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9780130305473

Mathematics for the Trades: A Guided Approach

by ;
  • ISBN13:

    9780130305473

  • ISBN10:

    0130305472

  • Edition: 6th
  • Format: Paperback
  • Copyright: 2002-01-01
  • Publisher: Pearson College Div
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Summary

For Basic Math, Math for the Trades, Occupational Math, and similar basic math skills courses offered by trade or technical departments at the undergraduate/graduate level. Now in its sixth edition, Mathematics for the Trades provides the practical mathematical skills needed in a wide variety of trade and technical areas, including electronics, auto mechanics, construction trades, air conditioning, machine technology, welding, and drafting. The authors use a clear and easy to follow format which provides immediate feedback for each step the student takes to ensure understanding and continued attention. There is an emphasis on explaining concepts rather than simply presenting them.

Table of Contents

Preface viii
How to Use This Book xii
Arithmetic of Whole Numbers
Preview 1
1(2)
Working with Whole Numbers
3(13)
Expanded Form
4(2)
Addition of Whole Numbers
6(1)
Rounding Whole Numbers
7(2)
Estimating
9(7)
Subtraction of Whole Numbers
16(8)
Multiplication of Whole Numbers
24(9)
Multiplying by Zero and One
25(1)
Multiplying by Larger Numbers
26(3)
Two-Digit Multiplications
29(4)
Division of Whole Numbers
33(10)
Factors
38(1)
Primes
39(1)
Prime Factors
39(4)
Order of Operations
43(14)
Problem Set 1
47(2)
Using a Calculator, I: Whole-Number Calculations
49(6)
Fractions
Preview 2
55(2)
Working with Fractions
57(11)
Numerator
58(1)
Denominator
58(1)
Proper Fraction
59(1)
Improper Fraction
59(1)
Mixed Numbers
60(2)
Equivalent Fractions
62(1)
Writing in Lowest Terms
63(3)
Comparing Fractions
66(2)
Multiplication of Fractions
68(5)
Division of Fractions
73(6)
Reciprocal
74(5)
Addition and Subtraction of Fractions
79(20)
Addition
79(1)
Like Fractions
80(1)
Unlike Fractions
81(1)
Least Common Denominator
81(6)
Subtraction
87(4)
Using a Calculator, II: Fractions
91(2)
Problem Set 2
93(4)
Decimal Numbers
Preview 3
97(2)
Addition and Subtraction of Decimals
99(11)
Place Value of Decimal Numbers
99(2)
Expanded Form
101(1)
Decimal Digits
102(1)
Addition
103(3)
Subtraction
106(4)
Multiplication and Division of Decimal Numbers
110(15)
Multiplication
111(3)
Division
114(5)
Rounding Decimal Numbers
119(2)
Rounding During Division
121(1)
Averages
121(4)
Decimal Fractions
125(20)
Repeating Decimals
128(1)
Terminating Decimals
129(1)
Decimal-Fraction Equivalents
130(5)
Problem Set 3
135(4)
Using a Calculator, III: Decimals
139(2)
Ratio, Proportion, and Percent
Preview 4
141(4)
Ratio and Proportion
145(12)
Ratio
145(3)
Simple Equations
148(1)
Proportions
149(4)
Problem Solving Using Proportions
153(4)
Introduction to Percent
157(9)
Changing Decimal Numbers to Percents
159(1)
Changing Fractions to Percents
160(2)
Changing Percents to Decimal Numbers
162(1)
Changing Percents to Fractions
163(3)
Percent Problems
166(8)
When P Is Unknown
166(3)
When R Is Unknown
169(1)
When B Is Unkown
170(4)
Applications of Percent Calculations
174(20)
Discount
174(5)
Sales Tax
179(1)
Interest
180(2)
Commission
182(3)
Efficiency
185(1)
Tolerances
185(3)
Percent Change
188(6)
Applications of Ratio and Proportion
194(23)
Scale Drawings
195(2)
Similar Figures
197(1)
Direct and Inverse Proportion
198(3)
Gears and Pulleys
201(8)
Problem Set 4
209(6)
Measurement
Preview 5
215(2)
Working with Measurement Numbers
217(14)
Units
217(1)
Significant Digits
218(1)
Precision and Accuracy
219(2)
Addition and Subtraction of Measurement Numbers
221(2)
Multiplication and Division of Measurement Numbers
223(3)
Rounding Products and Quotients
226(1)
Decimal Equivalents
227(4)
English Units and Unit Conversion
231(14)
Unity Fractions
233(4)
Compound Units
237(1)
Area
238(1)
Volume
239(3)
Speed
242(3)
Metric Units
245(17)
Length
245(4)
Weight
249(3)
Area
252(1)
Volume
253(2)
Speed
255(1)
Temperature
256(6)
Direct Measurements
