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Name: ______________________________________ Date: _______________ Per: ______ 17.1 & 17.2 Adding Integers with same/different Signs (CLASSWORK) To add integers with the same sign, add their absolute values. The sum is: positive if both integers are positive. negative if both integers are negative. To add integers with different signs, subtract their absolute values. The sum is: positive if the positive integer's absolute value is greater. negative if the negative integer's absolute value is greater. To add integers, it is helpful to use a number line. Example 1 Find 4 + (-6). Use a number line. Start at 0. Move 4 units right. Then move 6 units left. Example 2 Find -2 + (-3). Use a number line. Start at 0. Move 2 units left. Move another 3 units left. Solve each expression below. Do NOT use a calculator. 1. 2. -5 + (-2) 8+1 3. -7 + 10 4. 16 + (-11) 5. -22 + (-7) 6. -50 + 50 7. -10 + (-10) 8. 100 + (-25) 9. -35 + (-20) 10. -7 + (-3) + 10 11. -42 + 36 + (-36) 12. -17 + 17 + 9 13. -14 + (-13) 14. 14 + (-27) 15. -2 + 19 + 2 Write an ADDITION expression to describe each situation. Then find each SUM. 16. A construction crew is digging a hole. On the first day, they dug a hole 3 feet deep. On the second day, they dug 2 more feet. On the third day, they dug 4 more feet. Write a sum of negative numbers to represent this situation. Find the total number of feet the construction crew dug. Write your answer as a negative integer. 17. A football team lost 8 yards in one play, then loses 5 yards in the next. What is the team’s total yardage for the two plays? Write your answer as a negative integer. 18. Roger owes his mom $5. He borrows another $6 from her. How much total will he have to repay to his mother? Write your answer as a negative integer. 19. Matt is playing a game. He scores are: +7 points, -10 points, -2 points, and -8 points. After adding his scores, what is Matt’s final score? Write your answer as a negative integer. 1. 20. Lance and Rita were tied in a game. Then Lance got these scores: 19, 7, 3, 11, 5. Rita got these scores: 25, 9, 5, 9, 8. After each person added their scores, who had the greater score? Show your work below.