting zeros and writing exponents | p. 348 | |
Exponential Arithmetic: Multiplying and Dividing Powers of Ten | p. 350 | |
Working with Scientific Notation | p. 352 | |
Writing in scientific notation | p. 352 | |
Understanding order of magnitude | p. 354 | |
Multiplying with scientific notation | p. 355 | |
Dividing with Scientific Notation | p. 356 | |
Practice Questions Answers and Explanations | p. 357 | |
Whaddya Know? Chapter 17 Quiz | p. 360 | |
Answers to Chapter 17 Quiz | p. 361 | |
Chapter 18 | How Much Have You Got? Weights and Measures | p. 363 |
Understanding Units | p. 364 | |
Adding and subtracting units | p. 364 | |
Multiplying and dividing units | p. 364 | |
Examining Differences between the English and Metric systems | p. 365 | |
Looking at the English system | p. 365 | |
Looking at the metric system | p. 369 | |
Estimating and Converting between the English and Metric Systems | p. 372 | |
Estimating in the metric system | p. 373 | |
Converting units of measurement | p. 375 | |
Converting between English and Metric Units | p. 377 | |
Practice Questions Answers and Explanations | p. 381 | |
Whaddya Know? Chapter 18 Quiz | p. 388 | |
Answers to Chapter 18 Quiz | p. 389 | |
Chapter 19 | Getting the Picture with Geometry | p. 393 |
Getting on the Plane: Points, Lines, Angles, and Shapes | p. 394 | |
Making some points | p. 394 | |
Knowing your lines | p. 394 | |
Figuring the angles | p. 395 | |
Shaping things up | p. 396 | |
Getting in Shape: Polygon (and Non-Polygon) Basics | p. 396 | |
Closed Encounters: Shaping Up Your Understanding of 2-D Shapes | p. 397 | |
Polygons | p. 397 | |
Circles | p. 399 | |
Squaring Off with Quadrilaterals | p. 400 | |
Making a Triple Play with Triangles | p. 403 | |
Getting Around with Circle Measurements | p. 405 | |
Taking a Trip to Another Dimension: Solid Geometry | p. 406 | |
The many faces of polyhedrons | p. 407 | |
3-D shapes with curves | p. 408 | |
Building Solid Measurement Skills | p. 409 | |
Solving Geometry Word Problems | p. 413 | |
Working from words and images | p. 413 | |
Breaking out those sketching skills | p. 415 | |
Practice Questions Answers and Explanations | p. 418 | |
Whaddya Know? Chapter 19 Quiz | p. 425 | |
Answers to Chapter 19 Quiz | p. 427 | |
Chapter 20 | Figuring Your Chances: Statistics and Probability | p. 431 |
Gathering Data Mathematically: Basic Statistics | p. 432 | |
Understanding differences between qualitative and quantitative data | p. 432 | |
Working with qualitative data | p. 433 | |
Working with quantitative data | p. 436 | |
Looking at Likelihoods: Basic Probability | p. 439 | |
Figuring the probability | p. 440 | |
Oh, the possibilities! Counting outcomes with multiple coins | p. 441 | |
Practice Questions Answers and Explanations | p. 444 | |
Whaddya Know? Chapter 20 Quiz | p. 447 | |
Answers to Chapter 20 Quiz | p. 449 | |
Chapter 21 | Setting Things Up with Basic Set Theory | p. 451 |
Understanding Sets | p. 451 | |
Elementary, my dear: Considering what's inside sets | p. 452 | |
Sets of numbers | p. 454 | |
Performing Operations on Sets | p. 455 | |
Union: Combined elements | p. 455 | |
Intersection: Elements in common | p. 456 | |
Relative complement: Subtraction (sorta) | p. 457 | |
Complement: Feeling left out | p. 457 | |
Practice Questions Answers and Explanations | p. 459 | |
