Math worksheet for practicing integer operations with 33 problems.

Let's solve each of these integer operations step by step. We'll use the rules for adding, subtracting, multiplying, and dividing integers.

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Rules to Remember:

- Addition:
- Same signs: Add and keep the sign.
- Different signs: Subtract and take the sign of the larger absolute value.
- Subtraction: Change the sign and add (e.g., $ a - b = a + (-b) $).
- Multiplication & Division:
- Same signs: Result is positive.
- Different signs: Result is negative.

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Now, let’s go through each problem:

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1. $ 6 + (-1) = 5 $
→ $ 6 - 1 = 5 $

2. $ 6 \times (-2) = -12 $
→ Positive × Negative = Negative

3. $ (-3) + (-2) = -5 $
→ Both negative → add and keep negative

4. $ (-25) \div (-5) = 5 $
→ Negative ÷ Negative = Positive

5. $ 12 - (-63) = 12 + 63 = 75 $
→ Subtracting a negative = adding

6. $ (-25) + (-77) = -102 $
→ Add absolute values, keep negative

7. $ (-6) \div (-3) = 2 $
→ Negative ÷ Negative = Positive

8. $ 8 \times 3 = 24 $
→ Positive × Positive = Positive

9. $ (-5) + (-1) = -6 $
→ Both negative → sum is negative

10. $ (-7) - 9 = -7 - 9 = -16 $
→ Think as $ -7 + (-9) $

11. $ (-49) \div (-7) = 7 $
→ Negative ÷ Negative = Positive

12. $ 24 \div (-3) = -8 $
→ Positive ÷ Negative = Negative

13. $ (-6) + 6 = 0 $
→ Opposites cancel out

14. $ (-9) \times (-5) = 45 $
→ Negative × Negative = Positive

15. $ 7 - (-5) = 7 + 5 = 12 $
→ Subtracting a negative = adding

16. $ (-4) \div (-2) = 2 $
→ Negative ÷ Negative = Positive

17. $ (-7) - (-7) = -7 + 7 = 0 $
→ Subtracting same number → zero

18. $ 9 - (-2) = 9 + 2 = 11 $
→ Subtracting a negative = adding

19. $ 7 - (-9) = 7 + 9 = 16 $

20. $ 1 + (-6) = 1 - 6 = -5 $

21. $ 12 \div (-2) = -6 $
→ Positive ÷ Negative = Negative

22. $ 4 \div (-4) = -1 $

23. $ 4 - 4 = 0 $

24. $ 24 \div (-4) = -6 $

25. $ (-15) \div (-3) = 5 $
→ Negative ÷ Negative = Positive

26. $ (-6) + (-9) = -15 $
→ Add absolute values, keep negative

27. $ (-32) \div 4 = -8 $
→ Negative ÷ Positive = Negative

28. $ (-7) \times 7 = -49 $
→ Negative × Positive = Negative

29. $ 8 \times (-7) = -56 $
→ Positive × Negative = Negative

30. $ (-7) + (-9) = -16 $
→ Add absolute values, keep negative

31. $ (-11) - 8 = -11 - 8 = -19 $
→ Think as $ -11 + (-8) $

32. $ 8 \div (-2) = -4 $
→ Positive ÷ Negative = Negative

33. $ 21 - (-3) = 21 + 3 = 24 $

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✔ Final Answers:

1. 5
2. -12
3. -5
4. 5
5. 75
6. -102
7. 2
8. 24
9. -6
10. -16
11. 7
12. -8
13. 0
14. 45
15. 12
16. 2
17. 0
18. 11
19. 16
20. -5
21. -6
22. -1
23. 0
24. -6
25. 5
26. -15
27. -8
28. -49
29. -56
30. -16
31. -19
32. -4
33. 24

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