Adding Integers Worksheet (printable, online, answers, examples) - Free Printable

Let's solve each of these integer addition problems step by step. The key rules for adding integers are:

1. Same signs: Add the absolute values and keep the common sign.
2. 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. $(+8) + (-2)$
Different signs: $8 - 2 = 6$, and since 8 is larger and positive → +6
✔ 6

2. $(-6) + (-9)$
Same signs (both negative): $6 + 9 = 15$, keep negative → -15
✔ -15

3. $(-5) + (+7)$
Different signs: $7 - 5 = 2$, and 7 is larger and positive → +2
✔ 2

4. $(-4) + (+3)$
Different signs: $4 - 3 = 1$, 4 is larger and negative → -1
✔ -1

5. $(+9) + (-4)$
Different signs: $9 - 4 = 5$, 9 is larger and positive → +5
✔ 5

6. $(+3) + (+9)$
Same signs (both positive): $3 + 9 = 12$ → +12
✔ 12

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

8. $(+4) + (-5)$
Different signs: $5 - 4 = 1$, 5 is larger and negative → -1
✔ -1

9. $(-3) + (+5)$
Different signs: $5 - 3 = 2$, 5 is larger and positive → +2
✔ 2

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

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Right Column:

1. $6 + (-1)$
Different signs: $6 - 1 = 5$, 6 is larger and positive → +5
✔ 5

2. $-4 + 7$
Different signs: $7 - 4 = 3$, 7 is larger and positive → +3
✔ 3

3. $3 + (-1)$
Different signs: $3 - 1 = 2$, 3 is larger and positive → +2
✔ 2

4. $7 + (-1)$
Different signs: $7 - 1 = 6$, 7 is larger and positive → +6
✔ 6

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

6. $-9 + (-1)$
Same signs (both negative): $9 + 1 = 10$, keep negative → -10
✔ -10

7. $-5 + (-7)$
Same signs: $5 + 7 = 12$, keep negative → -12
✔ -12

8. $-1 + 2$
Different signs: $2 - 1 = 1$, 2 is larger and positive → +1
✔ 1

9. $6 + (-5)$
Different signs: $6 - 5 = 1$, 6 is larger and positive → +1
✔ 1

10. $-7 + (-7)$
Same signs: $7 + 7 = 14$, keep negative → -14
✔ -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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✔ All answers solved! Let me know if you'd like this formatted as a printable sheet or need explanations in another format.