Section 1.4 Addition of Real Numbers 47 Solution: a. First find the absolute value of the addends. 012 0 12 and 014 0 14. Add their absolute values and apply the common sign (in this case, the common sign is negative). 12 1142 112 142 common sign is negative 26 The sum is 26. 8.8 13.72 b. First find the absolute value of the addends. . 08.8 0 8.8 and 03.7 0 3.7 Add their absolute values and apply the common sign (in this case, the common sign is negative). 18.8 3.72 12.5 12.5. 4 3 a 4 7 3 7 28 21 a 6 7 b a a 28 21 46 21 6 3 7 3 18 21 18 21 b ` 28 21 ` 28 21 and ` b b . 46 21 18 21 ` 18 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 common sign is negative The sum is c. The least common denominator (LCD) is 21. Write each fraction with the LCD. Find the absolute value of the addends. Add their absolute values and apply the common sign (in this case, the common sign is negative). common sign is negative The sum is Skill Practice Add. 4. 5. 6. 1 2 a 5 8 5 1252 14.8 19.72 b Answers 4. 5. 24.5 6. 9 8 30
miller_beginning_intermediate_algebra_4e_ch1_3
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