Sure! Let’s solve each of the integer addition problems step by step. The key rules to remember when adding integers are:
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Same signs: Add the absolute values and keep the sign.
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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.
9 + (–11)
→ Different signs: |9| = 9, |–11| = 11 → 11 – 9 = 2 → sign of larger number (–11) is negative →
–2
2.
7 + (–11)
→ Different signs: |7| = 7, |–11| = 11 → 11 – 7 = 4 → sign of –11 →
–4
3.
–2 + 11
→ Different signs: |–2| = 2, |11| = 11 → 11 – 2 = 9 → sign of 11 →
9
4.
–12 + 2
→ Different signs: |–12| = 12, |2| = 2 → 12 – 2 = 10 → sign of –12 →
–10
5.
8 + (–10)
→ Different signs: |8| = 8, |–10| = 10 → 10 – 8 = 2 → sign of –10 →
–2
6.
–6 + (–12)
→ Same signs (both negative): 6 + 12 = 18 → keep negative →
–18
7.
9 + (–9)
→ Opposites → sum is
0
8.
11 + 4
→ Same signs (positive): 11 + 4 =
15
9.
–12 + 10
→ Different signs: |–12| = 12, |10| = 10 → 12 – 10 = 2 → sign of –12 →
–2
10.
8 + 6
→ Both positive: 8 + 6 =
14
11.
–8 + 12
→ Different signs: |–8| = 8, |12| = 12 → 12 – 8 = 4 → sign of 12 →
4
12.
1 + 11
→ Both positive: 1 + 11 =
12
13.
10 + (–3)
→ Different signs: |10| = 10, |–3| = 3 → 10 – 3 = 7 → sign of 10 →
7
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Right Column:
1.
12 + 11
→ Both positive: 12 + 11 =
23
2.
–7 + 8
→ Different signs: |–7| = 7, |8| = 8 → 8 – 7 = 1 → sign of 8 →
1
3.
–1 + 12
→ Different signs: |–1| = 1, |12| = 12 → 12 – 1 = 11 → sign of 12 →
11
4.
–9 + (–2)
→ Same signs (negative): 9 + 2 = 11 → keep negative →
–11
5.
6 + 8
→ Both positive: 6 + 8 =
14
6.
3 + (–11)
→ Different signs: |3| = 3, |–11| = 11 → 11 – 3 = 8 → sign of –11 →
–8
7.
11 + (–10)
→ Different signs: |11| = 11, |–10| = 10 → 11 – 10 = 1 → sign of 11 →
1
8.
–12 + 6
→ Different signs: |–12| = 12, |6| = 6 → 12 – 6 = 6 → sign of –12 →
–6
9.
–4 + (–11)
→ Same signs (negative): 4 + 11 = 15 → keep negative →
–15
10.
–1 + 4
→ Different signs: |–1| = 1, |4| = 4 → 4 – 1 = 3 → sign of 4 →
3
11.
–12 + (–8)
→ Same signs (negative): 12 + 8 = 20 → keep negative →
–20
12.
–10 + 10
→ Opposites → sum is
0
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✔ Final Answer Key:
Left Column:
1. –2
2. –4
3. 9
4. –10
5. –2
6. –18
7. 0
8. 15
9. –2
10. 14
11. 4
12. 12
13. 7
Right Column:
1. 23
2. 1
3. 11
4. –11
5. 14
6. –8
7. 1
8. –6
9. –15
10. 3
11. –20
12. 0
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Let me know if you’d like a printable version or a worksheet with answers filled in! 😊
Parent Tip: Review the logic above to help your child master the concept of addition integers worksheet.
