SOLUTION: Sam wrote the natural numbers from 1 to 5280 in order. What is the 6001st digit that Sam wrote?

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Question 1110075: Sam wrote the natural numbers from 1 to 5280 in order. What is the 6001st digit that Sam wrote?
Answer by amarjeeth123(570) About Me  (Show Source):
You can put this solution on YOUR website!
1-9 has 9*1=9 digits
10-99 has 90*2=180 digits
100-999 has 900*3=2700 digits
The remainder number of digits is 6001-2889=3112 digits
3112/4=778th number.
The 778th number has the 6001th digit.
The 778th number is 1777.
So the answer is 7.