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Basic math & pre-algebra all-in one for dummies / by Mark Zegarelli.

Zegarelli, Mark, (author.).

Summary:

"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.
Subject: Mathematics.
Algebra.
Mathematics > Problems, exercises, etc.
Algebra > Problems, exercises, etc.

Available copies

  • 1 of 1 copy available at Missouri Evergreen. (Show)
  • 1 of 1 copy available at Rolla Public.

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  • 0 current holds with 1 total copy.
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Rolla Public Library NF 510 ZEG (Text) 38256101875668 Adult Nonfiction Available -

Syndetic Solutions - Table of Contents for ISBN Number 9781119867081
Basic Math and Pre-Algebra All-In-One for Dummies (+ Chapter Quizzes Online)
Basic Math and Pre-Algebra All-In-One for Dummies (+ Chapter Quizzes Online)
by Zegarelli, Mark
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Table of Contents

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

SectionSection DescriptionPage Number
Introductionp. 1
    About This Bookp. 1
    Foolish Assumptionsp. 2
    Icons Used in This Bookp. 2
    Beyond the Bookp. 3
    Where to Go from Herep. 3
Unit 1Getting Started with Basic Math & Pre-Algebrap. 5
Chapter 1    Playing the Numbers Gamep. 7
        Inventing Numbersp. 8
        Understanding Number Sequencesp. 8
            Evening the oddsp. 8
            Counting by threes, fours, fives, and so onp. 9
            Getting square with square numbersp. 9
            Composing yourself with composite numbersp. 10
            Stepping out of the box with prime numbersp. 11
            Multiplying quickly with exponentsp. 12
        Four Important Sets of Numbersp. 13
            Counting on the counting numbersp. 13
            Introducing integersp. 13
            Staying rationalp. 14
            Getting realp. 14
Chapter 2    The Big Four Operationsp. 15
        The Big Four Operationsp. 15
            Adding things up: Additionp. 16
            Take it away: Subtractionp. 16
            A sign of the times: Multiplicationp. 17
            Doing math lickety-split: Divisionp. 18
        Applying the Big Four Operations to Larger Numbersp. 18
            Calculating stacked additionp. 18
            Performing stacked subtractionp. 19
            Calculating with stacked multiplicationp. 21
            Understanding long divisionp. 22
Unit 2The Big Four Operations: Addition, Subtraction, Multiplication, and Divisionp. 25
Chapter 3    Counting on Success: Numbers and Digitsp. 27
        Knowing Your Place Valuep. 28
            Counting to ten and beyondp. 28
            Telling placeholders from leading zerosp. 29
            Reading long numbersp. 30
        Close Enough for Rock 'n' Roll: Rounding and Estimatingp. 30
            Rounding numbersp. 30
            Estimating value to make problems easierp. 32
        Practice Questions Answers and Explanationsp. 34
        Whaddya Know? Chapter 3 Quizp. 35
        Answers to Chapter 3 Quizp. 36
Chapter 4    Staying Positive with Negative Numbersp. 37
        Understanding Where Negative Numbers Come Fromp. 38
        Sign-Switching: Understanding Negation and Absolute Valuep. 39
        Addition and Subtraction with Negative Numbersp. 41
            Starting with a negative numberp. 41
            Adding a negative numberp. 41
            Subtracting a negative numberp. 42
        Knowing Signs of the Times (and Division) for Negative Numbersp. 44
        Practice Questions Answers and Explanationsp. 47
        Whaddya Know? Chapter 4 Quizp. 51
        Answers to Chapter 4 Quizp. 52
Chapter 5    Putting the Big Four Operations to Workp. 55
        Switching Things Up with Inverse Operations and the Commutative Propertyp. 56
        Getting with the In-Group: Parentheses and the Associative Propertyp. 59
            Distribution to lighten the loadp. 61
        Understanding Inequalitiesp. 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 Rootsp. 65
            Understanding exponentsp. 66
            Discovering your rootsp. 67
        Practice Questions Answers and Explanationsp. 69
        Whaddya Know? Chapter 5 Quizp. 72
