Arithmetic the Easy Way

by Williams, Edward; Prindle, Katie; Farley, Eugene J.

• ISBN13: 9780812094107
• ISBN10: 0812094107
• Format: Paperback
• Copyright: 1996-07-01
• Publisher: Barrons Test Prep

Summary

These books are ideal student self-help supplements. They offer valuable overviews of course work and extra help with difficult subject areas. This volume includes all the essentials in one clear volume, including math fundamentals, quantitative word problems, exercises, tests with answers, puzzles, and amusing cartoons.

Table of Contents

Preface	p. viii
Introduction	p. ix
Reference Tables	p. xii
We Can Work Together	p. 1
Pretest 1	p. 2
Number Symbols We Use	p. 4
Counting and Tallying	p. 4
One-Digit, Two-Digit, and Larger Numbers	p. 5
Each Place Has a Value	p. 6
Even Nothing Means Something	p. 9
Old Number Systems Still Influence Us	p. 10
Chapter Test 1	p. 14
Answers and Explanations to Chapter Test 1	p. 15
Answers to Pretest and Practice Exercises	p. 17
It All Adds Up!	p. 19
Pretest 2A	p. 19
Whole Numbers	p. 21
The Language of Addition	p. 21
Help from the Number Line	p. 25
Nothing Is Still Important	p. 29
Unequal Place Addition	p. 30
No Addition Problem Is Long	p. 31
Word Problems	p. 32
Chapter Test 2A	p. 34
Answers to Chapter Test 2A	p. 35
Answers to Pretest 2A and Practice Exercises	p. 36
Pretest 2B	p. 38
Every Number Has Its Place	p. 40
Place Value and Column Addition	p. 41
Longer Columns of Numbers	p. 46
When the Columns Are Broken	p. 47
Know the Combinations	p. 49
More Difficult Word Problems Requiring Addition	p. 52
More Problems with Addition	p. 54
Chapter Test 2B	p. 57
Answers and Explanations to Chapter Test 2B	p. 58
Answers to Pretest 2B and Practice Exercises	p. 60
Take It Away! Subtraction	p. 63
Pretest 3	p. 63
What Happens in Subtraction?	p. 65
The Language of Subtraction	p. 66
Help from the Number Line	p. 71
Unequal Place Subtraction	p. 72
Word Problems	p. 73
Subtraction by Addition	p. 74
Numbers Can Be Exchanged	p. 76
Exchanging in Subtraction	p. 78
More Difficult Word Problems Requiring Subtraction	p. 83
Chapter Test 3	p. 85
Answers and Explanations to Chapter Test 3	p. 86
Answers to Pretest and Practice Exercises	p. 89
Remember Those Times? Multiplication	p. 93
Pretest 4	p. 93
Multiplication Is Repeated Addition	p. 95
Help from the Number Line	p. 97
Multiplying Whole Numbers	p. 100
Those Old Combinations Again	p. 102
Multiplying by a One-Digit Number	p. 104
Word Problems	p. 109
Multiplying by a Number Having Two or More Digits	p. 110
Multiplication Applied to Measuring	p. 114
More Difficult Word Problems Requiring Multiplication	p. 119
Chapter Test 4	p. 121
Answers and Explanations to Chapter Test 4	p. 122
Answers to Pretest and Practice Exercises	p. 125
Let's Divide It Up!	p. 131
Pretest 5	p. 131
What Is Division?	p. 133
The Language of Division	p. 134
You Still Need Those Combinations	p. 135
Help from the Number Line	p. 137
Dividing by a One-Digit Number	p. 139
When the Quotient Contains Fewer Places Than the Dividend	p. 142
Zero as a Place Holder	p. 143
Dividing and Leaving a Remainder	p. 145
Carrying Remainders	p. 146
Word Problems Requiring Division	p. 149
Dividing by More Than a One-Digit Number	p. 150
More Difficult Word Problems Requiring Division	p. 155
Mean, Median, and Mode	p. 156
Division Applied to Area Measurement	p. 158
Chapter Test 5	p. 158
Answers and Explanations to Chapter Test 5	p. 159
Answers to Pretest and Practice Exercises	p. 163
The Important Parts-Fractions	p. 169
Pretest 6	p. 169
What Is a Fraction?	p. 172
The Language of a Fraction	p. 175
What Kinds of Fractions Are There?	p. 176
Simplifying Fractions	p. 178
Equivalent Fractions	p. 182
Which Fraction Is Larger or Smaller?	p. 185
Changing Improper Fractions to Mixed Numbers	p. 189
Changing Mixed Numbers to Improper Fractions	p. 192
Chapter Test 6	p. 195
Answers and Explanations to Chapter Test 6	p. 197
Answers to Pretest and Practice Exercises	p. 198
Piece by Piece-Adding Fractions	p. 201
Pretest 7	p. 201
Fractions Can Be Added	p. 204
After Adding, What Next?	p. 206
Fractions Whose Sum Is One	p. 207
Fractions Whose Sum Is Greater Than One	p. 208
Mixed Numbers Can Also Be Added	p. 210
Mixed Numbers Whose Sum May Be Simplified	p. 211
Mixed Numbers Whose Fractional Parts Add Up to One	p. 212
