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miller_introductory_algebra_3e_ch1_3

Section 1.5 Multiplication and Division of Real Numbers 89 Dividing Real Numbers Example 3 Divide the real numbers. a. b. c. d. Solution: a. Different signs. Quotient is negative. 200 1102 20 48 16 b. 3 Different signs. Quotient is negative. 6.25 1.25 c. Same signs. Quotient is positive. 9 5 5 9 5 d. Same signs. Quotient is positive. Because 5 does not divide into 9 evenly the answer can be left as a fraction. Dividing Real Numbers Example 4 Divide the real numbers. a. b. Solution: a. 15 25 Different signs. Quotient is negative. b. Different signs. Quotient is negative. Multiply by the reciprocal of which is . Divide out common factors. 3 14 3 1 14 2 1 6 7 1 93 Multiply the fractions. 79 9 7 7 9 3 14 9 7 3 5 15 25 3 14 9 7 15 25 9 5 6.25 1.25 48 16 200 1102 Skill Practice Simplify. 12. 14 7 13. 7.6 1.9 14. 15. 18 3 7 3 Classroom Examples: p. 93, Exercises 24 and 26 TIP: If the numerator and denominator of a fraction are both negative, then the quotient is positive. Therefore, can be simplified to 9 . 5 9 5 Skill Practice Simplify. 16. 12 1182 17. 3 4 a 9 16b Answers 12. 13. 14. 4 15. 16. 17. 4 3 2 6 2 3 7 3 TIP: If the numerator and denominator of a fraction have opposite signs, then the quotient will be negative. Therefore, a fraction has the same value whether the negative sign is written in the numerator, in the denominator, or in front of the fraction. 3 5 3 5 3 5 Classroom Examples: pp. 93–94, Exercises 34 and 86


miller_introductory_algebra_3e_ch1_3
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