Practical Problems in Mathematics for

Success in the electronics field requires a substantial background in mathematics. This updated book is written to provide beginning students with these needed skills. Practical, easy-to-understand problems help prepare students for the types of problems that professional electronic technicians face everyday. As part of the successful Practical Problems in Mathematics series, this fourth edition features expanded coverage of scientific notation, increased problems to be solved using a calculator, additional information on RLC circuits, and a new unit on simultaneous equations that includes coverage of Kirchoff's Law.

PREFACE

vii

SECTION 1 WHOLE NUMBERS

1

(27)

Unit 1 Addition of Whole Numbers

1

(5)

Unit 2 Subtraction of Whole Numbers

6

(8)

Unit 3 Multiplication of Whole Numbers

14

(5)

Unit 4 Division of Whole Numbers

19

(5)

Unit 5 Combined Operations with Whole Numbers

24

(4)

SECTION 2 COMMON FRACTIONS

28

(25)

Unit 6 Addition of Common Fractions

28

(8)

Unit 7 Subtraction of Common Fractions

36

(5)

Unit 8 Multiplication of Common Fractions

41

(5)

Unit 9 Division of Common Fractions

46

(3)

Unit 10 Combined Operations with Common Fractions

49

(4)

SECTION 3 DECIMAL FRACTIONS

53

(31)

Unit 11 Rounding Numbers

53

(3)

Unit 12 Conversion of Common and Decimal Fractions

56

(4)

Unit 13 Addition of Decimal Fractions

60

(5)

Unit 14 Subtraction of Decimal Fractions

65

(5)

Unit 15 Multiplication of Decimal Fractions

70

(4)

Unit 16 Division of Decimal Fractions

74

(5)

Unit 17 Combined Operations with Decimal Fractions

79

(5)

SECTION 4 EXPONENTS, ELECTRONICS UNITS, AND ROOTS

84

(21)

Unit 18 Exponents

84

(3)

Unit 19 Scientific Notation

87

(5)

Unit 20 Equivalent Electronic Units

92

(4)

Unit 21 Operations with Electronic Units

96

(5)

Unit 22 Roots

101

(4)

SECTION 5 FORMULAS, OHM'S LAW, AND POWER LAW

105

(27)

Unit 23 Equations

105

(7)

Unit 24 Formulas

112

(7)

Unit 25 Ohm's Law

119

(5)

Unit 26 Power Law

124

(3)

Unit 27 Combination Ohm's Law and Power Law Problems

127

(5)

SECTION 6 RATIO AND PROPORTION

132

(8)

Unit 28 Ratio

132

(3)

Unit 29 Proportion

135

(5)

SECTION 7 MEASUREMENT AND GRAPHS

140

(15)

Unit 30 Linear Measure

140

(5)

Unit 31 Surface and Volume Measure

145

(4)

Unit 32 Graphs

149

(6)

SECTION 8 PERCENTAGES, AVERAGES, AND TOLERANCES

155

(12)

Unit 33 Percentages and Averages

155

(4)

Unit 34 Tolerances and Color Code

159

(8)

SECTION 9 AC CIRCUITS

167

(52)

Unit 35 Right Triangles

167

(4)

Unit 36 Trigonometric Functions

171

(8)

Unit 37 Plane Vectors

179

(11)

Unit 38 Inductive Circuits and RL Circuits

190

(4)

Unit 39 Capacitive Circuits and RC Circuits

194

(5)

Unit 40 RLC Circuits

199

(8)

Unit 41 Simultaneous Equations

207

(12)

APPENDIX

219

(1016)

Section I DENOMINATE NUMBERS

219

(5)

Section II UNITS AND TABLES OF ELECTRONIC MEASUREMENT

224

(5)

Section III ELECTRONIC SYMBOLS AND FORMULAS

229

(3)

Section IV MATHEMATICAL REFERENCE TABLES

232

(1003)

GLOSSARY

1235

ANSWERS TO ODD-NUMBERED PRACTICAL PROBLEMS

238

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Practical Problems in Mathematics for Electronic Technicians

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