        Answers to Chapter 5 Quizp. 73
Unit 3Getting a Handle on Whole Numbersp. 75
Chapter 6    Please Excuse My Dear Aunt Sally: Evaluating Arithmetic Expressions with PEMDASp. 77
        The Three E's of Math: Equations, Expressions, and Evaluationp. 78
            Seeking equality for all: Equationsp. 78
            Hey, it's just an expressionp. 78
            Evaluating the situationp. 79
            Putting the Three E's togetherp. 79
        Introducing Order of Operations (PEMDAS)p. 80
            Expressions with only addition and subtractionp. 81
            Expressions with only multiplication and divisionp. 81
            Mixed-operator expressionsp. 82
        Handling Powers Responsiblyp. 83
            Prioritizing parenthesesp. 84
            Pulling apart parentheses and powersp. 85
            Figuring out nested parenthesesp. 86
        Bringing It All Together: The Order of Operationsp. 87
        Practice Questions Answers and Explanationsp. 89
        Whaddya Know? Chapter 6 Quizp. 98
        Answers to Chapter 6 Quizp. 99
Chapter 7    Turning Words into Numbers: Basic Math Word Problemsp. 103
        Dispelling Two Myths about Word Problemsp. 104
            Word problems aren't always hardp. 104
            Word problems are usefulp. 104
        Solving Basic Word Problemsp. 105
            Turning word problems into word equationsp. 105
            Plugging in numbers for wordsp. 109
            Send in the clownsp. 109
            Our house in the middle of our streetp. 110
            I hear the train a-comin'p. 110
        Solving More-Complex Word Problemsp. 113
            When numbers get seriousp. 113
            Too much informationp. 115
        Practice Questions Answers and Explanationsp. 120
        Whaddya Know? Chapter 7 Quizp. 124
        Answers to Chapter 7 Quizp. 125
Chapter 8    Divisibility and Prime Numbersp. 127
        Knowing the Divisibility Tricksp. 128
            Counting everyone in: Numbers you can divide everything byp. 128
            In the end: Looking at the final digitsp. 128
            Count it up: Checking divisibility by adding and subtracting digitsp. 130
            Less is more: Checking divisibility by subtractingp. 134
            Cross-checking: Using multiple testsp. 135
        Identifying Prime and Composite Numbersp. 136
        Practice Questions Answers and Explanationsp. 139
        Whaddya Know? Chapter 8 Quizp. 142
        Answers to Chapter 8 Quizp. 143
Chapter 9    Divided Attention: Factors and Multiplesp. 145
        Knowing Six Ways to Say the Same Thingp. 146
        Understanding Factors and Multiplesp. 146
        Finding Fabulous Factorsp. 148
            Deciding when one number is a factor of anotherp. 148
            Understanding factor pairsp. 148
        Generating a Number's Factorsp. 149
        Decomposing a Number into Its Prime Factorsp. 150
        Finding the Greatest Common Factorp. 151
        Generating the Multiples of a Numberp. 153
        Finding the Least Common Multiplep. 153
        Practice Questions Answers and Explanationsp. 155
        Whaddya Know? Chapter 9 Quizp. 158
        Answers to Chapter 9 Quizp. 159
Unit 4Fractionsp. 161
Chapter 10    Understanding Fractionsp. 163
        Slicing a Cake into Fractionsp. 164
        Knowing the Fraction Facts of Lifep. 165
            Telling the numerator from the denominatorp. 165
            Flipping for reciprocalsp. 166
            Using ones and zerosp. 166
            Mixing things upp. 167
            Knowing proper from improperp. 167
        Increasing and Reducing Terms of Fractionsp. 169
            Increasing the terms of fractionsp. 170
            Reducing fractions to lowest terms (simplifying fractions)p. 171
        Converting between Improper Fractions and Mixed Numbersp. 174
            Knowing the parts of a mixed numberp. 174
            Converting a mixed number to an improper fractionp. 175
            Converting an improper fraction to a mixed numberp. 176
        Comparing Fractions with Cross-Multiplicationp. 178
        Working with Ratios and Proportionsp. 180
        Practice Questions Answers and Explanationsp. 182
