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Working with Integers Practice Problems

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Updated on Aug 24, 2011

To review these concepts, go to Working with Integers Study Guide.

Practice

Insert the correct mathematical symbol > or < for the following pairs of numbers.

  1. 5___11
  2. 1___48
  3. 4___–4  
  4. –2___–8
  5. 24___28
  6. 0___–6
  7. 12___0
  8. –64___–32

Solve these:

  1. 7 + 5
  2. –4 + 8
  3. –17 + 9
  4. –9 + –2
  5. –3 + 10
  6. 3 + –9
  7. 11 + –2
  8. –5 + 5
  9. 5 – 6
  10. 3 – 6
  11. –2 – 5
  12. –7 – 12
  13. –9 – 3
  14. –15 – 2
  15. –8 – 2
  16. –11 – 6
  17. 10 – 3
  18. 6 – 6
  19. 9 – 9
  20. –8 – 10

Practice using the shortcuts.

  1. –6 + 3
  2. 15 + 15
  3. 0 + 8
  4. –18 + 22
  5. 14 – 17
  6. 0 – 9
  7. –20 – 40
  8. 18 – 3
  9. 20 + 6 – 5 + 1
  10. –16 – 0 + 4 – 7
  11. 17 + 2 – 10 + 5
  12. –4 + 0 – 4 + 4 – 1
  13. –7 + 5 + 9 – 4
  14. 12 – 3 + 4 + 6
  15. –9 – 11 – 2 + 5
  16. –8 + 12 – 5 + 6
  17. 14 – 11 + 7 – 6
  18. –5 – 7 + 4 + 10
  19. –2 + 5 + 7 – 3 + 6
  20. 3 – 10 – 6 + 5 + 7

Solve:

  1. 7 · 8
  2. –4 · 5
  3. –14 ÷ 2
  4. –12 · 2
  5. –56 ÷ 8
  6. –33 ÷ 3
  7. 12 · 2 · 1 · 1
  8. –6 · 3 · 2
  9. 5 · 25 · 0 · 2
  10. –4 · 7 · 2
  11. –3 · 2 · 1 · 9
  12. –125 ÷ 25
  13. 48 ÷ 6
  14. –16 ÷ 8
  15. 70 ÷ 5
  16. –4 · 5 · 2 · 2

Mixed Practice

Here is a variety of problems for you to solve using what you've learned in this lesson. Work the problems without a calculator.

  1. 2 – 7
  2. –2 · 5
  3. –12 ÷ 4
  4. –9 + 12
  5. 16 – 5
  6. –36 ÷ 18
  7. 7 · 8
  8. –45 – 2
  9. –9 · 3
  10. –11 + 15
  11. 39 ÷ 3
  12. –18 – 3
  13. –20 · 3
  14. –8 – 8
  15. 37 – 12
  16. –10 – 2
  17. –2 · 7 · 3
  18. 2 + 9 –11 + 3
  19. 10 · 2 · 3
  20. –48 ÷ 3
  21. 20 – 3 + 8 – 11
  22. 2 · 2 · 4
  23. –10 – 4
  24. 60 ÷ 5
  25. 4 · 5 · 2 · 10
  26. –10 + 5 – 7 – 13
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