Adding and Subtracting Integers practice worksheet with 22 problems.

Let's solve each of these integer addition and subtraction problems step by step. We'll use the rules for adding and subtracting integers:

Rules:

- Adding two positive numbers: Add them normally.
- Adding two negative numbers: Add their absolute values and keep the negative sign.
- Adding a positive and a negative number: Subtract the smaller absolute value from the larger, and use the sign of the number with the larger absolute value.
- Subtracting a negative number is the same as adding its positive counterpart.

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We’ll go through each problem:

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1) $ 8 + (-23) - (-5) $

= $ 8 - 23 + 5 $
= $ (8 + 5) - 23 = 13 - 23 = -10 $

✔ Answer: -10

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2) $ (-43) + 13 - (-9) $

= $ -43 + 13 + 9 $
= $ (-43 + 13) + 9 = -30 + 9 = -21 $

✔ Answer: -21

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3) $ (-47) + (-12) $

= $ -47 - 12 = -59 $

✔ Answer: -59

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4) $ (-15) + (-13) + (-25) $

= $ -15 -13 -25 = -(15+13+25) = -53 $

✔ Answer: -53

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5) $ (-35) + (-24) $

= $ -35 - 24 = -59 $

✔ Answer: -59

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6) $ 24 + (-10) - (-27) $

= $ 24 - 10 + 27 $
= $ 14 + 27 = 41 $

✔ Answer: 41

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7) $ (-7) + (-15) - (-7) $

= $ -7 -15 + 7 $
= $ (-7 + 7) -15 = 0 -15 = -15 $

✔ Answer: -15

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8) $ 21 + (-16) + (-22) $

= $ 21 -16 -22 = (21 -16) -22 = 5 -22 = -17 $

✔ Answer: -17

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9) $ (-2) + 7 + (-30) $

= $ -2 + 7 -30 = ( -2 -30 ) + 7 = -32 + 7 = -25 $

✔ Answer: -25

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10) $ 33 + (-11) $

= $ 33 - 11 = 22 $

✔ Answer: 22

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11) $ 7 + (-27) + (-26) $

= $ 7 -27 -26 = (7 -27) -26 = -20 -26 = -46 $

✔ Answer: -46

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12) $ (-46) + (-23) $

= $ -46 -23 = -69 $

✔ Answer: -69

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13) $ 39 + 18 + (-14) $

= $ 39 + 18 -14 = 57 -14 = 43 $

✔ Answer: 43

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14) $ 10 + 6 + (-18) $

= $ 16 - 18 = -2 $

✔ Answer: -2

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15) $ 49 + 19 + (-14) $

= $ 68 -14 = 54 $

✔ Answer: 54

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16) $ (-1) + (-15) $

= $ -1 -15 = -16 $

✔ Answer: -16

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17) $ 20 + 24 + (-28) $

= $ 44 -28 = 16 $

✔ Answer: 16

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18) $ (-33) + 24 - (-14) $

= $ -33 + 24 + 14 $
= $ (-33 + 24) + 14 = -9 + 14 = 5 $

✔ Answer: 5

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19) $ (-49) + (-6) + (-16) $

= $ -49 -6 -16 = -(49+6+16) = -71 $

✔ Answer: -71

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20) $ 39 + (-8) - (-12) $

= $ 39 - 8 + 12 $
= $ 31 + 12 = 43 $

✔ Answer: 43

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21) $ 28 + (-27) - (-27) $

= $ 28 -27 + 27 $
= $ (28) + (-27 + 27) = 28 + 0 = 28 $

✔ Answer: 28

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22) $ 18 + (-8) + (-13) $

= $ 18 -8 -13 = 10 -13 = -3 $

✔ Answer: -3

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✔ Final Answers:

1) -10
2) -21
3) -59
4) -53
5) -59
6) 41
7) -15
8) -17
9) -25
10) 22
11) -46
12) -69
13) 43
14) -2
15) 54
16) -16
17) 16
18) 5
19) -71
20) 43
21) 28
22) -3

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