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Building a Foundation in Mathematics 2nd Edition

National Joint Apprenticeship Training Committee, John Peterson

  • Published
  • Previous Editions 2005
  • 656 Pages


On-the-job scenarios and a straightforward approach bring to life the fundamental mathematical concepts learned with BUILDING A FOUNDATION IN MATHEMATICS, 2nd EDITION. This latest edition begins with thorough coverage of the simplest topics, like whole numbers and fractions, before delving into more advanced areas like binary numbers and Boolean algebra. A specific focus on math needed everyday in the electrical field provides additional value and context, making this book an indispensable resource for anyone seeking the mathematical skills necessary for work in the electrical field. Check out our app, DEWALT® Mobile Pro™. This free app is a construction calculator with integrated reference materials and access to hundreds of additional calculations as add-ons. To learn more, visit

National Joint Apprenticeship Training Committee,

NJATC develops and standardizes training for National Electrical Contractors Association and the International Brotherhood of Electrical Workers, which represents more than 780,000 members working in a wide variety of fields around North America.

John Peterson, Chattanooga State Technical Community College (retired)

John C. Peterson is a retired Professor of Mathematics at Chattanooga State Technical Community College.
  • Expands student resources to include beginner-level electrical applications at the end of each chapter.
  • Provides practical, easily applicable tools like the newly updated appendix depicting usage of a T1-30XII calculator.
  • Packs content full of industry-specific examples and exercises that cater to the electronics field, offering a learning experience that is contextually meaningful and relevant.
  • Reinforces key concepts with the dynamic use of color and detailed graphics that provide useful visualization aids.
  • Facilitates the application of subject matter beyond confines of the book with handy appendices that include a guide to mathematical symbols, common percent, fraction, and decimal equivalents, geometry formulas, and more.
1. Whole Numbers.
Writing and Rounding Whole Numbers. Adding Whole Numbers. Subtracting Whole Numbers. Multiplying Whole Numbers. Dividing Whole Numbers.
2. Fractions.
Writing and Ordering Fractions. Converting Improper Fractions and Mixed Numbers. Adding Fractions. Subtracting Fractions. Multiplying Fractions and Mixed Numbers. Dividing Fractions and Mixed Numbers. Reading a Customary Rule.
3. Decimals.
Writing and Rounding Decimals. Adding Decimals. Subtracting Decimals. Multiplying Decimals. Dividing Decimals. Converting Decimals and Fractions. Reading a Metric Rule.
4. Integers.
Introducing Integers. Adding Integers. Subtracting Integers.
Multiplying Integers. Dividing Integers.
5. Rational Numbers.
Adding Rational Numbers. Subtracting Rational Numbers. Multiplying Rational Numbers. Dividing Rational Numbers.
6. Exponents.
Introducing Exponents. Applying Laws of Exponents. Using Scientific Notation. Simplifying Expressions with Powers of Ten. Using Engineering Notation. Introducing Roots and Fractional. Exponents.
Finding Logarithms. Properties of Logarithms. Using Logarithms. Natural Logarithms. Applying Logarithms.
8. Units and Measurements.
Converting Units in the Customary System. Converting Units in the Metric System. Converting between Customary and Metric Units. Converting Measures of Temperature. Converting Measures of Area and Volume. Using the Mil.
9. Algebra Essentials.
Introducing Algebra. Using Properties of Addition and Multiplication. Simplifying Algebraic Expressions.
10. Equations, Formulas,and Inequalities.
Writing Equations. Solving One-Step Equations. Solving Multi-Step Equations. Using Formulas. Using Equations to Solve Word Problems. Writing Inequalities. Solving Inequalities.
11. Ratios, Rates, and Proportions.
Writing and Simplifying Ratios. Writing Unit Rates. Identifying and Solving Proportions. Solving Direct Proportion Problems. Solving Inverse Proportion Problems.
12. Percents.
Converting Fractions, Decimals, and Percents. Solving Percent Problems with Proportions. Solving Percent Problems with Equations. Solving Word Problems.
13. The Cartesian Plane.
Plotting Points on a Coordinate Plane. Graphing Linear Equations Using a Table of Values. Graphing Linear Equations Using Intercepts. Finding the Slope of a Line. Graphing Linear Equations Using Slope-Intercept Form. Writing Equations of Lines.
14. Systems of Equations.
Solving Systems of Equations by Graphing. Solving Systems of Equations by Substitution. Solving Systems of Equations by Elimination. Solving Systems of Equations for Three Unknowns. Using Systems to Solve Word Problems.
15. Plane Geometry.
Basic Concepts. Measuring and Drawing Angles. Angles, Angle Pairs, and Parallel Lines. Polygons and Their Properties. Finding Perimeter. Finding Area. Finding Circumference and Area of Circles. Congruent and Similar Triangles.
16. Solid Geometry.
Identifying Solid Figures. Finding Lateral Area and Surface Area. Finding Volume.
17. Trigonometry.
Using the Pythagorean Theorem. Finding Trigonometric Function. Values of Acute Angles. Finding Trigonometric Function. Values of Any Angle. Using Inverse Trigonometric Functions. Solving Right Triangles. Solving Word Problems with Trigonometric Functions.
18. Vectors.
Introducing Vectors. Vector Operations. Finding the Magnitude and Direction of a Vector. Finding and Using the Components of a Vector.
19. Binary, Octal, and Hexadecimal Numbers.
Converting between Base-10 and Binary Numbers. Adding Binary Numbers. Complements of Binary Numbers. Subtracting Binary Numbers. Multiplying Binary Numbers. Converting between Base-10 and Octal Numbers. Converting between Binary and Octal Numbers. Converting between Base-10 and Hexadecimal Numbers. Converting between Binary and Hexadecimal Numbers.
20. Boolean Algebra Fundamentals.
Logic and Truth Tables. Introducing Boolean Algebra. Laws of Boolean Algebra. Using DeMorgan''s Law.
Appendix A: Mathematical Symbols.
Appendix B: Addition Facts. Subtraction Facts. Multiplication Facts. Division Facts.
Appendix C: Method for Computing the Square Root of a Number.
Appendix D: Common Percents, Fractions, and Decimal Equivalents.
Appendix E: Formulas in Geometry.
Appendix F: Values of the Trigonometric Functions.
Answers to Odd-Numbered Exercises.

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