Fundamentals of Mathematics

Front Cover......Page 1
Title Page......Page 5
Copyright......Page 6
CONTENTS......Page 9
TO THE STUDENT......Page 13
TO THE INSTRUCTOR......Page 17
APPLICATION......Page 29
GOOD ADVICE FOR STUDYING: Strategies for Success......Page 28
1.1 Whole Numbers and Tables: Writing, Rounding, and Inequalities......Page 30
1.2 Adding and Subtracting Whole Numbers......Page 45
GETTING READY FOR ALGEBRA......Page 61
1.3 Multiplying Whole Numbers......Page 67
1.4 Dividing Whole Numbers......Page 81
GETTING READY FOR ALGEBRA......Page 91
1.5 Whole-Number Exponents and Powers of 10......Page 97
1.6 Order of Operations......Page 105
GETTING READY FOR ALGEBRA......Page 113
1.7 Average, Median, and Mode......Page 119
1.8 Drawing and Interpreting Graphs......Page 129
KEY CONCEPTS......Page 145
REVIEW EXERCISES......Page 149
TRUE/FALSE CONCEPT REVIEW......Page 153
TEST......Page 155
GROUP PROJECT......Page 159
APPLICATION......Page 161
GOOD ADVICE FOR STUDYING: New Habits from Old......Page 160
2.1 Divisibility Tests......Page 163
2.2 Multiples......Page 171
2.3 Divisors and Factors......Page 179
2.4 Primes and Composites......Page 187
2.5 Prime Factorization......Page 195
2.6 Least Common Multiple......Page 203
KEY CONCEPTS......Page 211
REVIEW EXERCISES......Page 213
TRUE/FALSE CONCEPT REVIEW......Page 217
TEST......Page 219
GROUP PROJECT......Page 221
APPLICATION......Page 223
GOOD ADVICE FOR STUDYING: Managing Anxiety......Page 222
3.1 Proper and Improper Fractions; Mixed Numbers......Page 224
3.2 Simplifying Fractions......Page 237
3.3 Multiplying and Dividing Fractions......Page 245
3.4 Multiplying and Dividing Mixed Numbers......Page 257
GETTING READY FOR ALGEBRA......Page 265
3.5 Building Fractions; Listing in Order; Inequalities......Page 269
3.6 Adding Fractions......Page 279
3.7 Adding Mixed Numbers......Page 287
3.8 Subtracting Fractions......Page 297
3.9 Subtracting Mixed Numbers......Page 305
GETTING READY FOR ALGEBRA......Page 315
3.10 Order of Operations; Average......Page 319
KEY CONCEPTS......Page 329
REVIEW EXERCISES......Page 333
TRUE/FALSE CONCEPT REVIEW......Page 341
TEST......Page 343
GROUP PROJECT......Page 347
CUMULATIVE REVIEW CHAPTERS 1–3......Page 349
APPLICATION......Page 355
GOOD ADVICE FOR STUDYING: Planning Makes Perfect......Page 354
4.1 Decimals: Reading, Writing, and Rounding......Page 356
4.2 Changing Decimals to Fractions; Listing in Order......Page 369
4.3 Adding and Subtracting Decimals......Page 377
GETTING READY FOR ALGEBRA......Page 387
4.4 Multiplying Decimals......Page 391
4.5 Multiplying and Dividing by Powers of 10; Scientific Notation......Page 399
4.6 Dividing Decimals; Average, Median, and Mode......Page 409
GETTING READY FOR ALGEBRA......Page 423
4.7 Changing Fractions to Decimals......Page 427
4.8 Order of Operations; Estimating......Page 435
GETTING READY FOR ALGEBRA......Page 445
KEY CONCEPTS......Page 449
REVIEW EXERCISES......Page 453
TRUE/FALSE CONCEPT REVIEW......Page 457
TEST......Page 459
GROUP PROJECT......Page 461
APPLICATION......Page 463
GOOD ADVICE FOR STUDYING: Learning to Learn Math......Page 462
5.1 Ratio and Rate......Page 464
5.2 Solving Proportions......Page 475
