Problem Statement
Suppose you write down all the numbers 1, 2, 3, 4, ..., 9, 10, 11, ...
The tenth digit you write is '1' and the eleventh digit is '0', as part of the number 10.
- What would the 1000th digit be? At which number would it occur?
- What number would contain the 1,000,000th digit?
- When would you have written the digit '5' for the 5000th time?