We have learned how to add integers and in the previous post, I have given you practice exercises that you can use to evaluate your understanding of the topic. Below is the complete solutions to the practice exercises on adding integers. Share to me how many did you get right.

Solutions to Practice Exercises on Addition of Integers

1. 28 + 12 = 40.

2. ^–14 + ^–11 = ^–25

3. 24 + ^–15 = 9

Solution: We pair 15 and ^–15  to get 0. We have 9  left. So, the correct answer is 9.

^{4. –}16 + 31 = 15

We pair ^–16  and 16 to get 0. We are left with positive 15.
5. 23 + 46 + ^–15 = 54

We add the two positive numbers first: 23 + 46 = 69. Next, we add 69 and ^–15. We get 15 from 69 and pair it with ^–15 resulting to 0, so we have 54 left.

6. 45 + ^–12 + ^–16 = 17

We add the negative numbers first: ^–12 + ^–16 = ^–28. We add the result to 45. We get 28 from 45 and pair it with  ^–28 to get 0 leaving 17.

7. ^–12 +^–15 + ^–62 =  ^–89

Explanation: They are negative, so we just added them. Of course negative added to negative is always negative.

8. 22 +  ^–36 + 36 = 22

Explanation: ^–36 + 36 = 0, so we are left with 22.

9. 12 + 18 + ^–12 + ^–18 = 0

Explanation: 12 and ^–12 and 18 and ^–18 = 0.

10. 31 + 55 + ^–41 + ^– 32 + ^–10 = 3

Explanation: Adding the positive integers, we have 31 + 55  = 86. Adding the negative integers, we have  ^–41 + ^– 32 + ^–10 =^–83. Now, 86 + ^–83 = 3