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7.1: Introduction to the Properties of Real Numbers

  • Page ID
    118948
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    A photo of an Eskimo family, mother, father and child, dressed in fur coats.
    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

    7.1 Rational and Irrational Numbers
    7.2 Commutative and Associative Properties
    7.3 Distributive Property
    7.4 Properties of Identity, Inverses, and Zero
    7.5 Systems of Measurement

    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.


    7.1: Introduction to the Properties of Real Numbers is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by LibreTexts.

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