Adding Integers worksheet with 12 problems for practicing addition of positive and negative numbers.

Problem: Adding Integers

The task involves solving a series of integer addition problems. The rules for adding integers are as follows:
1. Positive + Positive = Positive: Add the numbers and keep the positive sign.
2. Negative + Negative = Negative: Add the absolute values of the numbers and keep the negative sign.
3. Sum of a negative and a positive number: Use the sign of the larger number (in absolute value) and subtract the smaller absolute value from the larger one.

Let's solve each problem step by step.

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Problem 1: \( 870 + (-30) \)

- This is a sum of a positive and a negative number.
- The larger number is \( 870 \), and the smaller number is \( 30 \).
- Subtract the smaller absolute value from the larger: \( 870 - 30 = 840 \).
- The sign of the result is positive because \( 870 \) is larger.
- Answer: \( 840 \)

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Problem 2: \( -799 + 91 \)

- This is a sum of a negative and a positive number.
- The larger number is \( 799 \) (in absolute value), and the smaller number is \( 91 \).
- Subtract the smaller absolute value from the larger: \( 799 - 91 = 708 \).
- The sign of the result is negative because \( -799 \) has the larger absolute value.
- Answer: \( -708 \)

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Problem 3: \( 873 + (-30) \)

- This is a sum of a positive and a negative number.
- The larger number is \( 873 \), and the smaller number is \( 30 \).
- Subtract the smaller absolute value from the larger: \( 873 - 30 = 843 \).
- The sign of the result is positive because \( 873 \) is larger.
- Answer: \( 843 \)

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Problem 4: \( 357 + (-52) \)

- This is a sum of a positive and a negative number.
- The larger number is \( 357 \), and the smaller number is \( 52 \).
- Subtract the smaller absolute value from the larger: \( 357 - 52 = 305 \).
- The sign of the result is positive because \( 357 \) is larger.
- Answer: \( 305 \)

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Problem 5: \( 118 + (-38) \)

- This is a sum of a positive and a negative number.
- The larger number is \( 118 \), and the smaller number is \( 38 \).
- Subtract the smaller absolute value from the larger: \( 118 - 38 = 80 \).
- The sign of the result is positive because \( 118 \) is larger.
- Answer: \( 80 \)

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Problem 6: \( -247 + 109 \)

- This is a sum of a negative and a positive number.
- The larger number is \( 247 \) (in absolute value), and the smaller number is \( 109 \).
- Subtract the smaller absolute value from the larger: \( 247 - 109 = 138 \).
- The sign of the result is negative because \( -247 \) has the larger absolute value.
- Answer: \( -138 \)

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Problem 7: \( 534 + (-54) \)

- This is a sum of a positive and a negative number.
- The larger number is \( 534 \), and the smaller number is \( 54 \).
- Subtract the smaller absolute value from the larger: \( 534 - 54 = 480 \).
- The sign of the result is positive because \( 534 \) is larger.
- Answer: \( 480 \)

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Problem 8: \( 521 + 115 \)

- This is a sum of two positive numbers.
- Add the numbers directly: \( 521 + 115 = 636 \).
- The sign of the result is positive.
- Answer: \( 636 \)

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Problem 9: \( -177 + 41 \)

- This is a sum of a negative and a positive number.
- The larger number is \( 177 \) (in absolute value), and the smaller number is \( 41 \).
- Subtract the smaller absolute value from the larger: \( 177 - 41 = 136 \).
- The sign of the result is negative because \( -177 \) has the larger absolute value.
- Answer: \( -136 \)

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Problem 10: \( 355 + 70 \)

- This is a sum of two positive numbers.
- Add the numbers directly: \( 355 + 70 = 425 \).
- The sign of the result is positive.
- Answer: \( 425 \)

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Problem 11: \( 612 + 24 \)

- This is a sum of two positive numbers.
- Add the numbers directly: \( 612 + 24 = 636 \).
- The sign of the result is positive.
- Answer: \( 636 \)

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Problem 12: \( 411 + (-18) \)

- This is a sum of a positive and a negative number.
- The larger number is \( 411 \), and the smaller number is \( 18 \).
- Subtract the smaller absolute value from the larger: \( 411 - 18 = 393 \).
- The sign of the result is positive because \( 411 \) is larger.
- Answer: \( 393 \)

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Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 840 \\
2. & -708 \\
3. & 843 \\
4. & 305 \\
5. & 80 \\
6. & -138 \\
7. & 480 \\
8. & 636 \\
9. & -136 \\
10. & 425 \\
11. & 636 \\
12. & 393 \\
\end{array}
}
\]