Sure! Let’s solve each of the
integer addition and subtraction problems step by step. The key rules to remember:
- Subtracting a negative is the same as adding a positive:
`a - (-b) = a + b`
- Adding a negative is the same as subtracting a positive:
`a + (-b) = a - b`
- When adding two numbers with different signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.
- When adding two numbers with the same sign, add their absolute values and keep the sign.
---
Let’s go row by row:
---
Row 1:
1.
-10 - (-6)
→ -10 + 6 =
-4
2.
13 - (-6)
→ 13 + 6 =
19
3.
-16 - (-12)
→ -16 + 12 =
-4
---
Row 2:
4.
18 - (-2)
→ 18 + 2 =
20
5.
-15 + 16
→ 16 - 15 =
1
6.
19 + (-15)
→ 19 - 15 =
4
---
Row 3:
7.
-20 + 15
→ 15 - 20 =
-5
8.
15 - (-4)
→ 15 + 4 =
19
9.
-10 + (-10)
→ -10 - 10 =
-20
---
Row 4:
10.
-13 - (-10)
→ -13 + 10 =
-3
11.
-14 - 4
→ -14 - 4 =
-18
12.
-6 - (-20)
→ -6 + 20 =
14
---
Row 5:
13.
18 + (-17)
→ 18 - 17 =
1
14.
-17 - (-20)
→ -17 + 20 =
3
15.
-11 - 5
→ -11 - 5 =
-16
---
Row 6:
16.
-12 - 5
→ -12 - 5 =
-17
17.
-20 - (-10)
→ -20 + 10 =
-10
18.
-6 - (-20)
→ -6 + 20 =
14 *(Same as #12)*
---
Row 7:
19.
-4 + 14
→ 14 - 4 =
10
20.
-12 - 5
→ -12 - 5 =
-17 *(Same as #16)*
21.
-11 + 10
→ 10 - 11 =
-1
---
Row 8:
22.
12 - (-3)
→ 12 + 3 =
15
23.
-12 - (-10)
→ -12 + 10 =
-2
24.
-20 - (-9)
→ -20 + 9 =
-11
---
Row 9:
25.
-16 - 2
→ -16 - 2 =
-18
26.
17 + (-4)
→ 17 - 4 =
13
27.
-12 + 10
→ 10 - 12 =
-2
---
##
✔ Final Answers (in order):
```
-4, 19, -4
20, 1, 4
-5, 19, -20
-3, -18, 14
1, 3, -16
-17, -10, 14
10, -17, -1
15, -2, -11
-18, 13, -2
```
---
## 📝 Tips for Students:
- Always rewrite subtraction of negatives as addition:
`a - (-b) → a + b`
- Keep track of signs carefully — especially when both numbers are negative or have different signs.
- Use a number line if you’re unsure: moving right for positive, left for negative.
Let me know if you’d like this in a printable answer sheet format! 😊
Parent Tip: Review the logic above to help your child master the concept of subtracting integers worksheet with answer key.
