Use this worksheet to help students practice adding and subtracting positive and negative integers.

Problem: Integer Addition and Subtraction

The task involves solving a series of integer addition and subtraction problems. Below is the step-by-step solution for each problem, along with explanations.

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#### Left Column:

1. 8 + (−6) =
- Adding a negative number is the same as subtracting its positive counterpart.
- \( 8 - 6 = 2 \)
- Answer: \( 2 \)

2. 0 + 10 =
- Adding any number to zero gives that number.
- \( 0 + 10 = 10 \)
- Answer: \( 10 \)

3. (−9) + (−3) =
- Adding two negative numbers results in a larger negative number.
- \( -9 - 3 = -12 \)
- Answer: \( -12 \)

4. 6 + (−4) =
- Adding a negative number is the same as subtracting its positive counterpart.
- \( 6 - 4 = 2 \)
- Answer: \( 2 \)

5. 8 + 1 =
- Adding a positive number to another positive number results in a larger positive number.
- \( 8 + 1 = 9 \)
- Answer: \( 9 \)

6. 6 + 6 =
- Adding two positive numbers results in a larger positive number.
- \( 6 + 6 = 12 \)
- Answer: \( 12 \)

7. 0 + (−2) =
- Adding a negative number to zero results in that negative number.
- \( 0 - 2 = -2 \)
- Answer: \( -2 \)

8. (−9) + 4 =
- Adding a positive number to a negative number can be thought of as moving right on the number line from the negative number.
- \( -9 + 4 = -5 \)
- Answer: \( -5 \)

9. 6 + 1 =
- Adding a positive number to another positive number results in a larger positive number.
- \( 6 + 1 = 7 \)
- Answer: \( 7 \)

10. 4 + (−2) =
- Adding a negative number is the same as subtracting its positive counterpart.
- \( 4 - 2 = 2 \)
- Answer: \( 2 \)

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#### Right Column:

1. 2 + 7 =
- Adding two positive numbers results in a larger positive number.
- \( 2 + 7 = 9 \)
- Answer: \( 9 \)

2. (−9) + 6 =
- Adding a positive number to a negative number can be thought of as moving right on the number line from the negative number.
- \( -9 + 6 = -3 \)
- Answer: \( -3 \)

3. (−1) + 6 =
- Adding a positive number to a negative number can be thought of as moving right on the number line from the negative number.
- \( -1 + 6 = 5 \)
- Answer: \( 5 \)

4. 6 + (−4) =
- Adding a negative number is the same as subtracting its positive counterpart.
- \( 6 - 4 = 2 \)
- Answer: \( 2 \)

5. 3 + 5 =
- Adding two positive numbers results in a larger positive number.
- \( 3 + 5 = 8 \)
- Answer: \( 8 \)

6. (−5) + (−4) =
- Adding two negative numbers results in a larger negative number.
- \( -5 - 4 = -9 \)
- Answer: \( -9 \)

7. (−2) + 8 =
- Adding a positive number to a negative number can be thought of as moving right on the number line from the negative number.
- \( -2 + 8 = 6 \)
- Answer: \( 6 \)

8. (−7) + 3 =
- Adding a positive number to a negative number can be thought of as moving right on the number line from the negative number.
- \( -7 + 3 = -4 \)
- Answer: \( -4 \)

9. 7 + (−1) =
- Adding a negative number is the same as subtracting its positive counterpart.
- \( 7 - 1 = 6 \)
- Answer: \( 6 \)

10. (−5) + 8 =
- Adding a positive number to a negative number can be thought of as moving right on the number line from the negative number.
- \( -5 + 8 = 3 \)
- Answer: \( 3 \)

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Final Answers:

```
Left Column:
8 + (−6) = 2
0 + 10 = 10
(−9) + (−3) = −12
6 + (−4) = 2
8 + 1 = 9
6 + 6 = 12
0 + (−2) = −2
(−9) + 4 = −5
6 + 1 = 7
4 + (−2) = 2

Right Column:
2 + 7 = 9
(−9) + 6 = −3
(−1) + 6 = 5
6 + (−4) = 2
3 + 5 = 8
(−5) + (−4) = −9
(−2) + 8 = 6
(−7) + 3 = −4
7 + (−1) = 6
(−5) + 8 = 3
```

Boxed Final Answer:

\[
\boxed{
\begin{array}{ll}
\text{Left Column:} & \text{Right Column:} \\
8 + (−6) = 2 & 2 + 7 = 9 \\
0 + 10 = 10 & (−9) + 6 = −3 \\
(−9) + (−3) = −12 & (−1) + 6 = 5 \\
6 + (−4) = 2 & 6 + (−4) = 2 \\
8 + 1 = 9 & 3 + 5 = 8 \\
6 + 6 = 12 & (−5) + (−4) = −9 \\
0 + (−2) = −2 & (−2) + 8 = 6 \\
(−9) + 4 = −5 & (−7) + 3 = −4 \\
6 + 1 = 7 & 7 + (−1) = 6 \\
4 + (−2) = 2 & (−5) + 8 = 3 \\
\end{array}
}
\]