if one writes the numbers {1,2,3,4,5,...10} one uses 11 digits and 1 zero if one writes the number {1,2,3,4,....100} one uses 192 digits and 11 zeros it is true for the set of numbers as the number of zeros used in {1,2,3,......10^k} is equal to the number of digit used in { 1,2,3,4,....10^(k-1)} , for all k=1,2,3,4,....

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