Printable math worksheet for practicing addition of integers.

To solve the problems in the worksheet, we need to add integers. Here's a step-by-step explanation of how to approach each problem:

Key Rules for Adding Integers:

1. Same Signs: Add the absolute values and keep the same sign.
- Example: \( 5 + 3 = 8 \)
- Example: \( -5 + (-3) = -8 \)

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.
- Example: \( 5 + (-3) = 2 \) (since \( 5 - 3 = 2 \) and 5 is positive)
- Example: \( -5 + 3 = -2 \) (since \( 5 - 3 = 2 \) and -5 has the larger absolute value)

Now, let's solve each problem step by step.

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Problem 1: \( 8 + 20 = \)

- Both numbers are positive.
- Add their absolute values: \( 8 + 20 = 28 \).
- Result: \( 28 \).

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Problem 2: \( -17 + 3 = \)

- Different signs.
- Subtract the smaller absolute value from the larger one: \( 17 - 3 = 14 \).
- The result takes the sign of the number with the larger absolute value, which is -17.
- Result: \( -14 \).

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Problem 3: \( 7 + (-7) = \)

- Different signs.
- Subtract the smaller absolute value from the larger one: \( 7 - 7 = 0 \).
- Result: \( 0 \).

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Problem 4: \( -6 + 20 = \)

- Different signs.
- Subtract the smaller absolute value from the larger one: \( 20 - 6 = 14 \).
- The result takes the sign of the number with the larger absolute value, which is 20.
- Result: \( 14 \).

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Problem 5: \( -11 + 4 = \)

- Different signs.
- Subtract the smaller absolute value from the larger one: \( 11 - 4 = 7 \).
- The result takes the sign of the number with the larger absolute value, which is -11.
- Result: \( -7 \).

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Problem 6: \( 18 + (-173) = \)

- Different signs.
- Subtract the smaller absolute value from the larger one: \( 173 - 18 = 155 \).
- The result takes the sign of the number with the larger absolute value, which is -173.
- Result: \( -155 \).

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Problem 7: \( -75 + 93 = \)

- Different signs.
- Subtract the smaller absolute value from the larger one: \( 93 - 75 = 18 \).
- The result takes the sign of the number with the larger absolute value, which is 93.
- Result: \( 18 \).

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Problem 8: \( 70 + 2 = \)

- Both numbers are positive.
- Add their absolute values: \( 70 + 2 = 72 \).
- Result: \( 72 \).

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Problem 9: \( 9 + (-198) = \)

- Different signs.
- Subtract the smaller absolute value from the larger one: \( 198 - 9 = 189 \).
- The result takes the sign of the number with the larger absolute value, which is -198.
- Result: \( -189 \).

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Problem 10: \( 15 + 9 = \)

- Both numbers are positive.
- Add their absolute values: \( 15 + 9 = 24 \).
- Result: \( 24 \).

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Problem 11: \( -12 + 14 = \)

- Different signs.
- Subtract the smaller absolute value from the larger one: \( 14 - 12 = 2 \).
- The result takes the sign of the number with the larger absolute value, which is 14.
- Result: \( 2 \).

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Problem 12: \( -80 + (-80) = \)

- Both numbers are negative.
- Add their absolute values: \( 80 + 80 = 160 \).
- Result: \( -160 \).

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Problem 13: \( -58 + 21 = \)

- Different signs.
- Subtract the smaller absolute value from the larger one: \( 58 - 21 = 37 \).
- The result takes the sign of the number with the larger absolute value, which is -58.
- Result: \( -37 \).

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Problem 14: \( 13 + (-21) = \)

- Different signs.
- Subtract the smaller absolute value from the larger one: \( 21 - 13 = 8 \).
- The result takes the sign of the number with the larger absolute value, which is -21.
- Result: \( -8 \).

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Problem 15: \( -58 + 211 = \)

- Different signs.
- Subtract the smaller absolute value from the larger one: \( 211 - 58 = 153 \).
- The result takes the sign of the number with the larger absolute value, which is 211.
- Result: \( 153 \).

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Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 28 \\
2. & -14 \\
3. & 0 \\
4. & 14 \\
5. & -7 \\
6. & -155 \\
7. & 18 \\
8. & 72 \\
9. & -189 \\
10. & 24 \\
11. & 2 \\
12. & -160 \\
13. & -37 \\
14. & -8 \\
15. & 153 \\
\end{array}
}
\]