Multiply a) 2 9 b) 8 (7) c) 0.3(14) Solution a) 2 9 18 The product of a negative and a positive number is negative. b) 8 (7) 56 The product of a positive and a negative number is negative. c) 0.3(14) 4.2 The product of a positive and a negative number is negative. EXAMPLE 1 YOU TRY 1 Multiply. a) 9(6) b) 5 10 c) 1.4 (23) 2 Multiply Two Numbers with the Same Sign We know that when we multiply two positive numbers, the product is positive. For example, 3 5 15. What is the sign of the product of two negative numbers? Again, let’s make a table. 3 (5) 15 2 (5) 10 1 (5) 5 0 (5) 0 1 (5) 5 2 (5) 10 3 (5) 15 the products increase by 5. As these numbers decrease by 1, The table illustrates that the product of two negative numbers is a positive number. Procedure Multiplying Two Numbers with the Same Sign The product of two numbers with the same sign is positive. Multiply. a) 6 (3) b) 10(9) c) 4 12 Solution a) 6 (3) 18 The product of two negative numbers is positive. b) 10(9) 90 The product of two negative numbers is positive. c) 4 12 48 The product of two positive numbers is positive. EXAMPLE 2 YOU TRY 2 Multiply. a) 5(10) b) 4 (3) c) 8 7 742 CHAPTER 10 Signed Numbers www.mhhe.com/messersmith
messersmith_power_basic_college_1e_ch4_7_10
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