Here's the complete solution to the
Integer Addition and Subtraction worksheet, with step-by-step explanations for each problem.
---
✔ Left Column Solutions
1.
9 + 0 = 9
*Adding zero to any number leaves it unchanged.*
2.
(-6) + 8 = 2
*Start at -6 on the number line, move 8 units right → lands on 2.*
3.
(-4) + 5 = 1
*Start at -4, move 5 right → lands on 1.*
4.
4 + (-2) = 2
*Adding a negative is like subtracting: 4 - 2 = 2.*
5.
(-6) + 5 = -1
*Start at -6, move 5 right → lands on -1.*
6.
7 - 8 = -1
*Subtracting a larger number from a smaller one gives a negative: 7 - 8 = -(8 - 7) = -1.*
7.
(-5) - 7 = -12
*Subtracting 7 from -5: go 7 more left from -5 → -12.*
8.
4 + (-7) = -3
*4 - 7 = -3.*
9.
6 - 10 = -4
*6 - 10 = -(10 - 6) = -4.*
10.
9 + (-3) = 6
*9 - 3 = 6.*
---
✔ Right Column Solutions
1.
-6 + (-2) = -8
*Adding two negatives: add absolute values and keep negative sign: 6 + 2 = 8 → -8.*
2.
4 + (-8) = -4
*4 - 8 = -4.*
3.
8 - 10 = -2
*8 - 10 = -(10 - 8) = -2.*
4.
9 - (-4) = 13
*Subtracting a negative is adding the positive: 9 + 4 = 13.*
5.
8 + 6 = 14
*Simple addition: 8 + 6 = 14.*
6.
-5 + 5 = 0
*Opposites cancel out: -5 + 5 = 0.*
7.
9 + (-12) = -3
*9 - 12 = -3.*
8.
4 - 9 = -5
*4 - 9 = -(9 - 4) = -5.*
9.
(-5) - 6 = -11
*Start at -5, subtract 6 → go 6 left → -11.*
10.
3 - (-8) = 11
*Subtracting a negative: 3 + 8 = 11.*
---
## 📝 Final Answer Key:
Left Column:
```
9
2
1
2
-1
-1
-12
-3
-4
6
```
Right Column:
```
-8
-4
-2
13
14
0
-3
-5
-11
11
```
---
## 💡 Quick Rules Recap:
-
Adding two positives → Add normally.
-
Adding two negatives → Add absolute values, keep negative sign.
-
Adding positive + negative → Subtract smaller from larger, keep sign of larger absolute value.
-
Subtracting a positive → Move left on number line.
-
Subtracting a negative →
Add the positive! (e.g., `a - (-b) = a + b`)
Let me know if you’d like a printable version or visual number line diagrams for any problems!
Parent Tip: Review the logic above to help your child master the concept of worksheet addition and subtraction of integers.
