Section 1.1 Sets and the Real Numbers 7 2b. 5 hr: the time the average American watches TV each day -273°C: the temperature of absolute zero 6 1 3 ft: the height of the tallest U.S. president, Abraham Lincoln 16π ft2: the area of a circle with radius 4 ft Solutions 2a. Number Natural Whole Integer Rational Irrational Real 3.2 = 32 10 X X -4 1 2 =- 9 2 X X 19 = 3 = 3 1 X X X X X 115 ≈ 3.87 X X 0 = 0 1 X X X X -8=- 8 1 X X X 3 4 X X 2b. Number Natural Whole Integer Rational Irrational Real 5 = 5 1 X X X X X -273=- 273 1 X X X 6 1 3 = 19 3 X X 16π ≈ 50.27 X X Student Check 2 Classify each number in the set as a natural number, whole number, integer, rational number, irrational number, and/or real number. If the number is a rational number, write it in the form of a fraction. If the number is irrational, approximate its value to two decimal places. e 7.5, 3 4 5 , 130, 125, -20, 4π, 1 2 f The Real Number Line Graphing or plotting real numbers on a number line is an important skill that will be used in later sections. The real number line is a horizontal line drawn with arrows on both ends to indicate that the real numbers are infinite. Tick marks are used to divide the number line into equal segments. Positive numbers are located to the right of 0 and negative numbers are located to the left of 0. Zero is called the origin and is neither positive nor negative. –6 Negative numbers Positive numbers –5 –4 –3 –2 –1 0 1 2 3 4 5 6 S l i Objective 3 ▶ Graph real numbers on a real number line.
hendricks_intermediate_algebra_1e_ch1_3
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