Adding Integers worksheet with 16 problems for students to find the sum of positive and negative numbers.

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 $|-17| > |5|$, the answer is negative.
Answer: $-12$

2) $ 3 + (-7) $
→ Different signs: $ 7 - 3 = 4 $, $|-7| > |3|$, so negative.
Answer: $-4$

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

4) $ -4 + 10 $
→ Different signs: $ 10 - 4 = 6 $, $|10| > |-4|$, so positive.
Answer: $6$

5) $ 6 + (-12) $
→ Different signs: $ 12 - 6 = 6 $, $|-12| > |6|$, so negative.
Answer: $-6$

6) $ -3 + 1 $
→ Different signs: $ 3 - 1 = 2 $, $|-3| > |1|$, so negative.
Answer: $-2$

7) $ 5 + (-16) $
→ Different signs: $ 16 - 5 = 11 $, $|-16| > |5|$, so negative.
Answer: $-11$

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

9) $ -10 + 4 $
→ Different signs: $ 10 - 4 = 6 $, $|-10| > |4|$, so negative.
Answer: $-6$

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

11) $ 4 + (-5) $
→ Different signs: $ 5 - 4 = 1 $, $|-5| > |4|$, so negative.
Answer: $-1$

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

13) $ -9 + 4 $
→ Different signs: $ 9 - 4 = 5 $, $|-9| > |4|$, so negative.
Answer: $-5$

14) $ -19 + 4 $
→ Different signs: $ 19 - 4 = 15 $, $|-19| > |4|$, so negative.
Answer: $-15$

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

16) $ 16 + (-3) $
→ Different signs: $ 16 - 3 = 13 $, $|16| > |-3|$, so positive.
Answer: $13$

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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!