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Prove that each physical number is greater than or equal to the number of digits (in the sense that the number 1029 is greater than 4, the number of digits)

 Nov 9, 2018
 #1
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Suppose there are n digits.

 

The smallest possible n digit number is 1 followed by n-1 zeros.

 

The value of this nuber is 10n-1 >= n, with equality at n=1

 Nov 10, 2018

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