Mixed Operations Integers worksheet with 30 problems for practicing integer arithmetic.

Let's solve each of these mixed operations with integers step by step, applying the rules for adding, subtracting, multiplying, and dividing positive and negative numbers.

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Rules Reminder:

- Addition/Subtraction:
- Same signs: Add absolute values, keep sign.
- Different signs: Subtract smaller from larger, take sign of larger.
- Subtracting a negative = adding a positive.
- Multiplication/Division:
- Same signs → Positive result.
- Different signs → Negative result.

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Now let’s go through each problem:

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1. $(-34) - (-25) = -34 + 25 = -9$
→ Subtracting a negative is adding: $-34 + 25 = -9$

2. $-90 ÷ (-3) = 30$
→ Negative ÷ negative = positive: $90 ÷ 3 = 30$

3. $13 × (-4) = -52$
→ Positive × negative = negative: $13×4=52$, so $-52$

4. $(-13) + 20 = 7$
→ Different signs: $20 - 13 = 7$, positive because 20 > 13

5. $23 - (-6) = 23 + 6 = 29$
→ Subtracting a negative = adding: $23 + 6 = 29$

6. $-42 ÷ (-7) = 6$
→ Negative ÷ negative = positive: $42 ÷ 7 = 6$

7. $(-45) + (-87) = -132$
→ Adding two negatives: $45 + 87 = 132$, so $-132$

8. $15 × (-11) = -165$
→ Positive × negative = negative: $15×11 = 165$, so $-165$

9. $(-12) - 14 = -12 - 14 = -26$
→ Subtracting a positive: $-12 - 14 = -26$

10. $-16 ÷ (-4) = 4$
→ Negative ÷ negative = positive: $16 ÷ 4 = 4$

11. $22 × (-3) = -66$
→ Positive × negative = negative: $22×3 = 66$, so $-66$

12. $34 - (-7) = 34 + 7 = 41$
→ Subtracting a negative = adding: $34 + 7 = 41$

13. $(-44) + 3 = -41$
→ Different signs: $44 - 3 = 41$, negative because 44 > 3

14. $68 ÷ (-4) = -17$
→ Positive ÷ negative = negative: $68 ÷ 4 = 17$, so $-17$

15. $13 × (-5) = -65$
→ Positive × negative = negative: $13×5 = 65$, so $-65$

16. $56 + (-13) = 56 - 13 = 43$
→ Adding a negative = subtracting: $56 - 13 = 43$

17. $(-54) - (-23) = -54 + 23 = -31$
→ Subtracting a negative = adding: $-54 + 23 = -31$

18. $-72 ÷ (-9) = 8$
→ Negative ÷ negative = positive: $72 ÷ 9 = 8$

19. $(-34) × (-12) = 408$
→ Negative × negative = positive: $34×12 = 408$

20. $-31 + 54 = 23$
→ Different signs: $54 - 31 = 23$, positive because 54 > 31

21. $(-65) - (-43) = -65 + 43 = -22$
→ Subtracting a negative = adding: $-65 + 43 = -22$

22. $-84 ÷ 6 = -14$
→ Negative ÷ positive = negative: $84 ÷ 6 = 14$, so $-14$

23. $(-45) × (-38) = 1710$
→ Negative × negative = positive: $45×38 = 1710$

24. $(-34) - (-65) = -34 + 65 = 31$
→ Subtracting a negative = adding: $-34 + 65 = 31$

25. $(-27) + 67 = 40$
→ Different signs: $67 - 27 = 40$, positive because 67 > 27

26. $-16 × 12 = -192$
→ Negative × positive = negative: $16×12 = 192$, so $-192$

27. $(-87) - 21 = -108$
→ Subtracting a positive: $-87 - 21 = -108$

28. $-85 ÷ (-17) = 5$
→ Negative ÷ negative = positive: $85 ÷ 17 = 5$

29. $(-43) × (-67) = 2921$
→ Negative × negative = positive: $43×67 = 2921$

30. $(-99) - (-34) = -99 + 34 = -65$
→ Subtracting a negative = adding: $-99 + 34 = -65$

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✔ Final Answers:

1. -9
2. 30
3. -52
4. 7
5. 29
6. 6
7. -132
8. -165
9. -26
10. 4
11. -66
12. 41
13. -41
14. -17
15. -65
16. 43
17. -31
18. 8
19. 408
20. 23
21. -22
22. -14
23. 1710
24. 31
25. 40
26. -192
27. -108
28. 5
29. 2921
30. -65

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Let me know if you'd like this formatted as a printable worksheet or need explanations for any specific problems!