Smallest 5-Digit Number Using Digits 0, 8, 2, 3, and 4

To form the smallest 5-digit number using the digits 0, 8, 2, 3, and 4, we need to ensure that the first digit is not 0, as it would then not be a 5-digit number.

Steps to Form the Smallest 5-Digit Number

Identify the smallest non-zero digit: 2. Arrange the remaining digits (0, 3, 4, 8) in ascending order: 0, 3, 4, 8. Combine these digits to form the smallest 5-digit number.

Therefore, the smallest 5-digit number that can be formed using the digits 0, 8, 2, 3, and 4 is 20348.

Methods for Solving Similar Problems

To solve other similar problems, follow these general steps:

Identify the first digit as the smallest non-zero digit. Arrange the remaining digits in ascending order. Combine the digits to form the smallest possible number.

Special Cases

This problem can be approached in different ways depending on the context:

Case 1: If leading zeros are considered valid, the smallest 5-digit number is 02348. Case 2: If leading zeros are not allowed, the smallest 5-digit number is 20348.

Additional Considerations

It's important to note that:

The arrangement of digits in ascending order can be used to form the smallest 5-digit number without leading zeros. Some combinations might not be valid depending on the rules (e.g., 234 80 18720 is not the smallest). Understanding the context (e.g., school homework, specific rules) is crucial to solve such problems accurately.

Conclusion

In summary, to form the smallest 5-digit number using the digits 0, 8, 2, 3, and 4, the first digit must be the smallest non-zero digit, and the remaining digits must be arranged in ascending order. By following these steps, the smallest number possible is 20348.