Elementary Technical Mathematics Tenh Edition
Buku ini diterbitkan oleh Brooks/Cole, Cengage Learning Tahun 2011 merupakan buku edisi Sepuluh.
Judul: Elementary Technical Mathematics Tenh Edition
Oleh: Dale Ewen, et al
Penerbit: Brooks/Cole, Cengage Learning
Tahun: 2011
Jumlah Halaman: 651 hal.
Penulis:
Dale Ewen
Parkland Community College
C. Robert Nelson
Champaign Centennial High School
Lingkup Pembahasan:
Buku ini ditujukan untuk teknis, perdagangan, lembaga kesehatan, atau Tech Prep program. Buku ini ditulis untuk siswa yang berencana untuk belajar keterampilan teknis, tetapi yang memiliki latar belakang minimal dalam matematika atau membutuhkan penjelasan rinci untuk menjadi mahir dalam sebagian besar program teknis, siswa harus belajar keterampilan dasar matematika. Untuk itu, Bab 1 hingga 4 berisi penjelasan lengkap tentang operasi aritmatika dasar, pecahan, desimal, persen, sistem metrik, dan angka sebagai pengukuran.
Bab 5 sampai 11 mengemukakan aljabar yang dibutuhkan dalam program teknis dan perdagangan.
Esensi hubungan-geometri dan formula untuk dua pokok bahasan yang paling umum dan tiga-dimensi yang diberikan secara rinci dalam Bab 12. Bab 13 dan 14 mengemukakan sebuah studi singkat tapi intensif trigonometri yang mencakup segitiga trigonometri sebagai segitiga miring dan grafik. Konsep statistik yang paling penting untuk bidang teknik dibahas dalam Bab 15. Pengantar biner dan heksadesimal angka ditemukan dalam Bab 16
Buku ini ditulis disesuaikan dengan tingkat teknis pembacaan kebanyakan siswa. Buku ini memuat visual gambar merangsang proses pemecahan masalah. Kami menekankan bahwa keterampilan ini sangat penting untuk keberhasilan dalam kursus teknis.
Daftar Isi:
List of Applications ix
Preface xiii
1 Basic Concepts 1
Unit 1A REVIEW OF OPERATIONS WITH WHOLE NUMBERS 2
1.1 Review of Basic Operations 2
1.2 Order of Operations 11
1.3 Area and Volume 14
1.4 Formulas 19
1.5 Prime Factorization Divisibility 23
Unit 1A: Review 27
Unit 1B REVIEW OF OPERATIONS WITH FRACTIONS 27
1.6 Introduction to Fractions 27
1.7 Addition and Subtraction of Fractions 33
1.8 Multiplication and Division of Fractions 45
1.9 The U.S. System of Weights and Measures 53
Unit 1B: Review 56
Unit 1C REVIEW OF OPERATIONS WITH DECIMAL FRACTIONS AND PERCENT 57
1.10 Addition and Subtraction of Decimal Fractions 57
1.11 Rounding Numbers 66
1.12 Multiplication and Division of Decimal Fractions 69
1.13 Percent 75
1.14 Rate, Base, and Part 80
1.15 Powers and Roots 89
1.16 Applications Involving Percent: Personal Finance (Optional) 93
Unit 1C: Review 97
Chapter 1: Group Activities 98
Chapter 1: Summary 99
Chapter 1: Review 102
Chapter 1: Test 104
2 Signed Numbers and Powers of 10 107
2.1 Addition of Signed Numbers 108
2.2 Subtraction of Signed Numbers 112
2.3 Multiplication and Division of Signed Numbers 114
2.4 Signed Fractions 117
2.5 Powers of 10 122
2.6 Scientific Notation 125
2.7 Engineering Notation 131
Chapter 2: Group Activities 134
Chapter 2: Summary 134
Chapter 2: Review 136
Chapter 2: Test 137
Chapter 1-2: Cumulative Review 138
3 The Metric System 139
3.1 Introduction to the Metric System 140
3.2 Length 143
3.3 Mass and Weight 146
3.4 Volume and Area 148
3.5 Time, Current, and Other Units 152
3.6 Temperature 154
3.7 Metric and U.S. Conversion 156
Chapter 3: Group Activities 161
Chapter 3: Summary 161
Chapter 3: Review 162
Chapter 3: Test 163
4 Measurement 165
4.1 Approximate Numbers and Accuracy 166
4.2 Precision and Greatest Possible Error 169
4.3 The Vernier Caliper 173
4.4 The Micrometer Caliper 181
4.5 Addition and Subtraction of Measurements 189
4.6 Multiplication and Division of Measurements 193
4.7 Relative Error and Percent of Error 196
4.8 Color Code of Electrical Resistors 200
4.9 Reading Scales 204
Chapter 4: Group Activities 213
Chapter 4: Summary 213
Chapter 4: Review 214
Chapter 4: Test 216
Chapter 1-4: Cumulative Review 217
5 Polynomials: An Introduction to Algebra 219
5.1 Fundamental Operations 220
5.2 Simplifying Algebraic Expressions 222
5.3 Addition and Subtraction of Polynomials 226
5.4 Multiplication of Monomials 230
5.5 Multiplication of Polynomials 232
5.6 Division by a Monomial 234
5.7 Division by a Polynomial 236
Chapter 5: Group Activities 239
Chapter 5: Summary 239
Chapter 5: Review 241
Chapter 5: Test 241
6 Equations and Formulas 243
6.1 Equations 244
6.2 Equations with Variables in Both Members 249
6.3 Equations with Parentheses 251
6.4 Equations with Fractions 254
