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 Math grade 8 please help!!		  New Topic  Reply to Topic
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Katy
Junior Member

Canada
6 Posts
Posted - 09/26/2009 :  16:35:28  Show Profile  Reply with Quote
From the decimal form of 1/13 we pick 99 consecutive digits and treat it as a 99 digit number. Can this number be divisible by 3?
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sahsjing
Advanced Member

USA
2399 Posts
Posted - 09/27/2009 :  01:40:09  Show Profile  Reply with Quote
1/13 = .0769230769230769230...
So, the repeating part is 769230 which is the multiple of 3.
Now calculate 99/6 which has the remainder of 3. But none of the three consecutive digits is divisible by 3. Therefore, this number cannot be divisible by 3.
Edited by - sahsjing on 09/27/2009 01:40:47
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Subhotosh Khan
Advanced Member

USA
9114 Posts
Posted - 09/28/2009 :  10:01:06  Show Profile  Reply with Quote
That was a clever deduction.
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