The smallest possible three-place decimal number is:

Options

A. `0.012`
B. `0.0123`
C. `0.111`
D. None of the above

Answer

To find the smallest possible three-place decimal number, we need to understand the structure of decimal numbers and what is meant by "three-place."

### Step-by-Step Solution:

1. **Understanding Decimal Places**: A three-place decimal number means that there are three digits to the right of the decimal point. For example, in the number 0.123, there are three decimal places.

2. **Identifying the Smallest Decimal Number**: The smallest decimal number that can be represented with three decimal places must be greater than zero. The smallest natural number is 1, but we need to express it in decimal form with three places.

3. **Constructing the Smallest Decimal**: The smallest three-place decimal number is 0.001. This is because:
- 0.000 is not considered a valid three-place decimal number since it does not represent a value greater than zero.
- The next number after 0.000 is 0.001, which is indeed a valid three-place decimal.

4. **Conclusion**: Therefore, the smallest possible three-place decimal number is **0.001**.