So, - 4 2 = -4 2 = 4 -2 but - 4 2 2 -4 -2 The placement of the negative sign in a fraction can be done in three ways. The negative sign can be placed in the numerator of the fraction, or the denominator of the fraction, but not both, or in front of the fraction. �������������������� Negative Signs in Fractions For real numbers a and b with b ≠ 0, - a b = -a b = a -b �� ������������������������ ������������������ Perform the indicated operation. Problems Solutions 3a. 24 -6 24 -6 =-4 3b. -40 0 -40 0 is undefined 3c. -35 -7 -35 -7 = 5 3d. -6 -7 -6 -7 = 6 7 3e. 0 -3 0 -3 = 0 3f. 20 ÷ a- 2 5 b 20 ÷ a- 2 5 b = 20 · a- 5 2 b Rewrite as multiplying by the reciprocal. = 20 1 · - 5 2 Rewrite 20 as a fraction. =- 100 2 Multiply the numerators and denominators. =-50 Simplify. 3g. - 3 4 ÷ 5 8 - 3 4 ÷ 5 8 =- 3 4 · 8 5 Rewrite as multiplying by the reciprocal. =- 24 20 Multiply the numerators and denominators. =- 4 · 6 4 · 5 Factor the numerator and denominator. =- 6 5 Divide out the common factor of 4. Student Check 3 Perform the indicated operation. a. 30 -5 b. 0 -4 c. -60 -12 d. 3 5 ÷ (-9) e. -11 -15 f. a- 1 2 b ÷ a- 9 10 b 62 Chapter 1 Real Numbers and Algebraic Expressions
hendricks_beginning_algebra_1e_ch1_3
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