Building a Foundation in Mathematics

by NJATC, NJATC; Peterson, John C.

• ISBN13: 9781435488540
• ISBN10: 1435488547
• Edition: 2nd
• Format: Hardcover
• Copyright: 2010-04-09
• Publisher: Cengage Learning

Summary

Real-world, on-the-job scenarios and a clear, straightforward approach bring to life the fundamental mathematical concepts that you will learn with BUILDING A FOUNDATION IN MATHEMATICS, 2nd EDITION. This latest edition begins with deliberate and thorough coverage of the simplest topics, like whole numbers and fractions, before delving into more advanced areas. By the time the book has progressed to complex subjects like binary numbers and Boolean algebra, you have been armed with such a solid foundation of the basics that comprehension is easy. You will find additional value in the practical examples that encompass typical situations electricians face every day, providing a concrete context for learning and making this book an indispensable resource for anyone seeking the mathematical skills necessary for work in the electrical field.

Table of Contents

Whole Numbers

Writing and Rounding Whole Numbers

Adding Whole Numbers

Subtracting Whole Numbers

Multiplying Whole Numbers

Dividing Whole Numbers

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

Decimals

Writing and Rounding Decimals

Adding Decimals

Subtracting Decimals

Multiplying Decimals

Dividing Decimals

Converting Decimals and Fractions

Reading a Metric Rule

Integers

Introducing Integers

Adding Integers

Subtracting Integers

Multiplying Integers

Dividing Integers

Rational Numbers

Adding Rational Numbers

Subtracting Rational Numbers

Multiplying Rational Numbers

Dividing Rational Numbers

Exponents

Introducing Exponents

Applying Laws of Exponents

Using Scientific Notation

Simplifying Expressions with Powers of Ten

Using Engineering Notation

Introducing Roots and Fractional

Exponents

Logarithms

Finding Logarithms

Properties of Logarithms

Using Logarithms

Natural Logarithms

Applying Logarithms

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

Algebra Essentials

Introducing Algebra

Using Properties of Addition and Multiplication

Simplifying Algebraic Expressions

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

Ratios, Rates, and Proportions

Writing and Simplifying Ratios

Writing Unit Rates

Identifying and Solving Proportions

Solving Direct Proportion Problems

Solving Inverse Proportion Problems

Percents

Converting Fractions, Decimals, and Percents

Solving Percent Problems with Proportions

Solving Percent Problems with Equations

Solving Word Problems

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

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

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

Solid Geometry

Identifying Solid Figures

Finding Lateral Area and Surface Area

Finding Volume

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

Vectors

Introducing Vectors

Vector Operations

Finding the Magnitude and Direction of a Vector

Finding and Using the Components of a Vector

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

Boolean Algebra Fundamentals

Logic and Truth Tables

Introducing Boolean Algebra

Laws of Boolean Algebra

Using DeMorgan's Law

Mathematical Symbols

Addition Facts

Subtraction Facts

Multiplication Facts

Division Facts

Method for Computing the Square Root of a Number

Common Percents, Fractions, and Decimal Equivalents

Formulas in Geometry

Values of the Trigonometric Functions

Answers to Odd-Numbered Exercises

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