6.5 Translating Words into Algebraic Symbols 259
6.6 Applications Involving Equations 260
6.7 Formulas 265
6.8 Substituting Data into Formulas 268
6.9 Reciprocal Formulas Using a Calculator 272
Chapter 6: Group Activities 275
Chapter 6: Summary 275
Chapter 6: Review 276
Chapter 6: Test 277
Chapter 1-6: Cumulative Review 278
7 Ratio and Proportion 279
7.1 Ratio 280
7.2 Proportion 284
7.3 Direct Variation 290
7.4 Inverse Variation 295
Chapter 7: Group Activities 299
Chapter 7: Summary 299
Chapter 7: Review 300
Chapter 7: Test 301
8 Graphing Linear Equations 303
8.1 Linear Equations with Two Variables 304
8.2 Graphing Linear Equations 310
8.3 The Slope of a Line 317
8.4 The Equation of a Line 323
Chapter 8: Group Activities 328
Chapter 8: Summary 329
Chapter 8: Review 330
Chapter 8: Test 331
Chapter 1-8: Cumulative Review 332
9 Systems of Linear Equations 333
9.1 Solving Pairs of Linear Equations by Graphing 334
9.2 Solving Pairs of Linear Equations by Addition 340
9.3 Solving Pairs of Linear Equations by Substitution 345
9.4 Applications Involving Pairs of Linear Equations 347
Chapter 9: Group Activities 353
Chapter 9: Summary 354
Chapter 9: Review 355
Chapter 9: Test 356
10 Factoring Algebraic Expressions 357
10.1 Finding Monomial Factors 358
10.2 Finding the Product of Two Binomials Mentally 360
10.3 Finding Binomial Factors 362
10.4 Special Products 365
10.5 Finding Factors of Special Products 367
10.6 Factoring General Trinomials 369
Chapter 10: Group Activities 372
Chapter 10: Summary 372
Chapter 10: Review 373
Chapter 10: Test 373
Chapter 1-10: Cumulative Review 374
11 Quadratic Equations 375
11.1 Solving Quadratic Equations by Factoring 376
11.2 The Quadratic Formula 379
11.3 Applications Involving Quadratic Equations 381
11.4 Graphs of Quadratic Equations 386
11.5 Imaginary Numbers 390
Chapter 11: Group Activities 393
Chapter 11: Summary 393
Chapter 11: Review 394
Chapter 11: Test 395
12 Geometry 397
12.1 Angles and Polygons 398
12.2 Quadrilaterals 405
12.3 Triangles 410
12.4 Similar Polygons 419
12.5 Circles 423
12.6 Radian Measure 430
12.7 Prisms 435
12.8 Cylinders 441
12.9 Pyramids and Cones 446
12.10 Spheres 453
Chapter 12: Group Activities 455
Chapter 12: Summary 456
Chapter 12: Review 460
Chapter 12: Test 462
Chapter 1-12: Cumulative Review 463
13 Right Triangle Trigonometry 465
13.1 Trigonometric Ratios 466
13.2 Using Trigonometric Ratios to Find Angles 470
13.3 Using Trigonometric Ratios to Find Sides 473
13.4 Solving Right Triangles 474
13.5 Applications Involving Trigonometric Ratios 476
Chapter 13: Group Activities 484
Chapter 13: Summary 485
Chapter 13: Review 486
Chapter 13: Test 487
14 Trigonometry with Any Angle 489
14.1 Sine and Cosine Graphs 490
14.2 Period and Phase Shift 496
14.3 Solving Oblique Triangles: Law of Sines 500
14.4 Law of Sines: The Ambiguous Case 503
14.5 Solving Oblique Triangles: Law of Cosines 509
Chapter 14: Group Activities 514
Chapter 14: Summary 515
Chapter 14: Review 516
Chapter 14: Test 516
Chapter 1-14: Cumulative Review 517
15 Basic Statistics 519
15.1 Bar Graphs 520
15.2 Circle Graphs 523
15.3 Line Graphs 526
15.4 Other Graphs 529
15.5 Mean Measurement 530
15.6 Other Average Measurements and Percentiles 532
15.7 Range and Standard Deviation 535
15.8 Grouped Data 537
15.9 Standard Deviation for Grouped Data 544
15.10 Statistical Process Control 546
15.11 Other Graphs for Statistical Data 550
15.12 Normal Distribution 553
15.13 Probability 556
15.14 Independent Events 558
Chapter 15: Group Activities 559
Chapter 15: Summary 560
Chapter 15: Review 562
Chapter 15: Test 563
16 Binary and Hexadecimal Numbers 565
16.1 Introduction to Binary Numbers 566
16.2 Addition of Binary Numbers 568
16.3 Subtraction of Binary Numbers 569
16.4 Multiplication of Binary Numbers 571
16.5 Conversion from Decimal to Binary System 572
16.6 Conversion from Binary to Decimal System 573
16.7 Hexadecimal System 574
16.8 Addition and Subtraction of Hexadecimal Numbers 576
16.9 Binary to Hexadecimal Conversion 579
16.10 Hexadecimal Code for Colors 581
Chapter 16: Group Activities 582
Chapter 16: Summary 583
Chapter 16: Review 584
Chapter 16: Test 584
Chapter 1-16: Cumulative Review 585
Appendixes
Appendix A: Tables 587
Table 1: Formulas from Geometry 587
Table 2: Electrical Symbols 589
Appendix B: Exponential Equations 591
Appendix C: Answers to Odd-Numbered Exercises and All Chapter Review and Cumulative Review Exercises 597
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