Mixed Numbers with Fractional Parts Whose Sum Is Greater Than One	p. 214
Word Problems	p. 215
What About Those Denominators?	p. 217
Mixing Them All Up	p. 219
More Difficult Word Problems	p. 222
Chapter Test 7	p. 224
Answers and Explanations to Chapter Test 7	p. 225
Answers to Pretest and Practice Exercises	p. 228
Subtracting Fractions	p. 235
Pretest 8	p. 235
Subtracting Fractions	p. 237
After Subtracting, What Next?	p. 240
Like Fractions Whose Difference Is One or Greater Than One	p. 241
Mixed Numbers Can Also Be Subtracted	p. 242
Exchanging in Subtracting Fractions	p. 244
Exchanging in Subtracting Mixed Numbers (Like Denominators)	p. 246
Word Problems	p. 248
Subtracting Fractions with Unlike Denominators	p. 249
Subtracting Mixed Numbers	p. 252
Exchanging in Subtracting Mixed Numbers (Unlike Denominators)	p. 253
More Difficult Word Problems	p. 256
Chapter Test 8	p. 258
Answers and Explanations to Chapter Test 8	p. 259
Answers to Pretest and Practice Exercises	p. 261
Multiplying and Dividing Fractions	p. 269
Pretest 9A	p. 269
The Product of Two Fractions	p. 271
Cancellation	p. 272
Finding Parts of Whole Numbers	p. 274
Multiplying Three or More Fractions	p. 276
Multiplying Mixed Numbers	p. 277
Word Problems	p. 279
Chapter Test 9A	p. 283
Answers and Explanations to Chapter Test 9A	p. 284
Answers to Pretest 9A and Practice Exercises	p. 285
Pretest 9B	p. 288
The Quotient of Two Fractions	p. 290
Dividing Mixed Numbers	p. 293
Word Problems	p. 296
Chapter Test 9B	p. 298
Answers and Explanations to Chapter Test 9B	p. 299
Answers to Pretest 9B and Practice Exercises	p. 301
What's the Point? Decimals	p. 305
Pretest 10	p. 305
Introducing Decimals	p. 308
Reading and Writing Decimals	p. 312
Which Fraction Equals Which Decimal?	p. 314
Comparing Decimals	p. 315
Rounding Off Decimals	p. 318
Chapter Test 10	p. 321
Answers and Explanations to Chapter Test 10	p. 322
Answers to Pretest and Practice Exercises	p. 323
Adding and Subtracting Decimals	p. 327
Pretest 11A	p. 327
Adding Decimals	p. 329
Adding Mixed Decimals	p. 332
Word Problems Requiring the Addition of Decimals	p. 334
Chapter Test 11A	p. 337
Answers and Explanations to Chapter Test 11A	p. 338
Answers to Pretest 11A and Practice Exercises	p. 339
Pretest 11B	p. 341
Subtracting Decimals	p. 343
Subtracting Mixed Decimals	p. 345
Word Problems Requiring the Subtraction of Decimals	p. 348
Chapter Test 11B	p. 350
Answers and Explanations to Chapter Test 11B	p. 351
Answers to Pretest 11B and Practice Exercises	p. 353
Multiplying Decimals	p. 355
Pretest 12	p. 355
Multiplying a Decimal by a Whole Number	p. 357
Multiplying Decimal Numbers	p. 359
Special Multipliers of 10, 100, 1,000, and so on	p. 362
Word Problems Requiring the Multiplication of Decimals	p. 364
Chapter Test 12	p. 366
Answers and Explanations to Chapter Test 12	p. 367
Answers to Pretest and Practice Exercises	p. 368
Dividing Decimals	p. 371
Pretest 13	p. 371
Dividing a Decimal by a Whole Number	p. 373
Zero As a Place Holder in the Quotient	p. 375
Changing a Fraction into a Decimal	p. 377
Dividing a Decimal by a Decimal	p. 380
Zero As a Place Holder in the Dividend	p. 382
Word Problems Requiring the Division of Decimals	p. 384
Special Divisors of 10, 100, 1,000, and so on	p. 386
Changing a Decimal into a Fraction	p. 387
Rewriting Decimals with Fractions	p. 391
Word Problems Combining Fractions and Decimals	p. 392
Chapter Test 13	p. 396
Answers and Explanations to Chapter Test 13	p. 398
Answers to Pretest and Practice Exercises	p. 400
Percents	p. 405
Pretest 14	p. 405
Meaning of Percent	p. 407
Changing Percents to Decimals	p. 410
Changing Decimals to Percents	p. 412
Changing Percents to Fractions	p. 414
Changing Fractions to Percents	p. 415
Finding a Percent of a Number	p. 418
Finding the Percent That One Number Is of Another	p. 421
Finding a Number When a Percent of It is Known	p. 425
Chapter Test 14	p. 429
Answers and Explanations to Chapter Test 14	p. 430
Answers to Pretest and Practice Exercises	p. 432
Measurement	p. 435
Pretest 15	p. 435
Units of Measurement	p. 437
Adding Measures	p. 438
Subtracting Measures	p. 439
Multiplying Measures	p. 441
Dividing Measures	p. 443
Word Problems Requiring Measures	p. 444
Converting Metric Measures	p. 445
Chapter Test 15	p. 448
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