        Whaddya Know? Chapter 10 Quizp. 188
        Answers to Chapter 10 Quizp. 189
Chapter 11    Fractions and the Big Four Operationsp. 191
        Multiplying and Dividing Fractionsp. 192
            Multiplying numerators and denominators straight acrossp. 192
            Doing a flip to divide fractionsp. 194
        Adding and Subtracting Fractions with the Same Denominatorp. 196
        Adding and Subtracting Fractions with Different Denominatorsp. 198
            The easy case: Increasing the terms of one fractionp. 198
            The difficult case: Increasing the terms of both fractionsp. 200
        Practice Questions Answers and Explanationsp. 202
        Whaddya Know? Chapter 11 Quizp. 208
        Answers to Chapter 11 Quizp. 209
Chapter 12    Mixing Things Up with Mixed Numbersp. 213
        Multiplying and Dividing Mixed Numbersp. 214
        Adding Mixed Numbersp. 216
            Adding mixed numbers that have the same denominatorp. 216
            Adding mixed numbers that have different denominatorsp. 217
            Adding mixed numbers with carryingp. 217
        Subtracting Mixed Numbersp. 220
            Subtracting mixed numbers that have the same denominatorp. 220
            Subtracting mixed numbers that have different denominatorsp. 221
            Subtracting mixed numbers with borrowingp. 222
        Practice Questions Answers and Explanationsp. 225
        Whaddya Know? Chapter 12 Quizp. 233
        Answers to Chapter 12 Quizp. 234
Unit 5Decimals and Percentsp. 241
Chapter 13    Getting to the Point with Decimalsp. 243
        Understanding Basic Decimal Stuffp. 244
            Counting dollars and decimalsp. 244
            Identifying the place value of decimalsp. 246
            Knowing the decimal facts of lifep. 247
        Performing the Big Four Operations with Decimalsp. 252
            Adding decimalsp. 253
            Subtracting decimalsp. 254
            Multiplying decimalsp. 256
            Dividing decimalsp. 257
        Converting between Decimals and Fractionsp. 262
        Simple Decimal-Fraction Conversionsp. 262
            Changing decimals to fractionsp. 264
            Changing fractions to decimalsp. 267
        Practice Questions Answers and Explanationsp. 271
        Whaddya Know? Chapter 13 Quizp. 279
        Answers to Chapter 13 Quizp. 280
Chapter 14    Playing the Percentagesp. 285
        Making Sense of Percentagesp. 285
        Dealing with Percentages Greater than 100%p. 286
        Converting to and from Percentages, Decimals, and Fractionsp. 287
        Converting Percentages to Decimalsp. 287
        Changing Decimals to Percentagesp. 288
        Switching from Percentages to Fractionsp. 288
        Converting Fractions to Percentagesp. 289
        Solving Percentage Problemsp. 290
            Figuring out simple percent problemsp. 291
            Turning the problem aroundp. 292
            Deciphering more-difficult percent problemsp. 293
        Putting All the Percent Problems Togetherp. 294
            Identifying the three types of percent problemsp. 294
        Solving Percent Problems with Equationsp. 295
        Practice Questions Answers and Explanationsp. 299
        Whaddya Know? Chapter 14 Quizp. 303
        Answers to Chapter 14 Quizp. 304
Chapter 15    Word Problems with Fractions, Decimals, and Percentagesp. 307
        Adding and Subtracting Parts of the Whole in Word Problemsp. 308
            Sharing a pizza: Fractionsp. 308
            Buying by the pound: Decimalsp. 309
            Splitting the vote: Percentagesp. 309
        Problems about Multiplying Fractionsp. 310
            Renegade grocery shopping: Buying less than they tell you top. 310
            Easy as pie: Working out what's left on your platep. 311
        Multiplying Decimals and Percentages in Word Problemsp. 313
            To the end: Figuring out how much money is leftp. 313
            Finding out how much you started withp. 314
        Handling Percent Increases and Decreases in Word Problemsp. 316
            Raking in the dough: Finding salary increasesp. 316
            Earning interest on top of interestp. 316
            Getting a deal: Calculating discountsp. 317
