Math worksheet for practicing addition of integers with various combinations of positive and negative numbers.

Sure! Let’s solve each of these integer addition problems step by step. The key rules to remember when adding integers are:

- Same signs: Add the absolute values and keep the sign.
- Different signs: Subtract the smaller absolute value from the larger one, and keep the sign of the number with the larger absolute value.

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Left Column:

1. (+8) + (-2)
→ Different signs: 8 - 2 = 6 → Sign of larger number (8 is positive) → +6

2. (-6) + (-9)
→ Same signs: 6 + 9 = 15 → Keep negative sign → -15

3. (-5) + (+7)
→ Different signs: 7 - 5 = 2 → Sign of larger number (7 is positive) → +2

4. (-4) + (+3)
→ Different signs: 4 - 3 = 1 → Sign of larger number (4 is negative) → -1

5. (+9) + (-4)
→ Different signs: 9 - 4 = 5 → Sign of larger number (9 is positive) → +5

6. (+3) + (+9)
→ Same signs: 3 + 9 = 12 → Keep positive → +12

7. (+6) + (+3)
→ Same signs: 6 + 3 = 9 → Positive → +9

8. (+4) + (-5)
→ Different signs: 5 - 4 = 1 → Sign of larger number (5 is negative) → -1

9. (-3) + (+5)
→ Different signs: 5 - 3 = 2 → Sign of larger number (5 is positive) → +2

10. (+9) + (+1)
→ Same signs: 9 + 1 = 10 → Positive → +10

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Right Column:

1. 6 + (-1)
→ Different signs: 6 - 1 = 5 → Sign of 6 (positive) → +5

2. -4 + 7
→ Different signs: 7 - 4 = 3 → Sign of 7 (positive) → +3

3. 3 + (-1)
→ Different signs: 3 - 1 = 2 → Sign of 3 (positive) → +2

4. 7 + (-1)
→ Different signs: 7 - 1 = 6 → Positive → +6

5. 2 + (-2)
→ Different signs: 2 - 2 = 0 → 0

6. -9 + (-1)
→ Same signs: 9 + 1 = 10 → Negative → -10

7. -5 + (-7)
→ Same signs: 5 + 7 = 12 → Negative → -12

8. -1 + 2
→ Different signs: 2 - 1 = 1 → Sign of 2 (positive) → +1

9. 6 + (-5)
→ Different signs: 6 - 5 = 1 → Positive → +1

10. -7 + (-7)
→ Same signs: 7 + 7 = 14 → Negative → -14

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✔ Final Answers:

Left Column:
1. +6
2. -15
3. +2
4. -1
5. +5
6. +12
7. +9
8. -1
9. +2
10. +10

Right Column:
1. +5
2. +3
3. +2
4. +6
5. 0
6. -10
7. -12
8. +1
9. +1
10. -14

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Let me know if you’d like a visual number line explanation for any of these!