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 November 17th, 2016, 03:06 PM #1 Newbie   Joined: Aug 2016 From: Santos-SP / BRASIL Posts: 15 Thanks: 0 S.o.s The rational number 23949 divided by 99990 has the decimal representation expressed in what appears a non-periodic, plus a regular part: 0, 0023940239402394023940 ... This decimal representation, the first digit 2 occupies the third decimal place and the first digit 9 occupies the fifth decimal place. Watching these patterns of repetition, we conclude that the figure occupies the decimal 10 raised to the number 10 − 1 = 10000000000 − 1 is the digit? :furioso:
November 17th, 2016, 03:14 PM   #2
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 Originally Posted by Samuel Leite The rational number 23949 divided by 99990 has the decimal representation expressed in what appears a non-periodic, plus a regular part: 0, 0023940239402394023940 ... This decimal representation, the first digit 2 occupies the third decimal place and the first digit 9 occupies the fifth decimal place. Watching these patterns of repetition, we conclude that the figure occupies the decimal 10 raised to the number 10 − 1 = 10000000000 − 1 is the digit? :furioso:
Are you asking what the 10^(10) - 1th decimal is?

Hint: You know the pattern 23940 is repeated every five spaces after the first two 0's. So what is the largest integer n such that 2 + 5n < 10^(10) - 1?

-Dan

 November 17th, 2016, 07:00 PM #3 Senior Member   Joined: Jan 2014 From: The backwoods of Northern Ontario Posts: 367 Thanks: 68 My computer calculator gives a different result: 0.2395139513951395... Thanks from topsquark

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