Which is greater number in the following:

Options

A. `(-1)/(2)`
B. 0
C. `(1)/(2)`
D. `-2`

Answer

To determine which number is greater among the following options: -1/2, 0, 1/2, and -2, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Numbers**: The numbers we need to compare are:
- -1/2
- 0
- 1/2
- -2

2. **Understand the Number Line**:
- A number line helps us visualize the position of these numbers.
- The center of the number line is 0.
- Numbers to the right of 0 are positive, and numbers to the left of 0 are negative.

3. **Place the Numbers on the Number Line**:
- **-2**: This is the furthest left on the number line.
- **-1/2**: This is to the right of -2 but still negative.
- **0**: This is at the center of the number line.
- **1/2**: This is to the right of 0 and is positive.

4. **Compare the Numbers**:
- On the number line, as we move from left to right, the values increase.
- Therefore, we can see that:
- -2 < -1/2 < 0 < 1/2

5. **Identify the Greatest Number**:
- The greatest number among the four options is the one that is furthest to the right on the number line.
- From our comparison, the greatest number is **1/2**.

### Final Answer:
The greatest number among -1/2, 0, 1/2, and -2 is **1/2**.

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