Crazy zeroes

How many times does 0 appear in the sequence 1 ; 2 ; ; 999 , 999 , 999 1;2; \cdots; 999,999,999 ?


The answer is 788888889.

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1 solution

Aryan Goyat
May 31, 2016

the total zero in unit digit no is of form a0 where a is from 1 to 99999999

at ones place a0b where total case =99999990

so on adding them =99999999+99999990+99999900+-------------------

=9*(87654321)

=788888889.

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