Contents
- Preface
2The Language of Algebra
8Solving Linear Equations
- Introduction to Solving Linear Equations
- 8.1Solve Equations Using the Subtraction and Addition Properties of Equality
- 8.2Solve Equations Using the Division and Multiplication Properties of Equality
- 8.3Solve Equations with Variables and Constants on Both Sides
- 8.4Solve Equations with Fraction or Decimal Coefficients
- ACumulative Review
- BPowers and Roots Tables
- CGeometric Formulas
- Index
Introduction to the Properties of Real Numbers
Figure
7.1
Quiltmakers know that by rearranging the same basic blocks the resulting quilts can look very different. What happens when we rearrange the numbers in an expression? Does the resulting value change? We will answer these questions in this chapter as we will learn about the properties of numbers. (credit: Hans, Public Domain)
Chapter Outline
A quilt is formed by sewing many different pieces of fabric together. The pieces can vary in color, size, and shape. The combinations of different kinds of pieces provide for an endless possibility of patterns. Much like the pieces of fabric, mathematicians distinguish among different types of numbers. The kinds of numbers in an expression provide for an endless possibility of outcomes. We have already described counting numbers, whole numbers, and integers. In this chapter, we will learn about other types of numbers and their properties.