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 to Remember:
-
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: $ a - (-b) = a + b $
-
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. $(-34) - (-25) = -34 + 25 = -9$
✔ Answer: -9
2. $-90 ÷ (-3) = 30$
(Negative ÷ Negative = Positive)
✔ Answer: 30
3. $13 × (-4) = -52$
(Positive × Negative = Negative)
✔ Answer: -52
4. $(-13) + 20 = 7$
(Different signs: 20 - 13 = 7, positive since 20 > 13)
✔ Answer: 7
5. $23 - (-6) = 23 + 6 = 29$
✔ Answer: 29
6. $-42 ÷ (-7) = 6$
(Negative ÷ Negative = Positive)
✔ Answer: 6
7. $(-45) + (-87) = -132$
(Same signs: add, keep negative)
✔ Answer: -132
8. $15 × (-11) = -165$
(Positive × Negative = Negative)
✔ Answer: -165
9. $(-12) - 14 = -12 - 14 = -26$
✔ Answer: -26
10. $-16 ÷ (-4) = 4$
(Negative ÷ Negative = Positive)
✔ Answer: 4
11. $22 × (-3) = -66$
✔ Answer: -66
12. $34 - (-7) = 34 + 7 = 41$
✔ Answer: 41
13. $(-44) + 3 = -41$
(Different signs: 44 - 3 = 41, negative since 44 > 3)
✔ Answer: -41
14. $68 ÷ (-4) = -17$
(Positive ÷ Negative = Negative)
✔ Answer: -17
15. $13 × (-5) = -65$
✔ Answer: -65
16. $56 + (-13) = 56 - 13 = 43$
✔ Answer: 43
17. $(-54) - (-23) = -54 + 23 = -31$
✔ Answer: -31
18. $-72 ÷ (-9) = 8$
✔ Answer: 8
19. $(-34) × (-12) = 408$
(Negative × Negative = Positive)
✔ Answer: 408
20. $-31 + 54 = 23$
(Different signs: 54 - 31 = 23, positive)
✔ Answer: 23
21. $(-65) - (-43) = -65 + 43 = -22$
✔ Answer: -22
22. $-84 ÷ 6 = -14$
(Negative ÷ Positive = Negative)
✔ Answer: -14
23. $(-45) × (-38) = 1710$
(Negative × Negative = Positive)
✔ Answer: 1710
24. $(-34) - (-65) = -34 + 65 = 31$
✔ Answer: 31
25. $(-27) + 67 = 40$
(Different signs: 67 - 27 = 40, positive)
✔ Answer: 40
26. $-16 × 12 = -192$
(Negative × Positive = Negative)
✔ Answer: -192
27. $(-87) - 21 = -108$
✔ Answer: -108
28. $-85 ÷ (-17) = 5$
(Negative ÷ Negative = Positive)
✔ Answer: 5
29. $(-43) × (-67) = 2881$
(Negative × Negative = Positive)
✔ Answer: 2881
30. $(-99) - (-34) = -99 + 34 = -65$
✔ Answer: -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. 2881
30. -65
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Let me know if you'd like this in a printable format or need explanations for any specific problems!
Parent Tip: Review the logic above to help your child master the concept of mixed operations worksheet.
