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Pre-Algebra Rational Numbers 4-6 Obj: 1. 2. OBJECTIVE Identifying and Graphing Rational Numbers 1 A two integers, where b is not among rational numbers. is any number you can write as a quotient of . The diagram below shows relationships Rational Numbers Here are three ways you can write a negative rational number. For each rational number, there is an unlimited number of equivalent fractions. EXAMPLE 1 Writing Equivalent Fractions Write two lists of fractions equivalent to each fraction. 1. 1 2 2. 1 3 4 3. - 5 1 4. - 2 EXAMPLE 2 Graphing a Real Number Graph each rational number on a number line. 1. ½ 2. -8/10 3. 1 4. -0.2 Graph each rational number on a number line. 5. -1/2 6. -4/10 7. -2 8. 0.9 Graph each rational number on a number line. 9. -3/4 10. 0.5 11. 0 12. 1/3 OBJECTIVE 2 Evaluating Fractions Containing Variables Recall that a fraction bar is a grouping symbol, so you first simplify the numerator and the denominator. Then, simplify the fractions. EXAMPLE 3 Evaluating Fractions Containing Variables Evaluate. Write in simplest form. 1. a= f–i t for f = 102, i = 37, and t = 5 Evaluate for a = 6 and b = -5. Write in simplest form. 2. a+b -3 3. 7–b 3a 4. a + 9 b Pre-Algebra Objectives 4-6 The student should be able….. 1. To identify and graph rational numbers. 2. To evaluate fractions containing variables.