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Worksheet for practicing addition of integers with problems involving positive and negative numbers.

A worksheet titled "Adding Integers (A)" with two columns of integer addition problems, including positive and negative numbers, designed for math practice.

A worksheet titled "Adding Integers (A)" with two columns of integer addition problems, including positive and negative numbers, designed for math practice.

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Show Answer Key & Explanations Step-by-step solution for: Adding Mixed Integers from -12 to 12 (25 Questions; Large Print ...
Let's solve each of the integer addition problems step by step. The key rule to remember when adding integers is:

- Same signs: Add the absolute values and keep the common sign.
- Different signs: Subtract the smaller absolute value from the larger one, and take 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 → negative (since –11 has larger absolute value)
= –2

2. 7 + (–11)
Different signs: 11 – 7 = 4 → negative
= –4

3. –2 + 11
Different signs: 11 – 2 = 9 → positive
= 9

4. –12 + 2
Different signs: 12 – 2 = 10 → negative
= –10

5. 8 + (–10)
Different signs: 10 – 8 = 2 → negative
= –2

6. –6 + (–12)
Same signs: 6 + 12 = 18 → negative
= –18

7. 9 + (–9)
Same absolute values, opposite signs → cancel out
= 0

8. 11 + 4
Same signs: 11 + 4 = 15 → positive
= 15

9. –12 + 10
Different signs: 12 – 10 = 2 → negative
= –2

10. 8 + 6
Same signs: 8 + 6 = 14 → positive
= 14

11. –8 + 12
Different signs: 12 – 8 = 4 → positive
= 4

12. 1 + 11
Same signs: 1 + 11 = 12 → positive
= 12

13. 10 + (–3)
Different signs: 10 – 3 = 7 → positive
= 7

---

Right Column:



1. 12 + 11
Same signs: 12 + 11 = 23 → positive
= 23

2. –7 + 8
Different signs: 8 – 7 = 1 → positive
= 1

3. –1 + 12
Different signs: 12 – 1 = 11 → positive
= 11

4. –9 + (–2)
Same signs: 9 + 2 = 11 → negative
= –11

5. 6 + 8
Same signs: 6 + 8 = 14 → positive
= 14

6. 3 + (–11)
Different signs: 11 – 3 = 8 → negative
= –8

7. 11 + (–10)
Different signs: 11 – 10 = 1 → positive
= 1

8. –12 + 6
Different signs: 12 – 6 = 6 → negative
= –6

9. –4 + (–11)
Same signs: 4 + 11 = 15 → negative
= –15

10. –1 + 4
Different signs: 4 – 1 = 3 → positive
= 3

11. –12 + (–8)
Same signs: 12 + 8 = 20 → negative
= –20

12. –10 + 10
Same absolute values, opposite signs → cancel out
= 0

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Final Answers:



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

---

Answer Key (All):

```
9 + (–11) = –2 12 + 11 = 23
7 + (–11) = –4 –7 + 8 = 1
–2 + 11 = 9 –1 + 12 = 11
–12 + 2 = –10 –9 + (–2) = –11
8 + (–10) = –2 6 + 8 = 14
–6 + (–12) = –18 3 + (–11) = –8
9 + (–9) = 0 11 + (–10) = 1
11 + 4 = 15 –12 + 6 = –6
–12 + 10 = –2 –4 + (–11) = –15
8 + 6 = 14 –1 + 4 = 3
–8 + 12 = 4 –12 + (–8) = –20
1 + 11 = 12 –10 + 10 = 0
10 + (–3) = 7
```

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