# Elementary Technical Mathematics, 10th Edition

• Dale Ewen Parkland Community College
• C. Robert Nelson Champaign Centennial High School
• ISBN-10: 1439046891  |  ISBN-13: 9781439046890
• 648 Pages
• Previous Editions: 2007, 2003, 1998
• Instructor Companion Site
•

## Overview

Elementary Technical Mathematics Tenth Edition was written to help students with minimal math background prepare for technical, trade, allied health, or Tech Prep programs. The authors have included countless examples and applications surrounding such fields as industrial and construction trades, electronics, agriculture, allied health, CAD/drafting, HVAC, welding, auto diesel mechanic, aviation, natural resources, and others. This edition covers basic arithmetic including the metric system and measurement, algebra, geometry, trigonometry, and statistics, all as they are related to technical and grade fields. The goal of this text is to engage students and provide them with the math background they need to succeed in future courses and careers.

## Features/Benefits

• This book features a large number of applications from a wide variety of technical areas noted by marginal icons, including auto-diesel mechanic, industrial and construction trades, electronics, agriculture, allied health, CAD/drafting, HVAC, welding, aviation, and natural resources. Marginal icons are used to call attention to the applications, making it easier for instructors and students to benefit from them.
• Each chapter opener presents basic information about a technical career and is linked to the Student Companion Site for the text at www.cengage.com/math. Links at the site provide further information about the featured career.S
• The inside covers contain useful, frequently referenced information—such as metric system prefixes, English weights and measures, metric and English conversion, and formulas from geometry.
• Chapter 1 reviews basic concepts in such a way that students or the entire class can easily study only those sections they need to review.
• The use of a scientific calculator has been integrated in an easy to use format throughout the text to reflect its nearly universal use in technical classes and on the job.

