Elementary Technical Mathematics – Dale Ewen, C. Robert Nelson – 10th Edition


Elementary Technical Mathematics, Tenth Edition, is intended for technical, trade, al-lied health, or Tech Prep programs. This book was written for students who plan tolearn a technical skill, but who have minimal background in mathematics or needconsiderable review. To become proficient in most technical programs, students mustlearn basic mathematical skills. To that end, Chapters 1 through 4 cover basic arithmeticoperations, fractions, decimals, percent, the metric system, and numbers as measurements. Chapters 5 through 11 present essential algebra needed in technical and trade programs.

The essentials of geometry—relationships and formulas for the most common two- andthree-dimensional figures—are given in detail in Chapter 12. Chapters 13 and 14 presenta short but intensive study of trigonometry that includes right-triangle trigonometry aswell as oblique triangles and graphing. The concepts of statistics that are most importantto technical fields are discussed in Chapter 15. An introduction to binary and hexadecimalnumbers is found in Chapter 16 for those who requested this material.

The authors have included numerous examples and applications surrounding areas such as construction and industrial operations, electronics, agriculture, allied health, drafting, HVAC, welding, automotive diesel mechanics, aviation, natural resources, among others. This edition contains all basic arithmetic, including the metric system and measurements, algebra, geometry, trigonometry, and statistics, as they are all related to technical and business fields. Thus, the goal of this text is to engage students and provide them with the mathematical foundation they need to succeed in future courses and careers.

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  • Chapter 1: Basic Concepts

    1.1: Review of Basic Operations
    1.2: Order of Operations
    1.3: Area and Volume
    1.4: Formulas
    1.5: Prime Factorization Divisibility
    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
    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 FinanceChapter 2: Signed Numbers and Powers of 10
    2.1: Addition of Signed Numbers
    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 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: Tim, Current, and Other Units
    3.6: Temperature
    3.7: Metric and U.S. Conversion
    Chapter 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 Error
    4.8: Color Code of Electrical Resistors
    4.9: Reading Scales
    Chapter 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 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 7: Ratio and Proportion
    7.1: Ratio
    7.2: Proportion
    7.3: Direct Variation
    7.4: Inverse Variation
    Chapter 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 (17)
    Chapter 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 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 11: Quadratic Equations
    11.1: Solving quadratic Equations by Factoring
    11.2: The Quadratic Formula
    11.3: Applications Involving Quadratic Equations
    11.4: Graphs of Quadratic Equations
    11.5: Imaginary Numbers
    Chapter 12: Geometry
    12.1: Angles and Polygons
    12.2: Quadrilaterals
    12.3: Triangles
    12.4: Similar Polygons
    12.5: Circles
    12.6: Radian Measure
    12.7: Prisms
    12.8: Cylinders
    12.9: Pyramids and Cones
    12.10: Spheres
    Chapter 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 Ratios to Find Sides
    Chapter 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 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 16: Binary and Hexadecimal Numbers
    16.1: Introduction to Binary Numbers
    16.2: Addition of 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
    16.7: Hexadecimal System
    16.8: Addition and Subtraction of Hexadecimal Numbers
    16.9: Binary to Hexadecimal Conversion
    16.10: Hexadecimal Code for Colors
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