        Practice Questions Answers and Explanationsp. 319
        Whaddya Know? Chapter 15 Quizp. 322
        Answers to Chapter 15 Quizp. 324
Unit 6Reaching the Summit: Advanced Pre-Algebra Topicsp. 327
Chapter 16    Powers and Rootsp. 329
        Memorizing Powers and Rootsp. 329
            Remembering square numbers and square rootsp. 330
            Keeping track of cubic numbers and cube rootsp. 330
            Knowing a few powers of 2 and their related rootsp. 331
        Changing the Basep. 332
            Negating a number raised to an exponentp. 332
            Finding powers of negative numbersp. 332
            Finding powers of fractionsp. 333
            Mixing negative numbers and fractions with exponentsp. 333
        Exponents of 0 and Negative Numbersp. 334
            Exponents of 0p. 334
            Negative exponentsp. 335
        Fractional Exponentsp. 337
            Exponents of 1/2p. 337
            Exponents of 1/3p. 338
            Exponents of 1/4, 1/5, 1/6, and so forthp. 339
            Other fractional exponentsp. 339
        Practice Questions Answers and Explanationsp. 341
        Whaddya Know? Chapter 16 Quizp. 343
            Answers to Chapter 16 Quizp. 344
Chapter 17    A Perfect Ten: Condensing Numbers with Scientific Notationp. 347
        First Things First: Using Powers of Ten as Exponentsp. 348
            Counting zeros and writing exponentsp. 348
        Exponential Arithmetic: Multiplying and Dividing Powers of Tenp. 350
        Working with Scientific Notationp. 352
            Writing in scientific notationp. 352
            Understanding order of magnitudep. 354
            Multiplying with scientific notationp. 355
            Dividing with Scientific Notationp. 356
        Practice Questions Answers and Explanationsp. 357
        Whaddya Know? Chapter 17 Quizp. 360
        Answers to Chapter 17 Quizp. 361
Chapter 18    How Much Have You Got? Weights and Measuresp. 363
        Understanding Unitsp. 364
            Adding and subtracting unitsp. 364
            Multiplying and dividing unitsp. 364
        Examining Differences between the English and Metric systemsp. 365
            Looking at the English systemp. 365
            Looking at the metric systemp. 369
        Estimating and Converting between the English and Metric Systemsp. 372
            Estimating in the metric systemp. 373
            Converting units of measurementp. 375
        Converting between English and Metric Unitsp. 377
        Practice Questions Answers and Explanationsp. 381
        Whaddya Know? Chapter 18 Quizp. 388
        Answers to Chapter 18 Quizp. 389
Chapter 19    Getting the Picture with Geometryp. 393
        Getting on the Plane: Points, Lines, Angles, and Shapesp. 394
            Making some pointsp. 394
            Knowing your linesp. 394
            Figuring the anglesp. 395
            Shaping things upp. 396
        Getting in Shape: Polygon (and Non-Polygon) Basicsp. 396
        Closed Encounters: Shaping Up Your Understanding of 2-D Shapesp. 397
            Polygonsp. 397
            Circlesp. 399
        Squaring Off with Quadrilateralsp. 400
        Making a Triple Play with Trianglesp. 403
        Getting Around with Circle Measurementsp. 405
        Taking a Trip to Another Dimension: Solid Geometryp. 406
            The many faces of polyhedronsp. 407
            3-D shapes with curvesp. 408
        Building Solid Measurement Skillsp. 409
        Solving Geometry Word Problemsp. 413
            Working from words and imagesp. 413
            Breaking out those sketching skillsp. 415
        Practice Questions Answers and Explanationsp. 418
        Whaddya Know? Chapter 19 Quizp. 425
        Answers to Chapter 19 Quizp. 427
Chapter 20    Figuring Your Chances: Statistics and Probabilityp. 431
        Gathering Data Mathematically: Basic Statisticsp. 432
            Understanding differences between qualitative and quantitative datap. 432
            Working with qualitative datap. 433
            Working with quantitative datap. 436
        Looking at Likelihoods: Basic Probabilityp. 439
            Figuring the probabilityp. 440
            Oh, the possibilities! Counting outcomes with multiple coinsp. 441
