Evaluate the following , using the number line :
`4-(-2)`

Answer

To evaluate the expression \(4 - (-2)\) using a number line, follow these steps:

### Step 1: Understand the Expression
The expression \(4 - (-2)\) involves subtracting a negative number. Subtracting a negative number is the same as adding its positive counterpart. Therefore, we can rewrite the expression as:
\[ 4 - (-2) = 4 + 2 \]

### Step 2: Draw the Number Line
Draw a horizontal line and mark points on it. Label the points as follows:
- On the right side: 0, 1, 2, 3, 4, 5, ...
- On the left side: -1, -2, -3, -4, ...

### Step 3: Locate the Points
Locate the point for \(4\) on the number line. This point is to the right of \(0\) and is marked as \(4\).

### Step 4: Add the Positive Number
Since we have rewritten the expression as \(4 + 2\), we need to move \(2\) units to the right from the point \(4\):
- Starting at \(4\), move \(1\) unit to the right to reach \(5\).
- Move another \(1\) unit to the right to reach \(6\).

### Step 5: Conclusion
After moving \(2\) units to the right from \(4\), we arrive at \(6\). Therefore, the value of \(4 - (-2)\) is:
\[ 4 - (-2) = 6 \]