94 Chapter 2 Integers and Algebraic Expressions Adding Integers with the Same Sign Add. a. 2 142 b. 12 1372 c. 10 66 Solution: a. 2 142 First find the absolute value of each addend. 02 0 2 and 04 0 4. 12 42 Add their absolute values and apply the common sign (in this case, the common sign is negative). Common sign is negative. 6 The sum is 6. b. 12 1372 First find the absolute value of each addend. 012 0 12 and 037 0 37. 112 372 Add their absolute values and apply the common sign (in this case, the common sign is negative). Common sign is negative. 49 The sum is 49. c. 10 66 First find the absolute value of each addend. and 110 662 Add their absolute values and apply the common sign (in this case, the common sign is positive). Common sign is positive. 76 The sum is 76. The next rule helps us add two numbers with different signs. 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 Integers with Different Signs Add. a. 2 172 b. 6 24 c. 8 8 Solution: a. 2 172 First find the absolute value of each addend. and Note: The absolute value of 7 is greater than the absolute value of 2. Therefore, the sum is negative. 17 22 Next, subtract the smaller absolute value from the larger absolute value. Apply the sign of the number with the larger absolute value. 5 02 0 2 07 0 7 Example 4 010 0 10 066 0 66. Example 3 Skill Practice Add. 5. 6 182 6. 84 1272 7. 14 31 TIP: Parentheses are used to show that the absolute values are added before applying the common sign. Concept Connections State the sign of the sum. 8. 9 11 9. 9 7 Skill Practice Add. 10. 5 182 11. 12 37 12. 4 4 Answers 5. 14 6. 111 7. 45 8. Positive 9. Negative 10. 3 11. 25 12. 0
miller_prealgebra_2e_ch1_3
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