https://file.aiquickdraw.com/mathbot/file/17277291204634fj6e0ff.jpg

Let's analyze the given problem from the image.

### Problem Statement:
Consider the expression:
\[
-4 - (-10)
\]
a. Draw a number line and plot the numbers in the expression.

### Step-by-Step Solution:
1. **Expression Breakdown**:
   - The given expression is \(-4 - (-10)\).
   - This can be rewritten as \(-4 + 10\) because subtracting a negative number is equivalent to adding its positive value.

2. **Simplify the Expression**:
   \[
   -4 + 10 = 6
   \]
   So, the result of the expression is \(6\).

3. **Number Line Representation**:
   To represent this on a number line:
   - First, draw a horizontal line.
   - Mark a point for \(-4\).
   - From \(-4\), you want to subtract \(-10\), which means adding \(10\). This moves you \(10\) units to the right, from \(-4\) to \(6\).

4. **Plotting on the Number Line**:
   - Draw a number line extending from around \(-10\) to \(10\).
   - Mark the key points: \(-4\) and \(6\).
   - Indicate the movement from \(-4\) by drawing an arrow to the right up to the point \(6\).

### Graphical Representation:
- On the number line:
  - Start at \(-4\).
  - Move \(10\) units to the right.
  - You will end up at \(6\), which represents the final value of the expression.

Would you like me to provide further details or answer any questions you might have about this problem?

Here are 5 related questions that might help expand your understanding:
1. What does it mean to subtract a negative number in general?
2. How do you interpret the movement on a number line when adding or subtracting positive and negative values?
3. What happens if you change \(-4 - (-10)\) to \(-4 + (-10)\)?
4. How would you represent \(-4 - 10\) on the number line instead?
5. Why does subtracting a negative number turn into addition?

**Tip**: Always remember that subtracting a negative value is equivalent to adding the corresponding positive value—it's like reversing a double negative!

Consider the expression -4 - (-10). a. Draw a number line and plot the numbers in the expression.

Learn how to solve the expression -4 - (-10) and represent it on a number line. This involves integer operations and understanding how subtracting a negative turns into addition. Suitable for students in Grade 6-7.

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