Let's solve each of the operations step by step, following the rules for integers (positive and negative numbers).
---
1. 10 + (-15)
Adding a negative is the same as subtracting:
$$
10 - 15 = -5
$$
✔ Answer: -5
---
2. -12 × (-4)
Multiplying two negatives gives a positive:
$$
-12 × (-4) = 48
$$
✔ Answer: 48
---
3. -18 - (-22)
Subtracting a negative is the same as adding:
$$
-18 + 22 = 4
$$
✔ Answer: 4
---
4. -45 ÷ 9
Dividing a negative by a positive gives a negative:
$$
-45 ÷ 9 = -5
$$
✔ Answer: -5
---
5. -107 - (-13)
Subtracting a negative becomes addition:
$$
-107 + 13 = -94
$$
✔ Answer: -94
---
6. 48 + (-16)
Adding a negative is subtraction:
$$
48 - 16 = 32
$$
✔ Answer: 32
---
7. 110 ÷ (-10)
Positive divided by negative is negative:
$$
110 ÷ (-10) = -11
$$
✔ Answer: -11
---
8. 25 + (-15)
Same as 25 - 15:
$$
25 - 15 = 10
$$
✔ Answer: 10
---
9. -28 - (-19)
Subtracting a negative becomes addition:
$$
-28 + 19 = -9
$$
✔ Answer: -9
---
10. 19 × (-3)
Positive times negative is negative:
$$
19 × (-3) = -57
$$
✔ Answer: -57
---
11. -144 ÷ (-12)
Negative divided by negative is positive:
$$
-144 ÷ (-12) = 12
$$
✔ Answer: 12
---
12. 15 + (-13)
Same as 15 - 13:
$$
15 - 13 = 2
$$
✔ Answer: 2
---
13. 20 - (-7)
Subtracting a negative is adding:
$$
20 + 7 = 27
$$
✔ Answer: 27
---
14. 112 ÷ (-4)
Positive divided by negative is negative:
$$
112 ÷ (-4) = -28
$$
✔ Answer: -28
---
15. 85 - (15)
Simple subtraction:
$$
85 - 15 = 70
$$
✔ Answer: 70
---
16. 67 + (-27)
Same as 67 - 27:
$$
67 - 27 = 40
$$
✔ Answer: 40
---
✔ Final Answers Table:
| Expression | Answer |
|------------------------|--------|
| 10 + (-15) | -5 |
| -12 × (-4) | 48 |
| -18 - (-22) | 4 |
| -45 ÷ 9 | -5 |
| -107 - (-13) | -94 |
| 48 + (-16) | 32 |
| 110 ÷ (-10) | -11 |
| 25 + (-15) | 10 |
| -28 - (-19) | -9 |
| 19 × (-3) | -57 |
| -144 ÷ (-12) | 12 |
| 15 + (-13) | 2 |
| 20 - (-7) | 27 |
| 112 ÷ (-4) | -28 |
| 85 - (15) | 70 |
| 67 + (-27) | 40 |
---
🔍 Key Rules Used:
-
Addition/Subtraction:
- Adding a negative = subtracting.
- Subtracting a negative = adding.
-
Multiplication/Division:
- Same signs → positive.
- Different signs → negative.
Let me know if you'd like this in printable format or with explanations for students!
Parent Tip: Review the logic above to help your child master the concept of operation with integers worksheet.