262(29)
Length Measurements
262(4)
Micrometers
266(4)
Vernier Micrometers
270(2)
Vernier Calipers
272(3)
Protractors
275(2)
Meters
277(2)
Gauge Blocks
279(6)
Problem Set 5
285(4)
Pre-Algebra
Preview 6
289(2)
Addition of Signed Numbers
291(9)
The Meaning of Signed Numbers
291(2)
Addition of Signed Numbers
293(2)
Absolute Value
295(5)
Subtraction of Signed Numbers
300(5)
Opposites
300(1)
Subtraction of Signed Numbers
300(5)
Multiplication and Division of Signed Numbers
305(4)
Multiplication of Signed Numbers
305(1)
Rules for Multiplication
305(1)
Division of Signed Numbers
306(3)
Exponents and Square Roots
309(18)
Exponents
309(3)
Order of Operations with Exponents
312(1)
Square Roots
313(6)
Problem Set 6
319(4)
Basic Algebra
Preview 7
323(4)
Algebraic Language and Formulas
327(11)
Multiplication
327(1)
Parentheses
328(1)
Division
328(1)
Algebraic Expressions
329(1)
Evaluating Formulas
330(8)
Adding and Subtracting Algebraic Expressions
338(7)
Combining Like Terms
338(2)
Expressions with Parentheses
340(5)
Solving Simple Equations
345(10)
Solution
345(1)
Equivalent Equations
346(1)
Solving Equations
347(8)
Solving Equations Involving Two Operations
355(8)
Solving More Equations and Formulas
363(16)
Parentheses in Equations
363(4)
Variable on Both Sides
367(5)
Solving Formulas
372(7)
Solving Word Problems
379(10)
Translating English to Algebra
379(3)
Translating Sentences to Equations
382(2)
General Word Problems
384(5)
Multiplying and Dividing Algebraic Expressions
389(5)
Multiplying Simple Factors
389(1)
Rule for Multiplication
390(1)
Dividing Simple Factors
391(1)
Negative Exponents
392(2)
Scientific Notation
394(17)
Definition of Scientific Notation
394(1)
Converting to Scientific Notation
395(1)
Converting from Scientific Notation to Decimal Form
396(1)
Multiplying and Dividing in Scientific Notation
397(6)
Problem Set 7
403(6)
Practical Plane Geometry
Preview 8
409(2)
Angle Measurement
411(12)
Labeling Angles
411(2)
Measuring Angles
413(1)
Classifying Angles
413(2)
Drawing Angles
415(1)
Angle Facts
416(7)
Area and Perimeter of Polygons
423(15)
Polygons
423(1)
Perimeter
424(1)
Quadrilaterals
425(2)
Rectangles
427(3)
Squares
430(1)
Parallelograms
431(3)
Trapezoids
434(4)
Triangles, Hexagons, and Irregular Polygons
438(20)
Types of Triangles
438(2)
Pythagorean Theorem
440(3)
Area of a Triangle
443(5)
Hexagons
448(4)
Irregular Polygons
452(6)
Circles
458(21)
Circumference
458(2)
Parts of Circles
460(2)
Area of a Circle
462(2)
Rings
464(7)
Problem Set 8
471(6)
Solid Figures
Preview 9
477(2)
Prisms
479(10)
Surface Area and Volume
481(2)
Volume Conversion
483(6)
Pyramids and Frustums of Pyramids
489(8)
Pyramids
489(4)
Frustum of a Pyramid
493(4)
Cylinders and Spheres
497(8)
Cylinders
497(4)
Spheres
501(4)
Cones and Frustums of Cones
505(18)
Cones
505(3)
Frustum of a Cone
508(7)
Problem Set 9
515(4)
Triangle Trigonometry
Preview 10
519(4)
Angles and Triangles
523(14)
Angle Measurement
524(2)
Radian Measure
526(1)
Sectors
527(1)
Linear and Angular Speed
528(1)
Right Triangles
529(1)
Pythagorean Theorem
530(1)
Special Right Triangles
531(6)
Trigonometric Ratios
537(10)
Sine Ratio
539(2)
Cosine Ratio
541(1)
Tangent Ratio
542(2)
Finding Values of Trigonometric Functions
544(1)
Angles in Degrees and Minutes
545(1)
Finding the Angle
545(2)
Solving Right Triangles
547(8)
Oblique Triangles (Optional)
555(20)
Oblique Triangles
555(1)
Law of Sines
556(6)
Law of Cosines
562(7)
Problem Set 10
569(4)
Advanced Algebra
Preview II
573(2)
Systems of Equations
575(21)
Solution by Substitution
577(3)
Dependent and Inconsistent Systems
580(2)
Solution by Elimination
582(3)
Multiplication with the Elimination Method
585(4)
Multiplying Both Equations
589(2)
Word Problems
591(5)
Quadratic Equations
596(17)
Standard Form
597(1)
Solutions to Quadratic Equations
598(1)
Solving x2 - a = 0
599(2)
Quadratic Formula
601(4)
Word Problems and Quadratic Equations
605(6)
Problem Set II
611(2)
Answers to Previews 613(3)
Answers 616(35)
Index 651(5)
Index of Applications 656

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