        Practice Questions Answers and Explanationsp. 444
        Whaddya Know? Chapter 20 Quizp. 447
        Answers to Chapter 20 Quizp. 449
Chapter 21    Setting Things Up with Basic Set Theoryp. 451
        Understanding Setsp. 451
            Elementary, my dear: Considering what's inside setsp. 452
            Sets of numbersp. 454
        Performing Operations on Setsp. 455
            Union: Combined elementsp. 455
            Intersection: Elements in commonp. 456
            Relative complement: Subtraction (sorta)p. 457
            Complement: Feeling left outp. 457
        Practice Questions Answers and Explanationsp. 459
        Whaddya Know? Chapter 21 Quizp. 461
        Answers to Chapter 21 Quizp. 462
Unit 7The X-Files: Introduction to Algebrap. 463
Chapter 22    Working with Algebraic Expressionsp. 465
        Seeing How X Marks the Spotp. 466
        Expressing Yourself with Algebraic Expressionsp. 466
        Evaluating Algebraic Expressionsp. 467
        Knowing the Termsp. 470
            Making the commute: Rearranging your termsp. 471
            Identifying the coefficient and variablep. 472
        Adding and Subtracting Like Termsp. 473
            Identifying like termsp. 473
            Adding and subtracting termsp. 474
        Multiplying and Dividing Termsp. 475
        Simplifying Expressions by Combining Like Termsp. 479
        Removing Parentheses from an Algebraic Expressionp. 481
            Drop everything: Parentheses with a plus signp. 481
            Sign turnabout: Parentheses with a negative signp. 481
            Distribution: Parentheses with no signp. 482
        FOILing: Dealing with Two Sets of Parenthesesp. 484
        Practice Questions Answers and Explanationsp. 487
        Whaddya Know? Chapter 22 Quizp. 495
        Answers to Chapter 22 Quizp. 496
Chapter 23    Solving Algebraic Equationsp. 499
        Understanding Algebraic Equationsp. 500
            Using x in equationsp. 500
            Choosing among four ways to solve algebraic equationsp. 501
        The Balancing Act: Solving for xp. 503
            Striking a balancep. 504
            Using the balance scale to isolate xp. 504
        Rearranging Equations and Isolating xp. 506
            Rearranging terms on one side of an equationp. 506
            Moving terms to the other side of the equals signp. 507
            Removing parentheses from equationsp. 509
            Cross-multiplyingp. 512
        Practice Questions Answers and Explanationsp. 515
        Whaddya Know? Chapter 23 Quizp. 525
        Answers to Chapter 23 Quizp. 526
Chapter 24    Tackling Algebra Word Problemsp. 531
        Solving Algebra Word Problems in Five Stepsp. 531
            Declaring a variablep. 532
            Setting up the equationp. 533
            Solving the equationp. 533
            Answering the questionp. 534
            Checking your workp. 534
        Choosing Your Variable Wiselyp. 536
        Solving More-Complex Algebraic Problemsp. 539
            Charting four peoplep. 539
            Crossing the finish line with five peoplep. 540
        Practice Questions Answers and Explanationsp. 545
        Whaddya Know? Chapter 24 Quizp. 549
        Answers to Chapter 24 Quizp. 550
Chapter 25    Graphing Algebraic Equationsp. 553
        Graphing on the xy-Planep. 554
            Understanding the axes, the origin, and the quadrantsp. 554
            Plotting coordinates on the xy-planep. 554
            Graphing equations on the xy-planep. 555
        Understanding Linear Equationsp. 559
            Knowing the most basic linear equationp. 559
            Changing the slope (m)p. 560
            Changing the y-intercept (b)p. 561
            Understanding slope-intercept formp. 562
        Measuring the Slope of a Linep. 564
            Estimating slopep. 564
            Eyeballing slope on the xy-planep. 566
            Using the two-point slope formulap. 569
        Graphing Linear Equations Using the Slope and y-interceptp. 572
        Practice Questions Answers and Explanationsp. 574
        Whaddya Know? Chapter 25 Quizp. 577
        Answers to Chapter 25 Quizp. 581
Indexp. 583

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