48 Chapter 1 The Set of Real Numbers Answers 7. 1 8. 0 Adding Numbers with Different Signs To add two numbers with different signs, subtract the smaller absolute value from the larger absolute value.Then apply the sign of the number having the larger absolute value. Adding Real Numbers with Different Signs Example 3 Add. a. 12 1172 b. 8 8 Solution: a. First find the absolute value of the addends. 0 12 0 12 and 017 0 17. The absolute value of 17 is greater than the absolute value of 12.Therefore, the sum is negative. Next, subtract the smaller absolute value from the larger absolute value. 12 1172 117 122 Apply the sign of the number with the larger absolute value. 5 b. First find the absolute value of the addends. . 08 0 8 and 0 8 0 8 The absolute values are equal.Therefore, their difference is 0.The number zero is neither positive nor negative. 8 8 18 82 0 Skill Practice Add. 7. 15 16 8. 6 162 Adding Real Numbers with Different Signs Example 4 Add. a. b. 2 15 10.6 20.4 a b 4 5 Solution: a. First find the absolute value of the addends. 010.6 0 10.6 and 0 20.4 0 20.4. The absolute value of 20.4 is greater than the absolute value of 10.6.Therefore, the sum is positive. Next, subtract the smaller absolute value from the larger absolute value. 10.6 20.4 120.4 10.62 Apply the sign of the number with the larger absolute value. 9.8
miller_beginning_intermediate_algebra_4e_ch1_3
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