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The Rational Numbers on a Number Line Honors Math – Grade 7 Rational numbers can be graphed on a number line. Each rational number represents one point on the number line. Negative integers are less than 0. Positive integers are greater than 0. Zero is neither positive nor negative. OPPOSITES To graph a rational number on a number line, draw a dot to locate the point on the number line that corresponds to the integer. Two rational numbers are additive inverses (opposites) if they are the same distance from zero on the number line, but on opposite sides of zero. KEY CONCEPT Additive Inverse Property The sum of a rational number and its opposite is 0. a (a) 0 aa 0 Name the additive inverse. 2.5 0 1 3 5 3 1 4 VOCABULARY ALERT The Absolute Value of an integer is its distance from zero on a number line. 5 units from 0 5 Read as the absolute value of negative five. 5 units from 0 5 Read as the absolute value of positive five. Since distance cannot be negative, the absolute value of a number is always positive! Find the absolute value of each rational number. | 2.5 | 1 3 5 | -4.25 | |0| 7 13 4 6 5 Simplify 1 n 3 0 5 1.5 0.5 Simplify (20) (24) 60 15 Simplify 4.5 1.2 65