To solve these integer addition problems, we need to follow two simple rules:
1.
Same Signs: If both numbers have the same sign (both positive or both negative), add their values together and keep that sign.
* Example: $5 + 3 = 8$ and $-5 + (-3) = -8$.
2.
Different Signs: If one number is positive and one is negative, subtract the smaller value from the larger value. The answer takes the sign of the number with the larger absolute value.
* Example: $-5 + 3$: Since 5 is bigger than 3, we subtract ($5-3=2$). Because the 5 was negative, the answer is $-2$.
Let's work through each problem step-by-step:
1.
(-20) + (-2)
* Both are negative. Add them up.
* $20 + 2 = 22$. Keep the negative sign.
* Answer:
-22
2.
(-29) + 15
* Different signs. Subtract 15 from 29.
* $29 - 15 = 14$. The larger number (29) was negative, so the result is negative.
* Answer:
-14
3.
18 + 9
* Both are positive. Just add them.
* $18 + 9 = 27$.
* Answer:
27
4.
12 + (-6)
* Different signs. Subtract 6 from 12.
* $12 - 6 = 6$. The larger number (12) was positive, so the result is positive.
* Answer:
6
5.
(-11) + 4
* Different signs. Subtract 4 from 11.
* $11 - 4 = 7$. The larger number (11) was negative, so the result is negative.
* Answer:
-7
6.
(-7) + (-10)
* Both are negative. Add them.
* $7 + 10 = 17$. Keep the negative sign.
* Answer:
-17
7.
8 + 16
* Both are positive. Add them.
* $8 + 16 = 24$.
* Answer:
24
8.
24 + (-1)
* Different signs. Subtract 1 from 24.
* $24 - 1 = 23$. The larger number (24) was positive.
* Answer:
23
9.
(-15) + (-1)
* Both are negative. Add them.
* $15 + 1 = 16$. Keep the negative sign.
* Answer:
-16
10.
(-2) + 2
* Different signs. They are equal in size.
* $2 - 2 = 0$.
* Answer:
0
11.
(-14) + 6
* Different signs. Subtract 6 from 14.
* $14 - 6 = 8$. The larger number (14) was negative.
* Answer:
-8
12.
19 + (-9)
* Different signs. Subtract 9 from 19.
* $19 - 9 = 10$. The larger number (19) was positive.
* Answer:
10
13.
28 + 0
* Adding zero doesn't change anything.
* Answer:
28
14.
(-1) + (-13)
* Both are negative. Add them.
* $1 + 13 = 14$. Keep the negative sign.
* Answer:
-14
15.
(-23) + 7
* Different signs. Subtract 7 from 23.
* $23 - 7 = 16$. The larger number (23) was negative.
* Answer:
-16
16.
25 + (-5)
* Different signs. Subtract 5 from 25.
* $25 - 5 = 20$. The larger number (25) was positive.
* Answer:
20
Final Answer:
1) -22
2) -14
3) 27
4) 6
5) -7
6) -17
7) 24
8) 23
9) -16
10) 0
11) -8
12) 10
13) 28
14) -14
15) -16
16) 20
Parent Tip: Review the logic above to help your child master the concept of adding integers worksheet 7th grade.
