Math worksheet for practicing subtraction of integers, featuring 16 problems with positive and negative numbers.

Problem: Solving Integer Addition and Subtraction

The task involves solving a series of integer addition and subtraction problems. Let's solve each problem step by step.

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#### Left Column:

1. (-10) + 5 = ?
- Subtract the smaller absolute value from the larger absolute value.
- The signs are different, so the result takes the sign of the number with the larger absolute value.
- \( |-10| = 10 \) and \( |5| = 5 \).
- \( 10 - 5 = 5 \).
- Since \( -10 \) has the larger absolute value, the result is negative.
- Answer: -5

2. (-3) + 4 = ?
- Subtract the smaller absolute value from the larger absolute value.
- The signs are different, so the result takes the sign of the number with the larger absolute value.
- \( |-3| = 3 \) and \( |4| = 4 \).
- \( 4 - 3 = 1 \).
- Since \( 4 \) has the larger absolute value, the result is positive.
- Answer: 1

3. 7 + (-6) = ?
- Subtract the smaller absolute value from the larger absolute value.
- The signs are different, so the result takes the sign of the number with the larger absolute value.
- \( |7| = 7 \) and \( |-6| = 6 \).
- \( 7 - 6 = 1 \).
- Since \( 7 \) has the larger absolute value, the result is positive.
- Answer: 1

4. (-4) + (-2) = ?
- Add the absolute values because both numbers are negative.
- The result is negative.
- \( |-4| = 4 \) and \( |-2| = 2 \).
- \( 4 + 2 = 6 \).
- Answer: -6

5. (-4) + 5 = ?
- Subtract the smaller absolute value from the larger absolute value.
- The signs are different, so the result takes the sign of the number with the larger absolute value.
- \( |-4| = 4 \) and \( |5| = 5 \).
- \( 5 - 4 = 1 \).
- Since \( 5 \) has the larger absolute value, the result is positive.
- Answer: 1

6. (-15) - 7 = ?
- Subtracting a positive number is the same as adding its negative.
- \( (-15) - 7 = (-15) + (-7) \).
- Add the absolute values because both numbers are negative.
- \( |-15| = 15 \) and \( |-7| = 7 \).
- \( 15 + 7 = 22 \).
- Answer: -22

7. (-9) - (-6) = ?
- Subtracting a negative number is the same as adding its positive counterpart.
- \( (-9) - (-6) = (-9) + 6 \).
- Subtract the smaller absolute value from the larger absolute value.
- The signs are different, so the result takes the sign of the number with the larger absolute value.
- \( |-9| = 9 \) and \( |6| = 6 \).
- \( 9 - 6 = 3 \).
- Since \( -9 \) has the larger absolute value, the result is negative.
- Answer: -3

8. 5 - (-9) = ?
- Subtracting a negative number is the same as adding its positive counterpart.
- \( 5 - (-9) = 5 + 9 \).
- Add the numbers.
- \( 5 + 9 = 14 \).
- Answer: 14

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#### Right Column:

9. (-4) + 9 = ?
- Subtract the smaller absolute value from the larger absolute value.
- The signs are different, so the result takes the sign of the number with the larger absolute value.
- \( |-4| = 4 \) and \( |9| = 9 \).
- \( 9 - 4 = 5 \).
- Since \( 9 \) has the larger absolute value, the result is positive.
- Answer: 5

10. (-2) + 1 = ?
- Subtract the smaller absolute value from the larger absolute value.
- The signs are different, so the result takes the sign of the number with the larger absolute value.
- \( |-2| = 2 \) and \( |1| = 1 \).
- \( 2 - 1 = 1 \).
- Since \( -2 \) has the larger absolute value, the result is negative.
- Answer: -1

11. 6 + (-3) = ?
- Subtract the smaller absolute value from the larger absolute value.
- The signs are different, so the result takes the sign of the number with the larger absolute value.
- \( |6| = 6 \) and \( |-3| = 3 \).
- \( 6 - 3 = 3 \).
- Since \( 6 \) has the larger absolute value, the result is positive.
- Answer: 3

12. (-3) + (-5) = ?
- Add the absolute values because both numbers are negative.
- The result is negative.
- \( |-3| = 3 \) and \( |-5| = 5 \).
- \( 3 + 5 = 8 \).
- Answer: -8

13. (-1) + 2 = ?
- Subtract the smaller absolute value from the larger absolute value.
- The signs are different, so the result takes the sign of the number with the larger absolute value.
- \( |-1| = 1 \) and \( |2| = 2 \).
- \( 2 - 1 = 1 \).
- Since \( 2 \) has the larger absolute value, the result is positive.
- Answer: 1

14. (-3) - 7 = ?
- Subtracting a positive number is the same as adding its negative.
- \( (-3) - 7 = (-3) + (-7) \).
- Add the absolute values because both numbers are negative.
- \( |-3| = 3 \) and \( |-7| = 7 \).
- \( 3 + 7 = 10 \).
- Answer: -10

15. (-2) - (-6) = ?
- Subtracting a negative number is the same as adding its positive counterpart.
- \( (-2) - (-6) = (-2) + 6 \).
- Subtract the smaller absolute value from the larger absolute value.
- The signs are different, so the result takes the sign of the number with the larger absolute value.
- \( |-2| = 2 \) and \( |6| = 6 \).
- \( 6 - 2 = 4 \).
- Since \( 6 \) has the larger absolute value, the result is positive.
- Answer: 4

16. 9 - (-3) = ?
- Subtracting a negative number is the same as adding its positive counterpart.
- \( 9 - (-3) = 9 + 3 \).
- Add the numbers.
- \( 9 + 3 = 12 \).
- Answer: 12

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Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & -5 \\
2. & 1 \\
3. & 1 \\
4. & -6 \\
5. & 1 \\
6. & -22 \\
7. & -3 \\
8. & 14 \\
9. & 5 \\
10. & -1 \\
11. & 3 \\
12. & -8 \\
13. & 1 \\
14. & -10 \\
15. & 4 \\
16. & 12 \\
\end{array}
}
\]