Adding Negative Numbers Name: __________________________

Worksheet #2 Period: ________

Let red squares represent negative numbers and blue squares represent positive numbers:

= –1, = 1,

= –3, = 3,

= –5, = 5, etc.

Problems 1-4: Write the number represented:

1. = 2. =

3. = 4. =

A positive and a negative cancel each other out. That is, + = 0. In problems 1-9, write the sum represented, then give the final answer as a single positive or negative number.

5. + =

6. + + =

7, + + + =

8. + + =

9. + + + + =

Problems 10-19: Use your package of tiles to figure out the answer to each sum.

10. 2 + (–5) = 11. –3 + (–4) =

12. –1 + 5 + (–2) = 13. 3 + (–4) =

14. –5 + 7 + (–2) + 3 = 15. (–6) + (–2) =

16. –1 + (–1) + (–2) = 17. –1 + (–2) + (–1) + (–1) =

18. 2 + (–5) + 3 + (–4) = 19. 5 + (–3) + (–4) + 1 =

Problems 20-30: Think big. Imagine what cancels what in order to find the answer.

20. –28 + 32 = 21. –28 + 18 =

22. –28 + (–28) = 23. –100 + (–52) =

24. –100 + 52 = 25. –100 + (–122) =

26. –100 + 122 = 27. (–25) + (–25) + (–25) + (–25) =

28. (–12) + (–12) + (–12) + (–12) + (–12) + (–12) + (–12) + (–12) =

29. 14 + (–25) + 14 + 14 + (–25) + (–25) + 14 + (–25) + 14 + (–25) + (–25) =

30. (–32) + (–23) + (–32) + 23 + (–32) + 32 + (–23) + 32 =

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