Let's solve each of these addition problems step by step. We are adding integers, including positive and negative numbers.
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Rules to remember:
- Adding two positive numbers: add their absolute values, result is positive.
- Adding two negative numbers: add their absolute values, result is negative.
- Adding a positive and a negative: subtract the smaller absolute value from the larger one, and the sign of the result matches the number with the larger absolute value.
- Adding zero doesn’t change the value.
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Now let’s solve each:
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1) (+8) + (+6) + (+2) =
= 8 + 6 + 2 =
16
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2) (+2) + (+1) + (-8) =
= (2 + 1) - 8 = 3 - 8 =
-5
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3) (+2) + (-9) + (+1) =
= (2 + 1) - 9 = 3 - 9 =
-6
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4) (-8) + (+2) + (-6) =
= -8 + 2 - 6 = (-8 - 6) + 2 = -14 + 2 =
-12
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5) (-2) + (-9) + (0) =
= -2 - 9 + 0 =
-11
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6) (+9) + (+4) + (-5) =
= 9 + 4 - 5 = 13 - 5 =
8
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7) (+1) + (+5) + (0) =
= 1 + 5 + 0 =
6
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8) (-6) + (-9) + (-9) =
= -6 - 9 - 9 =
-24
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9) (+2) + (+5) + (+5) =
= 2 + 5 + 5 =
12
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10) (+5) + (+8) + (-6) =
= 5 + 8 - 6 = 13 - 6 =
7
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11) (0) + (-5) + (+8) =
= -5 + 8 =
3
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12) (-8) + (-2) + (-8) =
= -8 - 2 - 8 =
-18
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13) (-1) + (+4) + (+1) =
= -1 + 4 + 1 = (4 + 1) - 1 = 5 - 1 =
4
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14) (0) + (-7) + (+1) =
= -7 + 1 =
-6
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15) (+9) + (+4) + (+1) =
= 9 + 4 + 1 =
14
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16) (+4) + (0) + (+5) =
= 4 + 0 + 5 =
9
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17) (-1) + (+4) + (-6) =
= -1 + 4 - 6 = (4) - (1 + 6) = 4 - 7 =
-3
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18) (+2) + (+3) + (+8) =
= 2 + 3 + 8 =
13
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19) (+2) + (+7) + (+5) =
= 2 + 7 + 5 =
14
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20) (+6) + (-7) + (0) =
= 6 - 7 + 0 =
-1
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✔ Final Answers:
1)
16
2)
-5
3)
-6
4)
-12
5)
-11
6)
8
7)
6
8)
-24
9)
12
10)
7
11)
3
12)
-18
13)
4
14)
-6
15)
14
16)
9
17)
-3
18)
13
19)
14
20)
-1
Let me know if you'd like this in a printable format or with explanations for each!
Parent Tip: Review the logic above to help your child master the concept of math worksheet integers.