Whaddya Know? Chapter 21 Quiz | p. 461 | |
Answers to Chapter 21 Quiz | p. 462 | |
Unit 7 | The X-Files: Introduction to Algebra | p. 463 |
Chapter 22 | Working with Algebraic Expressions | p. 465 |
Seeing How X Marks the Spot | p. 466 | |
Expressing Yourself with Algebraic Expressions | p. 466 | |
Evaluating Algebraic Expressions | p. 467 | |
Knowing the Terms | p. 470 | |
Making the commute: Rearranging your terms | p. 471 | |
Identifying the coefficient and variable | p. 472 | |
Adding and Subtracting Like Terms | p. 473 | |
Identifying like terms | p. 473 | |
Adding and subtracting terms | p. 474 | |
Multiplying and Dividing Terms | p. 475 | |
Simplifying Expressions by Combining Like Terms | p. 479 | |
Removing Parentheses from an Algebraic Expression | p. 481 | |
Drop everything: Parentheses with a plus sign | p. 481 | |
Sign turnabout: Parentheses with a negative sign | p. 481 | |
Distribution: Parentheses with no sign | p. 482 | |
FOILing: Dealing with Two Sets of Parentheses | p. 484 | |
Practice Questions Answers and Explanations | p. 487 | |
Whaddya Know? Chapter 22 Quiz | p. 495 | |
Answers to Chapter 22 Quiz | p. 496 | |
Chapter 23 | Solving Algebraic Equations | p. 499 |
Understanding Algebraic Equations | p. 500 | |
Using x in equations | p. 500 | |
Choosing among four ways to solve algebraic equations | p. 501 | |
The Balancing Act: Solving for x | p. 503 | |
Striking a balance | p. 504 | |
Using the balance scale to isolate x | p. 504 | |
Rearranging Equations and Isolating x | p. 506 | |
Rearranging terms on one side of an equation | p. 506 | |
Moving terms to the other side of the equals sign | p. 507 | |
Removing parentheses from equations | p. 509 | |
Cross-multiplying | p. 512 | |
Practice Questions Answers and Explanations | p. 515 | |
Whaddya Know? Chapter 23 Quiz | p. 525 | |
Answers to Chapter 23 Quiz | p. 526 | |
Chapter 24 | Tackling Algebra Word Problems | p. 531 |
Solving Algebra Word Problems in Five Steps | p. 531 | |
Declaring a variable | p. 532 | |
Setting up the equation | p. 533 | |
Solving the equation | p. 533 | |
Answering the question | p. 534 | |
Checking your work | p. 534 | |
Choosing Your Variable Wisely | p. 536 | |
Solving More-Complex Algebraic Problems | p. 539 | |
Charting four people | p. 539 | |
Crossing the finish line with five people | p. 540 | |
Practice Questions Answers and Explanations | p. 545 | |
Whaddya Know? Chapter 24 Quiz | p. 549 | |
Answers to Chapter 24 Quiz | p. 550 | |
Chapter 25 | Graphing Algebraic Equations | p. 553 |
Graphing on the xy-Plane | p. 554 | |
Understanding the axes, the origin, and the quadrants | p. 554 | |
Plotting coordinates on the xy-plane | p. 554 | |
Graphing equations on the xy-plane | p. 555 | |
Understanding Linear Equations | p. 559 | |
Knowing the most basic linear equation | p. 559 | |
Changing the slope (m) | p. 560 | |
Changing the y-intercept (b) | p. 561 | |
Understanding slope-intercept form | p. 562 | |
Measuring the Slope of a Line | p. 564 | |
Estimating slope | p. 564 | |
Eyeballing slope on the xy-plane | p. 566 | |
Using the two-point slope formula | p. 569 | |
Graphing Linear Equations Using the Slope and y-intercept | p. 572 | |
Practice Questions Answers and Explanations | p. 574 | |
Whaddya Know? Chapter 25 Quiz | p. 577 | |
Answers to Chapter 25 Quiz | p. 581 | |
Index | p. 583 |