Integers Worksheets for Grade 6 - Math Monks - Free Printable

Let's solve each of these addition problems involving three integers step by step. We'll follow the rules for adding positive and negative integers:

- Adding two numbers with the same sign: Add their absolute values and keep the common sign.
- Adding two numbers with different signs: Subtract the smaller absolute value from the larger one, and use the sign of the number with the larger absolute value.

We'll go through each problem:

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1. $ 5 + (-3) + (-18) $

First: $ 5 + (-3) = 2 $
Then: $ 2 + (-18) = -16 $

✔ Answer: -16

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2. $ (-11) + 18 + 5 $

First: $ (-11) + 18 = 7 $
Then: $ 7 + 5 = 12 $

✔ Answer: 12

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3. $ (-10) + 9 + (-2) $

First: $ (-10) + 9 = -1 $
Then: $ -1 + (-2) = -3 $

✔ Answer: -3

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4. $ (-1) + 3 + 2 $

First: $ (-1) + 3 = 2 $
Then: $ 2 + 2 = 4 $

✔ Answer: 4

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5. $ (-13) + (-14) + (-5) $

All are negative: add absolute values: $ 13 + 14 + 5 = 32 $ → $ -32 $

✔ Answer: -32

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6. $ (-8) + (-19) + (-1) $

Add all negatives: $ 8 + 19 + 1 = 28 $ → $ -28 $

✔ Answer: -28

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7. $ 2 + (-11) + (-15) $

First: $ 2 + (-11) = -9 $
Then: $ -9 + (-15) = -24 $

✔ Answer: -24

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8. $ (-11) + (-17) + (-18) $

All negative: $ 11 + 17 + 18 = 46 $ → $ -46 $

✔ Answer: -46

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9. $ (-16) + (-10) + 19 $

First: $ (-16) + (-10) = -26 $
Then: $ -26 + 19 = -7 $

✔ Answer: -7

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10. $ (-4) + (-11) + (-7) $

All negative: $ 4 + 11 + 7 = 22 $ → $ -22 $

✔ Answer: -22

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11. $ (-13) + (-14) + (-15) $

All negative: $ 13 + 14 + 15 = 42 $ → $ -42 $

✔ Answer: -42

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12. $ 9 + 10 + 2 $

All positive: $ 9 + 10 + 2 = 21 $

✔ Answer: 21

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13. $ (-17) + (-15) + (-11) $

All negative: $ 17 + 15 + 11 = 43 $ → $ -43 $

✔ Answer: -43

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14. $ (-5) + 0 + (-3) $

$ (-5) + 0 = -5 $, then $ -5 + (-3) = -8 $

✔ Answer: -8

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15. $ 19 + 1 + (-3) $

$ 19 + 1 = 20 $, then $ 20 + (-3) = 17 $

✔ Answer: 17

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16. $ (-15) + 5 + (-10) $

First: $ (-15) + 5 = -10 $
Then: $ -10 + (-10) = -20 $

✔ Answer: -20

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17. $ (-10) + (-6) + 1 $

First: $ (-10) + (-6) = -16 $
Then: $ -16 + 1 = -15 $

✔ Answer: -15

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18. $ 9 + (-12) + (-2) $

First: $ 9 + (-12) = -3 $
Then: $ -3 + (-2) = -5 $

✔ Answer: -5

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19. $ (-7) + (-4) + (-17) $

All negative: $ 7 + 4 + 17 = 28 $ → $ -28 $

✔ Answer: -28

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20. $ (-5) + 7 + (-9) $

First: $ (-5) + 7 = 2 $
Then: $ 2 + (-9) = -7 $

✔ Answer: -7

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✔ Final Answers:

1. -16
2. 12
3. -3
4. 4
5. -32
6. -28
7. -24
8. -46
9. -7
10. -22
11. -42
12. 21
13. -43
14. -8
15. 17
16. -20
17. -15
18. -5
19. -28
20. -7

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