Write the smallest number of different differrent digits formed by using the digits 3, 1, 0, 5 and 7.

Answer

To find the smallest number formed by using the digits 3, 1, 0, 5, and 7, we need to follow these steps:

### Step-by-Step Solution:

1. **Identify the Digits**: The digits we have are 3, 1, 0, 5, and 7.

2. **Determine the Smallest Digit**: Among these digits, the smallest digit is 0. However, we cannot start a number with 0 because it would not be a valid 5-digit number.

3. **Choose the First Digit**: The next smallest digit after 0 is 1. Therefore, we will use 1 as the first digit.

4. **List Remaining Digits**: After using 1, the remaining digits are 0, 3, 5, and 7.

5. **Arrange Remaining Digits in Ascending Order**: We will arrange the remaining digits in ascending order: 0, 3, 5, 7.

6. **Combine the Digits**: Now, we will combine the digits starting with 1, followed by the arranged digits:
- First digit: 1
- Second digit: 0
- Third digit: 3
- Fourth digit: 5
- Fifth digit: 7

7. **Form the Final Number**: Combining all these, we get the smallest number: **10357**.

### Final Answer:
The smallest number formed by using the digits 3, 1, 0, 5, and 7 is **10357**.