5.3 Applications of Proportions......Page 483
KEY CONCEPTS......Page 493
REVIEW EXERCISES......Page 495
TRUE/FALSE CONCEPT REVIEW......Page 497
TEST......Page 499
GROUP PROJECT......Page 501
CUMULATIVE REVIEW CHAPTERS 1–5......Page 503
APPLICATION......Page 509
GOOD ADVICE FOR STUDYING: Preparing for Tests......Page 508
6.1 The Meaning of Percent......Page 510
6.2 Changing Decimals to Percents and Percents to Decimals......Page 519
6.3 Changing Fractions to Percents and Percents to Fractions......Page 527
6.4 Fractions, Decimals, Percents: A Review......Page 537
6.5 Solving Percent Problems......Page 543
6.6 Applications of Percents......Page 553
6.7 Sales Tax, Discounts, and Commissions......Page 569
6.8 Interest on Loans......Page 581
KEY CONCEPTS......Page 591
REVIEW EXERCISES......Page 597
TRUE/FALSE CONCEPT REVIEW......Page 601
TEST......Page 603
GROUP PROJECT......Page 605
APPLICATION......Page 607
GOOD ADVICE FOR STUDYING: Low-Stress Tests......Page 606
7.1 Measuring Length......Page 608
7.2 Measuring Capacity, Weight, and Temperature......Page 619
7.3 Perimeter......Page 629
7.4 Area......Page 641
7.5 Volume......Page 657
7.6 Square Roots and the Pythagorean Theorem......Page 669
KEY CONCEPTS......Page 679
REVIEW EXERCISES......Page 683
TRUE/FALSE CONCEPT REVIEW......Page 687
TEST......Page 689
GROUP PROJECT......Page 693
CUMULATIVE REVIEW CHAPTERS 1–7......Page 695
APPLICATION......Page 701
GOOD ADVICE FOR STUDYING: Evaluating Your Performance......Page 700
8.1 Opposites and Absolute Value......Page 702
8.2 Adding Signed Numbers......Page 711
8.3 Subtracting Signed Numbers......Page 719
8.4 Multiplying Signed Numbers......Page 727
8.5 Dividing Signed Numbers......Page 735
8.6 Order of Operations: A Review......Page 741
8.7 Solving Equations......Page 749
KEY CONCEPTS......Page 753
REVIEW EXERCISES......Page 755
TRUE/FALSE CONCEPT REVIEW......Page 759
TEST......Page 761
GROUP PROJECT......Page 763
APPENDIX A: Calculators......Page 765
APPENDIX B: Prime Factors of Numbers 1 through 100......Page 767
APPENDIX C: Squares and Square Roots (0 to 99)......Page 769
APPENDIX D: Compound Interest Table (Factors)......Page 771
MIDTERM EXAMINATION Chapters 1–4......Page 773
FINAL EXAMINATION Chapters 1–8......Page 777
ANSWERS......Page 781
INDEX......Page 815
INDEX OF APPLICATIONS......Page 821
CONTENTS......Page 825
Login to WebAssign......Page 827
Logout......Page 829
Using Access Codes......Page 830
Customizing Your Home Page......Page 832
Changing Your Email Address......Page 833
Accessing an Assignment......Page 834
Using the Assignment Page......Page 836
Numerical Questions......Page 839
Numerical Questions with Units......Page 840
Numerical Questions with Significant Figures......Page 841
Math Notation: Using the MathPad......Page 842
Math Notation: Using the Keyboard......Page 843
Introduction......Page 844
Drawing Graph Objects......Page 845
Selecting Graph Objects......Page 846
Using Fractions or Decimals as Coordinates......Page 847
Specifying a Region with a Fill for Inequalities......Page 848
Erasing Everything on Your Graph......Page 849
Example: Graphing Question......Page 850
Communication......Page 851
GRADES......Page 852
TECHNICAL TIPS......Page 853