Adding integers worksheet grade 6 or 7 - addition of integers ... - Free Printable

Let's solve each of these 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 the result takes the sign of the number with the larger absolute value.

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Solutions:

1) $ 5 + (-17) $
→ Different signs: $ 17 - 5 = 12 $, and since 17 is larger and negative → -12
✔ -12

2) $ 3 + (-7) $
→ Different signs: $ 7 - 3 = 4 $, and 7 is larger and negative → -4
✔ -4

3) $ -8 + (-7) $
→ Same signs (both negative): $ 8 + 7 = 15 $, keep negative → -15
✔ -15

4) $ -4 + 10 $
→ Different signs: $ 10 - 4 = 6 $, and 10 is larger and positive → 6
✔ 6

5) $ 6 + (-12) $
→ Different signs: $ 12 - 6 = 6 $, and 12 is larger and negative → -6
✔ -6

6) $ -3 + 1 $
→ Different signs: $ 3 - 1 = 2 $, and 3 is larger and negative → -2
✔ -2

7) $ 5 + (-16) $
→ Different signs: $ 16 - 5 = 11 $, and 16 is larger and negative → -11
✔ -11

8) $ 0 + (-7) $
→ Adding zero doesn't change the number → -7
✔ -7

9) $ -10 + 4 $
→ Different signs: $ 10 - 4 = 6 $, and 10 is larger and negative → -6
✔ -6

10) $ -6 + (-13) $
→ Same signs: $ 6 + 13 = 19 $, keep negative → -19
✔ -19

11) $ 4 + (-5) $
→ Different signs: $ 5 - 4 = 1 $, and 5 is larger and negative → -1
✔ -1

12) $ -4 + (-15) $
→ Same signs: $ 4 + 15 = 19 $, keep negative → -19
✔ -19

13) $ -9 + 4 $
→ Different signs: $ 9 - 4 = 5 $, and 9 is larger and negative → -5
✔ -5

14) $ -19 + 4 $
→ Different signs: $ 19 - 4 = 15 $, and 19 is larger and negative → -15
✔ -15

15) $ -2 + (-12) $
→ Same signs: $ 2 + 12 = 14 $, keep negative → -14
✔ -14

16) $ 16 + (-3) $
→ Different signs: $ 16 - 3 = 13 $, and 16 is larger and positive → 13
✔ 13

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✔ Final Answers:

1) -12
2) -4
3) -15
4) 6
5) -6
6) -2
7) -11
8) -7
9) -6
10) -19
11) -1
12) -19
13) -5
14) -15
15) -14
16) 13

Let me know if you'd like a printable version or explanation for any specific problem!