College Mathematics for Technology

by Cleaves, Cheryl; Hobbs, Margie; Dudenhefer, Paul

• ISBN13: 9780130861078
• ISBN10: 0130861073
• Edition: 5th
• Format: Hardcover
• Copyright: 2000-07-01
• Publisher: Pearson College Div

Summary

For Technical Math courses that do not include calculus. This text addresses curriculum and pedagogy standards that are initiatives of the American Mathematical Association of two-year Colleges (AMATYC), the National Council of Teachers of Mathematics (NCTM), and the Mathematics Association of America (MAA). It uses simplified language that appeals to a variety of student learning styles, promotes active and independent learning, and strengthens critical thinking and writing skills. A six-step approach to problem solving, numerous tips, and clear, concise explanations throughout the text enable students to understand the concepts underlying mathematical processes.

Table of Contents

Whole Numbers and Decimals	1	(77)
Whole Numbers, Decimals, and the Place-Value System	2	(17)
Adding Whole Numbers and Decimal Numbers	19	(7)
Subtracting Whole Numbers and Decimals	26	(6)
Multiplying Whole Numbers and Decimals	32	(11)
Dividing Whole Numbers and Decimals	43	(9)
Exponents, Roots, and Powers of 10	52	(7)
Order of Operations and Problem Solving	59	(19)
Integers	78	(38)
Natural Numbers, Whole Numbers, and Integers	79	(9)
Addition with Integers	88	(4)
Subtracting Integers	92	(4)
Multiplying Integers	96	(4)
Dividing Integers	100	(2)
Order of Operations	102	(14)
Fractions and Percents	116	(80)
Fraction Terminology	117	(7)
Multiples, Divisibility, and Factor Pairs	124	(4)
Prime and Composite Numbers	128	(2)
Least Common Multiple and Greatest Common Factor	130	(3)
Equivalent Fractions and Decimals	133	(6)
Improper Fractions and Mixed Numbers	139	(2)
Finding Common Denominators and Comparing Fractions and Decimals	141	(4)
Adding Fractions and Mixed Numbers	145	(4)
Subtracting Fractions and Mixed Numbers	149	(4)
Multiplying Fractions and Mixed Numbers	153	(4)
Dividing Fractions and Mixed Numbers	157	(6)
Signed Fractions and Decimals	163	(4)
Calculators with Fraction Key	167	(1)
Finding Number and Percent Equivalents	168	(28)
Problem Solving with Percents	196	(41)
The Percentage Proportion	197	(4)
Solving Percentage Problems	201	(10)
Increases and Decreases	211	(6)
Business Applications	217	(20)
Direct Measurement	237	(55)
The U.S. Customary System of Measurement	238	(10)
Adding and Subtracting U.S. Customary Measures	248	(3)
Multiplying and Dividing U.S. Customary Measures	251	(6)
Introduction to the Metric System	257	(11)
Metric-U.S. Customary Comparisons	268	(3)
Time	271	(6)
Reading Instruments Used to Measure Length	277	(15)
Area and Perimeter	292	(31)
Squares, Rectangles, and Parallelograms	293	(9)
Area and Circumference of a Circle	302	(21)
Interpreting and Analyzing Data	323	(30)
Reading Circle, Bar, and Line Graphs	324	(4)
Frequency Distributions, Histograms, and Frequency Polygons	328	(4)
Finding Statistical Measures	332	(4)
Counting Techniques and Simple Probabilities	336	(17)
Symbolic Representation	353	(33)
Rational Numbers	354	(5)
Real Numbers	359	(6)
Variable Notation	365	(7)
Function Notation	372	(14)
Linear Equations	386	(29)
Solving Basic Equations	387	(4)
Isolating the Variable in Solving Equations	391	(5)
Applying the Distributive Property in Solving Equations	396	(3)
Strategies for Problem Solving	399	(16)
Equations with Fractions and Decimals	415	(40)
Solving Equations with Fractions by Clearing the Denominators	416	(9)
