70 Chapter 1 The Set of Real Numbers 2. Addition of Real Numbers When adding large numbers or numbers that involve fractions or decimals, counting units on the number line can be cumbersome. Study the following example to determine a pattern for adding two numbers with the same sign. 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 1 4 5 1 142 5 Adding Numbers with the Same Sign To add two numbers with the same sign, add their absolute values and apply the common sign. Adding Real Numbers with the Same Sign Add. 6 712 1142 8.8 13.72 b a. b. c. 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. 4 3 a Example 2 5 1252 14.8 19.72 Classroom Examples: pp. 74–75, Exercises 22 and 52 Answers 4. 5. 24.5 6. 9 8 30 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 common sign is negative 12.5 The sum is 12.5. Skill Practice Add the numbers. 4. 5. 6. 1 2 a 5 8b
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