SAMPLE Fundamentals of Math

Fundamentals of Mathematics Now let's look at the second sentence in our definition: Collectively, these values can be represented as a distance along a line. We organize Real numbers on a straight line with values placed in equal segments along its length; this line, known as a number line , can be extended infinitely in any direction. Values are placed numerically left to right with smaller quantities on the left and extending to larger quantities on the right.

Figure 1.2.3 A Generic Number Line

There is no set number line because a number line is just a visual tool to help users compare values and carry out operations like addition, subtraction, multiplication, and division.

Figure 1.2.4 Types of Number Line

Practice 1.2.1 Directions: Identify the following numbers as natural, whole, integer, rational, irrational, or real - place a checkmark in each category that could be used to describe the number.

1. − 8 2. π≈3. 14… 3. 5 4. 0 5. 1 2

Natural

Whole Integer Rational Irrational

Real

Answer Key on Page 126

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