1. BASIC CONCEPTS.
Unit1A Review of Operations with Whole Numbers.
1.1 Review of Basic Operations.
1.2 Order of Operations.
1.3 Area and Volume.
1.4 Formulas.
1.5 Prime Factorization Divisibility.
Unit 1A: Review.
Unit 1B Review of Operations with Fractions.
1.6 Introduction to Fractions.
1.7 Addition and Subtraction of Fractions.
1.8 Multiplication and Division of Fractions.
1.9 The U.S. System of Weights and Measures.
Unit 1B: Review.
Unit 1C Review of Operations with Decimal Fractions and Percent.
1.10 Addition and Subtraction of Decimal Fractions.
1.11 Rounding Numbers.
1.12 Multiplication and Division of Decimal Fractions.
1.13 Percent.
1.14 Part, Base, and Rate.
1.15 Powers and Roots.
1.16 Application Involving Percent: Personal Finance.
Unit 1C: Review.
Chapter 1: Group Activities.
Chapter 1: Summary.
Chapter 1: Review.
Chapter 1: Test.
2. SIGNED NUMBERS AND POWERS OF 10.
2.2 Subtraction of Signed Numbers.
2.3 Multiplication and Division of Signed Numbers.
2.4 Signed Fractions.
2.5 Powers of 10.
2.6 Scientific Notation.
2.7 Engineering Notation.
Chapter 2: Group Activities.
Chapter 2: Summary.
Chapter 2: Review.
Chapter 2: Test.
Chapter 1-2: Cumulative Review.
3. THE METRIC SYSTEM.
3.1 Introduction to the Metric System.
3.2 Length.
3.3 Mass and Weight.
3.4 Volume and Area.
3.5 Time, Current, and Other Units.
3.6 Temperature.
3.7 Metric and U.S. Conversion.
Chapter 3: Group Activities.
Chapter 3: Summary.
Chapter 3: Review.
Chapter 3: Test.
4. MEASUREMENT.
4.1 Approximate Numbers and Accuracy.
4.2 Precision and Greatest Possible Error.
4.3 The Vernier Caliper.
4.4 The Micrometer Caliper.
4.5 Addition and Subtraction of Measurements.
4.6 Multiplication and Division of Measurements.
4.7 Relative Error and Percent of Error.
4.8 Color Code of Electrical Resistors.
Chapter 4: Group Activities.
Chapter 4: Summary.
Chapter 4: Review.
Chapter 4: Test.
Chapter 1-4: Cumulative Review.
5. POLYNOMIALS: AN INTRODUCTION TO ALGEBRA.
5.1 Fundamental Operations.
5.2 Simplifying Algebraic Expressions.
5.3 Addition and Subtraction of Polynomials.
5.4 Multiplication of Monomials.
5.5 Multiplication of Polynomials.
5.6 Division by a Monomial.
5.7 Division by a Polynomial.
Chapter 5: Group Activities.
Chapter 5: Summary.
Chapter 5: Review.
Chapter 5: Test.
6. EQUATIONS AND FORMULAS.
6.1 Equations.
6.2 Equations with Variables in Both Members.
6.3 Equations with Parentheses.
6.4 Equations with Fractions.
6.5 Translating Words into Algebraic Symbols.
6.6 Applications Involving Equations.
6.7 Formulas.
6.8 Substituting Data into Formulas.
6.9 Reciprocal Formulas Using a Calculator.
Chapter 6: Group Activities.
Chapter 6: Summary.
Chapter 6: Review.
Chapter 6: Test.
Chapters 1-6: Cumulative Review.
7. RATIO AND PROPORTION.
7.1 Ratio.
7.2 Proportion.
7.3 Direct Variation.
7.4 Inverse Variation.
Chapter 7: Group Activities.
Chapter 7: Summary.
Chapter 7: Review.
Chapter 7: Test.
8. GRAPHING LINEAR EQUATIONS.
8.1 Linear Equations with Two Variables.
8.2 Graphing Linear Equations.
8.3 The Slope of a Line.
8.4 The Equation of a Line.
Chapter 8: Group Activities.
Chapter 8: Summary.
Chapter 8: Review.
Chapter 8: Test.
Chapters 1-8: Cumulative Review.
9. SYSTEMS OF LINEAR EQUATIONS.
9.1 Solving Pairs of Linear Equations by Graphing.
9.2 Solving Pairs of Linear Equations by Addition.
9.3 Solving Pairs of Linear Equations by Substitution.
9.4 Applications Involving Pairs of Linear Equations.
Chapter 9: Group Activities.
Chapter 9: Summary.
Chapter 9: Review.
Chapter 9: Test.
10. FACTORING ALGEBRAIC EXPRESSIONS.
10.1 Finding Monomial Factors.
10.2 Finding the Product of Two Binomials Mentally.
10.3 Finding Binomial Factors.
10.4 Special Products.
10.5 Finding Factors of Special Products.
10.6 Factoring General Trinomials.
Chapter 10: Group Activities.
Chapter 10: Summary.
Chapter 10: Review.
Chapter 10: Test.
Chapters 1-10: Cumulative Review.
11.1 Solving Quadratic Equations by Factoring.
11.5 Imaginary Numbers.
Chapter 11: Group Activities.
Chapter 11: Summary.
Chapter 11: Review.
Chapter 11: Test.
12. GEOMETRY.
12.1 Angles and Polygons.
12.3 Triangles.
12.4 Similar Polygons.
12.5 Circles.
12.7 Prisms.
12.8 Cylinders.
12.9 Pyramids and Cones.
12.10 Spheres.
Chapter 12: Group Activities.
Chapter 12: Summary.
Chapter 12: Review.
Chapter 12: Test.
Chapters 1-12: Cumulative Review.
13. RIGHT TRIANGLE TRIGONOMETRY.
13.1 Trigonometric Ratios.
13.2 Using Trigonometric Ratios to Find Angles.
13.3 Using Trigonometric Ratios to Find Sides.
13.4 Solving Right Triangles.
13.5 Applications Involving Trigonometric Ratios.
Chapter 13: Group Activities.
Chapter 13: Summary.
Chapter 13: Review.
Chapter 13: Test.
14. TRIGONOMETRY WITH ANY ANGLE.
14.1 Sine and Cosine Graphs.
14.2 Period and Phase Shift.
14.3 Solving Oblique Triangles: Law of Sines.
14.4 Law of Sines: The Ambiguous Case.
14.5 Solving Oblique Triangles: Law of Cosines.
Chapter 14: Group Activities.
Chapter 14: Summary.
Chapter 14: Review.
Chapter 14: Test.
Chapters 1-14: Cumulative Review.
15. BASIC STATISTICS.
15.1 Bar Graphs.
15.2 Circle Graphs.
15.3 Line Graphs.
15.4 Other Graphs.
15.5 Mean Measurement.
15.6 Other Average Measurements and Percentiles.
15.7 Range and Standard Deviation.
15.8 Grouped Data.
15.9 Standard Deviation for Grouped Data.
15.10 Statistical Process Control.
15.11 Other Graphs for Statistical Data.
15.12 Normal Distribution.
15.13 Probability.
15.14 Independent Events.
Chapter 15: Group Activities.
Chapter 15: Summary.
Chapter 15: Review.
Chapter 15: Test.
16.1 Introduction to Binary Numbers.
16.3 Subtraction of Binary Numbers.
16.4 Multiplication of Binary Numbers.
16.5 Conversion from Decimal to Binary System.
16.6 Conversion from Binary to Decimal System.
Chapter 16: Group Activities.
Chapter 16: Summary.
Chapter 16: Review.
Chapter 16: Test.
Chapters 1-16: Cumulative Review.
Appendix A: Tables. Table 1: Formulas from Geometry. Table 2: Electrical Symbols.
Appendix B: Exponential Equations.
Appendix C: Answers to Odd-Numbered Exercises and All Chapter Review and Cumulative Review Exercises.

