To form the smallest 7-digit number using the digits in 0194676, you need to arrange them in ascending order while ensuring the first digit is not zero (since that would make it a 6-digit number).

Here are the steps:

1. Arrange the digits in ascending order: 0, 1, 4, 6, 6, 7, 9.
2. Place the smallest non-zero digit at the start: 1.
3. Add the remaining digits in ascending order: 046679.

So, the smallest 7-digit number you can form is 1046679.

Would you like more details or have any questions?

Here are 5 related questions to expand on this topic:

1. What is the largest 7-digit number you can form from the digits 0194676?
2. How can you form the smallest even number from a set of digits?
3. What happens if you're asked to form the smallest odd number from a set of digits?
4. Can you form a palindrome from the digits 0194676? If yes, what is it?
5. How does removing one digit affect the smallest number you can form?

Tip: Always ensure that the first digit in forming a number isn’t zero, as it reduces the total number of digits.