Grade 5 integers worksheet for practicing addition of positive and negative numbers.

Let's solve each of the integer addition problems step by step. The goal is to find the sum of each pair of integers.

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Rules for Adding Integers:

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 the result takes the sign of the number with the larger absolute value.

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Now let's go through each problem:

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1) 5 + (-17)
→ Different signs: |5| = 5, |-17| = 17 → 17 - 5 = 12
→ Since -17 has a larger absolute value, the result is negative.
✔ -12

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2) 3 + (-7)
→ Different signs: |3| = 3, |-7| = 7 → 7 - 3 = 4
→ -7 has larger absolute value → negative
✔ -4

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3) -8 + (-7)
→ Same signs (both negative): add absolute values → 8 + 7 = 15
→ Keep negative sign
✔ -15

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4) -4 + 10
→ Different signs: |-4| = 4, |10| = 10 → 10 - 4 = 6
→ 10 is positive and larger → positive result
✔ 6

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5) 6 + (-12)
→ Different signs: |6| = 6, |-12| = 12 → 12 - 6 = 6
→ -12 has larger absolute value → negative
✔ -6

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6) -3 + 1
→ Different signs: |-3| = 3, |1| = 1 → 3 - 1 = 2
→ -3 has larger absolute value → negative
✔ -2

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7) 5 + (-16)
→ Different signs: |5| = 5, |-16| = 16 → 16 - 5 = 11
→ -16 is larger → negative
✔ -11

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8) 0 + (-7)
→ Any number plus zero is itself
✔ -7

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9) -10 + 4
→ Different signs: |-10| = 10, |4| = 4 → 10 - 4 = 6
→ -10 is larger → negative
✔ -6

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10) -6 + (-13)
→ Same signs (both negative): 6 + 13 = 19 → negative
✔ -19

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11) 4 + (-5)
→ Different signs: |4| = 4, |-5| = 5 → 5 - 4 = 1
→ -5 is larger → negative
✔ -1

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12) -4 + (-15)
→ Both negative: 4 + 15 = 19 → negative
✔ -19

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13) -9 + 4
→ Different signs: |-9| = 9, |4| = 4 → 9 - 4 = 5
→ -9 is larger → negative
✔ -5

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14) -19 + 4
→ Different signs: |-19| = 19, |4| = 4 → 19 - 4 = 15
→ -19 is larger → negative
✔ -15

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15) -2 + (-12)
→ Both negative: 2 + 12 = 14 → negative
✔ -14

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16) 18 + (-3)
→ Different signs: |18| = 18, |-3| = 3 → 18 - 3 = 15
→ 18 is positive and larger → positive
✔ 15

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17) -8 + (-14)
→ Both negative: 8 + 14 = 22 → negative
✔ -22

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18) -4 + (-2)
→ Both negative: 4 + 2 = 6 → negative
✔ -6

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19) -7 + (-12)
→ Both negative: 7 + 12 = 19 → negative
✔ -19

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20) -13 + (-2)
→ Both negative: 13 + 2 = 15 → negative
✔ -15

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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) 15
17) -22
18) -6
19) -19
20) -15

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Let me know if you'd like this in a printable format or need explanations for specific ones!