## What's New

• Natural Resources application exercises including forestry, soil management, wildlife management, parks, recycling, and related areas have been added.
• A new Section 1.16 on Applications Involving Percent: Personal Finance makes the text even more practical for your students for real-life application.
• A new Section 15.9 on Standard Deviation for Grouped Data is included in this edition along with other updates throughout chapter 15.
• NEW Appendix B on Exponential Equations .
• Signed number drills exercises have been added to assist students in learning addition, subtraction, and multiplication on signed numbers.
• More than 250 new exercises!

# Learning Resource Bundles

Bundle: Text + Enhanced WebAssign - Start Smart Guide for Students + Enhanced WebAssign Homework Printed Access Card for One Term Math and Science
ISBN-10: 0538458321  | ISBN-13: 9780538458320

Bundle: Text + Enhanced WebAssign Single-Term LOE Printed Access Card for Developmental Math
ISBN-10:  1111616175 | ISBN-13:  9781111616175

# Instructor Supplements

All supplements have been updated in coordination with the main title. Select the main title's "About the Solution" tab, then select "What's New" for updates specific to title's edition. For more information about these supplements, or to obtain them, contact your Learning Consultant.

### PowerLecture with ExamView®  (ISBN-10: 1439047529 | ISBN-13: 9781439047521)

This CD-ROM provides the instructor with dynamic media tools for teaching. Create, deliver, and customize tests (both print and online) in minutes with ExamView® Computerized Testing Featuring Algorithmic. Microsoft® PowerPoint® lecture slides, figures from the book in electronic format, are also included on this CD-ROM.

### Enhanced WebAssign - Start Smart Guide for Students  (ISBN-10: 0495384798 | ISBN-13: 9780495384793)

This guide helps students navigate Enhanced WebAssign. It includes instructions on how to use the Assignment page and its Summary, tips on using MathPad for providing easy input of math notation and symbols, an overview of the Graphing Utility's drawing tools for completing graphing assignments, and information on how to access grades and scores summary.

# Student Supplements

All supplements have been updated in coordination with the main title. Select the main title's "About the Solution" tab, then select "What's New" for updates specific to title's edition. For more information about these supplements, or to obtain them, contact your Learning Consultant.

### Enhanced WebAssign - Start Smart Guide for Students  (ISBN-10: 0495384798 | ISBN-13: 9780495384793)

If your instructor has chosen to package Enhanced WebAssign with your text, this manual will help you get up and running quickly with the Enhanced WebAssign system so you can study smarter and improve your performance in class.

### Bundle: Text + Enhanced WebAssign Single-Term LOE Printed Access Card for Developmental Math  (ISBN-10: 1111616175 | ISBN-13: 9781111616175)

Elementary Technical Mathematics Tenth Edition was written to help students with minimal math background prepare for technical, trade, allied health, or Tech Prep programs. The authors have included countless examples and applications surrounding such fields as industrial and construction trades, electronics, agriculture, allied health, CAD/drafting, HVAC, welding, auto diesel mechanic, aviation, natural resources, and others. This edition covers basic arithmetic including the metric system and measurement, algebra, geometry, trigonometry, and statistics, all as they are related to technical and trade fields. The goal of this text is to engage students and provide them with the math background they need to succeed in future courses and careers.