Educational worksheet for practicing addition and subtraction of negative numbers using a number line.

To solve the given problems involving addition and subtraction of negative numbers, we can use the number line as a visual aid. Let's go through each problem step by step.

Problem 1: \( 4 - 6 \)

- Start at 4 on the number line.
- Subtracting 6 means moving 6 units to the left.
- Moving 6 units to the left from 4 brings us to \(-2\).

Answer: \( 4 - 6 = -2 \)

Problem 2: \( 2 - 5 \)

- Start at 2 on the number line.
- Subtracting 5 means moving 5 units to the left.
- Moving 5 units to the left from 2 brings us to \(-3\).

Answer: \( 2 - 5 = -3 \)

Problem 3: \( -5 + 10 \)

- Start at \(-5\) on the number line.
- Adding 10 means moving 10 units to the right.
- Moving 10 units to the right from \(-5\) brings us to \(5\).

Answer: \( -5 + 10 = 5 \)

Problem 4: \( 5 - 2 \)

- Start at 5 on the number line.
- Subtracting 2 means moving 2 units to the left.
- Moving 2 units to the left from 5 brings us to \(3\).

Answer: \( 5 - 2 = 3 \)

Problem 5: \( -3 + 5 \)

- Start at \(-3\) on the number line.
- Adding 5 means moving 5 units to the right.
- Moving 5 units to the right from \(-3\) brings us to \(2\).

Answer: \( -3 + 5 = 2 \)

Problem 6: \( -5 + 4 \)

- Start at \(-5\) on the number line.
- Adding 4 means moving 4 units to the right.
- Moving 4 units to the right from \(-5\) brings us to \(-1\).

Answer: \( -5 + 4 = -1 \)

Problem 7: \( -5 - 9 \)

- Start at \(-5\) on the number line.
- Subtracting 9 means moving 9 units to the left.
- Moving 9 units to the left from \(-5\) brings us to \(-14\).

Answer: \( -5 - 9 = -14 \)

Problem 8: \( -4 - 4 \)

- Start at \(-4\) on the number line.
- Subtracting 4 means moving 4 units to the left.
- Moving 4 units to the left from \(-4\) brings us to \(-8\).

Answer: \( -4 - 4 = -8 \)

Final Answers:

\[
\begin{aligned}
&4 - 6 = -2 \\
&2 - 5 = -3 \\
&-5 + 10 = 5 \\
&5 - 2 = 3 \\
&-3 + 5 = 2 \\
&-5 + 4 = -1 \\
&-5 - 9 = -14 \\
&-4 - 4 = -8
\end{aligned}
\]

\boxed{
\begin{aligned}
&4 - 6 = -2 \\
&2 - 5 = -3 \\
&-5 + 10 = 5 \\
&5 - 2 = 3 \\
&-3 + 5 = 2 \\
&-5 + 4 = -1 \\
&-5 - 9 = -14 \\
&-4 - 4 = -8
\end{aligned}
}