Let's solve each of the 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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Solutions:
1)
8 + 20
Both positive → 8 + 20 =
28
2)
(-15) + (-3)
Both negative → -(15 + 3) =
-18
3)
17 + (-19)
Different signs → 19 - 17 = 2, and since 19 is larger and negative →
-2
4)
(-6) + 20
Different signs → 20 - 6 = 14, and 20 is larger and positive →
14
5)
(-11) + 4
Different signs → 11 - 4 = 7, and 11 is larger and negative →
-7
6)
18 + (-17)
Different signs → 18 - 17 = 1, and 18 is larger and positive →
1
7)
(-7) + (-10)
Both negative → -(7 + 10) =
-17
8)
10 + 2
Both positive → 10 + 2 =
12
9)
4 + (-16)
Different signs → 16 - 4 = 12, and 16 is larger and negative →
-12
10)
(-1) + (-14)
Both negative → -(1 + 14) =
-15
11)
15 + 9
Both positive → 15 + 9 =
24
12)
(-8) + 16
Different signs → 16 - 8 = 8, and 16 is larger and positive →
8
13)
(-12) + 14
Different signs → 14 - 12 = 2, and 14 is larger and positive →
2
14)
13 + (-9)
Different signs → 13 - 9 = 4, and 13 is larger and positive →
4
15)
(-18) + (-5)
Both negative → -(18 + 5) =
-23
16)
(-20) + 11
Different signs → 20 - 11 = 9, and 20 is larger and negative →
-9
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✔ Final Answers:
1) 28
2) -18
3) -2
4) 14
5) -7
6) 1
7) -17
8) 12
9) -12
10) -15
11) 24
12) 8
13) 2
14) 4
15) -23
16) -9
Let me know if you'd like this in a printable format or need help with subtraction of integers too!
Parent Tip: Review the logic above to help your child master the concept of 7th grade integer worksheet.