Section 1.3 Addition of Real Numbers 71 4 3 a 6 7b c. The least common denominator (LCD) is 21. Write each fraction with the LCD. Find the absolute value of the addends. ` 28 21 ` 28 21 and ` 18 21 ` 18 21 . Add their absolute values and apply the common sign (in this case, the common sign is negative). 4 7 3 7 28 21 a a a28 21 6 3 7 3b 18 21b 18 21b common sign is negative 46 21 . The sum is 46 21 Study the following example to determine a pattern for adding two numbers with different signs. 1 142 3 1 4 3 Start 6 5 4 3 2 1 0 1 2 3 4 5 6 Start 6 5 4 3 2 1 0 1 2 3 4 5 6 Instructor Note: Memory Device: Same Sign 1 Sum Different Sign 1 Difference 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. Classroom Examples: p. 74, Exercises 20 and 32 Adding Real Numbers with Different Signs Example 3 12 1172 8 8 Add. a. b. Solution: a. First find the absolute value of the addends. 012 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 08 0 8 The absolute values are equal. Therefore, their difference is 0. The number zero is neither positive 8 8 18 82 0 nor negative. Skill Practice Add. 7. 15 16 8. 6 162 Answers 7. 1 8. 0
miller_introductory_algebra_3e_ch1_3
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