58 Chapter 1 Real Numbers and Algebraic Expressions Procedure: Multiplying Real Numbers Step 1: Determine the sign of the product. a. The product of two real numbers with the same sign is positive. b. The product of two real numbers with different signs is negative. Step 2: Multiply the numbers. Objective 1 Examples Multiply the real numbers. 1a. 7(-5) 1b. (-4)(-6) 1c. a- 3 5 ba5 3 b 1d. (-4)a- 1 8 b 1e. (-2.35)(10) 1f. (-4)(-8)(-3) 1g. (-5)(-4)(-2)(-1) Solutions 1a. 7(-5) = -35 The product of two numbers with different signs is negative. 1b. (-4)(-6) = 24 The product of two numbers with the same sign is positive. 1c. a- 3 5 ba5 3 b =- 3(5) 5(3) The product of numbers with different signs is negative. =- 15 15 Multiply the numerators and denominators. =-1 Simplify. 1d. (-4)a- 1 8 b = a- 4 1 b a- 1 8 b Rewrite -4 as - 4 1 . = 4(1) 1(8) The product of numbers with the same sign is positive. = 4 8 Simplify. = 1 2 1e. (-2.35)(10) = -23.5 The product of numbers with different signs is negative. 1f. (-4)(-8)(-3) = 32(-3) Multiply from left to right. The product of the fi rst two numbers is positive. = -96 The fi nal product is negative. 1g. (-5)(-4)(-2)(-1) = (20)(-2)(-1) Multiply from left to right. The product of the fi rst two numbers is positive. = (-40)(-1) The product of the numbers is negative. = 40 The fi nal product is positive.
hendricks_beginning_intermediate_algebra_1e_ch1_3
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