Solving Equations with Decimals	425	(4)
Using Proportions to Solve Problems	429	(26)
Powers and Logarithms	455	(46)
Laws of Exponents	456	(6)
Basic Operations with Algebraic Expressions	462	(5)
Powers of 10 and Scientific Notation	467	(9)
Polynomials	476	(3)
Exponential Expressions, Equations, and Formulas	479	(5)
Logarithmic Expressions	484	(17)
Roots and Radicals	501	(29)
Roots and Notation Conventions	502	(4)
Simplifying Square-Root Expressions	506	(3)
Basic Operations with Square-Root Radicals	509	(6)
Complex and Imaginary Numbers	515	(3)
Equations with Squares and Square Roots	518	(12)
Formulas and Applications	530	(51)
Formula Evaluation	531	(4)
Formula Rearrangement	535	(4)
Temperature Formulas	539	(4)
Geometric Formulas	543	(20)
Miscellaneous Technical Formulas	563	(18)
Products and Factors	581	(31)
The Distributive Property and Common Factors	582	(2)
Multiplying Polynomials	584	(5)
Factoring Special Products	589	(3)
Factoring General Trinomials	592	(20)
Solving Quadratic and Higher-Degree Equations	612	(28)
Quadratic Equations	613	(3)
Solving Quadratic Equations Using the Quadratic Formula	616	(6)
Solving Pure Quadratic Equations: ax2 + c = 0	622	(2)
Solving Incomplete Quadratic Equations: ax2 + bx = 0	624	(2)
Solving Complete Quadratic Equations by Factoring	626	(2)
Selecting an Appropriate Method for Solving Quadratic Equations	628	(2)
Solving Higher-Degree Equations by Factoring	630	(10)
Rational Expressions	640	(25)
Simplifying Rational Expressions	641	(4)
Multiplying and Dividing Rational Expressions	645	(3)
Adding and Subtracting Rational Expressions	648	(4)
Solving Equations with Rational Expressions	652	(13)
Inequalities and Absolute Values	665	(36)
Inequalities and Sets	666	(3)
Solving Simple Linear Inequalities	669	(4)
Compound Inequalies	673	(7)
Solving Quadratic and Rational Inequalities	680	(7)
Equations Containing One Absolute-Value Term	687	(2)
Absolute-Value Inequalities	689	(12)
Graphical Representation	701	(38)
Graphical Representation of Equations	702	(6)
Linear Equations in Two Variables and Function Notation	708	(4)
Graphing Linear Equations with Two Variables	712	(7)
Graphing Linear Inequalities with Two Variables	719	(4)
Graphing Quadratic Equations and Inequalities	723	(16)
Slope and Distance	739	(34)
Slope	740	(4)
Point-Slope Form of an Equation	744	(3)
Slope-Intercept Form of an Equation	747	(4)
Parallel Lines	751	(3)
Perpendicular Lines	754	(5)
Distance and Midpoints	759	(14)
Systems of Equations and Inequalities	773	(28)
Solving Systems of Equations and Inequalities Graphically	774	(4)
Solving Systems of Equations Using the Addition Method	778	(6)
Solving Systems of Equations Using the Substitution Method	784	(3)
Problem Solving Using Systems of Equations	787	(14)
Selected Concepts of Geometry	801	(61)
Basic Terminology and Notation	802	(7)
Angle Calculations	809	(5)
Triangles	814	(9)
Polygons	823	(6)
Sectors and Segments of a Circle	829	(5)
Inscribed and Circumscribed Regular Polygons and Circles	834	(28)
Introduction to Trigonometry	862	(27)
Radians and Degrees	863	(6)
Trigonometric Functions	869	(6)
Using a Calculator to Find Trigonometric Values	875	(14)
Right-Triangle Trigonometry	889	(25)
Sine, Cosine, and Tangent Functions	890	(8)
Applied Problems Using Right-Triangle Trigonometry	898	(16)
Oblique Triangles	914	(44)
Vectors	915	(5)
Trigonometric Functions for Any Angle	920	(6)
Law of Sines	926	(8)
Law of Cosines	934	(5)
Area of Triangles	939	(19)
Selected Answers to Student Exercise Material	958	(68)
Glossary and Index	1026