Evaluate the following , using the number line :
`3-6`

Answer

To evaluate the expression \(3 - 6\) using a number line, follow these steps:

### Step-by-Step Solution:

1. **Draw a Number Line**:
- Start by drawing a horizontal line. Mark the center of the line as \(0\).
- To the right of \(0\), mark positive integers: \(1, 2, 3, 4, 5, 6\).
- To the left of \(0\), mark negative integers: \(-1, -2, -3, -4, -5, -6\).

2. **Locate the Starting Point**:
- Since we are starting with \(3\), locate \(3\) on the number line. This is our starting point.

3. **Understand the Operation**:
- The expression \(3 - 6\) means we will move backwards (to the left) on the number line because we are subtracting.

4. **Move Backwards**:
- From \(3\), move \(6\) units to the left. Count the units as you move:
- From \(3\) to \(2\) (1 unit)
- From \(2\) to \(1\) (2 units)
- From \(1\) to \(0\) (3 units)
- From \(0\) to \(-1\) (4 units)
- From \(-1\) to \(-2\) (5 units)
- From \(-2\) to \(-3\) (6 units)

5. **Identify the Result**:
- After moving \(6\) units to the left from \(3\), you land on \(-3\). Therefore, \(3 - 6 = -3\).

### Final Answer:
The result of \(3 - 6\) is \(-3\).

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