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Transcript
2.6 – Division of Rational Numbers Definition For all rational numbers a and b, the quotient a (or a b ), where b 0 , is b the number c such that cb a . Dividing Positive and Negative Numbers To divide positive and negative numbers, divide their absolute values. Use the following rules to determine the sign of the quotient. When we divide a positive number by a negative number or a negative number by a positive number, the quotient is negative. or When we divide two positive numbers or two negative numbers, the quotient is positive. or Example 1 – Divide. a. 21 3 b. 12 4 c. 8 2 Definition Two rational numbers whose product is 1 are called multiplicative inverses or reciprocals of each other. Property of Multiplicative Inverses For each nonzero rational number a, there is one and only one rational number 1 1 such that a 1 . a a Example 2 – Find the reciprocal. a. 3 7 b. 8 Dividing Numbers For all rational numbers a and b b 0 , a 1 a b b Example 3 – Divide. a. 9 5 8 3 b. 1 5 2 7 L16 – pg 84 (1, 3, 19, 21, 41-51 odd) c. 2 7 5 3