tag:blogger.com,1999:blog-2433841880619171855.post1012561249298073185..comments2024-03-27T21:09:44.320+00:00Comments on Pat'sBlog: Repeating Decimal Periods and PatternsUnknownnoreply@blogger.comBlogger4125tag:blogger.com,1999:blog-2433841880619171855.post-72789937510865088372009-02-28T08:39:00.000+00:002009-02-28T08:39:00.000+00:00This comment has been removed by a blog administrator.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-1036049346546320252009-01-26T08:28:00.000+00:002009-01-26T08:28:00.000+00:00If the period of a repeating decimal for k/p , whe...If the period of a repeating decimal for k/p , where p is prime and k/p is a reduced fraction, has an even number of digits, then dividing the repeating portion into halves and adding gives a string of 9s. 1/21 doesn't apply because 21 is not prime, 1/31 does not work because the period is 15, not a multiple of two.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-35430519524044694022009-01-26T07:49:00.000+00:002009-01-26T07:49:00.000+00:00I found a link that explains this in more detail, ...I found a link that explains this in more detail, the pdf is several pages, so I will just provide the link..<BR/>http://www.muskingum.edu/~rdaquila/m495/art/Repeating%20Decimals-Arledge.pdfAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-2433841880619171855.post-54733935138229132062009-01-26T07:28:00.000+00:002009-01-26T07:28:00.000+00:00I got a note on another link that pointed out that...I got a note on another link that pointed out that the statement above by Henry Godwin is not true as written.....<BR/><BR/>pat: Amazing! However, it doesn’t seem to be true for ALL repeating decimals. For example, it isn’t true for 1/21 = 0.[047619] or for 1/31 = 0.[032258064516129]. <BR/><BR/>I'm checking, but believe it may be true only for those decimals that repeat their full period (n-1 digits)...Anonymousnoreply@blogger.com