Comments on: 0.99999… = 1, exactly http://www.philhord.com/phord/099999-1-exactly/ Hobbies, family, life, science Wed, 20 Aug 2008 14:59:58 +0000 http://wordpress.org/?v=2.0.11 by: Ed http://www.philhord.com/phord/099999-1-exactly/#comment-5600 Thu, 02 Nov 2006 13:53:36 +0000 http://www.philhord.com/phord/099999-1-exactly/#comment-5600 The nicest way I've always had of thinking about this is as follows : 1/9 = 0.11111111111111111111 etc 2/9 = 0.22222222222222222222 etc etc so, 9/9 = 0.99999999999999999999 etc But 9/9 is also of course equal to 1! QED ;-) The nicest way I’ve always had of thinking about this is as follows :

1/9 = 0.11111111111111111111 etc
2/9 = 0.22222222222222222222 etc

etc

so,

9/9 = 0.99999999999999999999 etc

But 9/9 is also of course equal to 1!

QED ;-)

]]> by: phord http://www.philhord.com/phord/099999-1-exactly/#comment-1751 Mon, 26 Jun 2006 16:40:11 +0000 http://www.philhord.com/phord/099999-1-exactly/#comment-1751 <strong>*** Spoiler Below ***</strong> <strong>*** Spoiler Below ***</strong> <strong>*** Spoiler Below ***</strong> <strong>*** Spoiler Below ***</strong> <strong>*** Spoiler Below ***</strong> Stop reading here if you don't want to see the answer given away. The next two numbers are 857142, 999999. 142857 + 142857 = 285714 285714 + 142857 = 428571 428571 + 142857 = 571428 571428 + 142857 = 714285 714285 + 142857 = 857142 857142 + 142857 = 999999 It turns out there's an infinite number of series like this. I found this one by looking at sevenths. 1/7 = 0.142857(142857). 7/7 = 0.999999(999999), or 1.0. This sequence (repeating decimal) occurs for many fractions where the denominator is a prime number. I happened upon this tidbit over at <a href="http://en.wikipedia.org/">Wikipedia</a> on <a href="http://en.wikipedia.org/wiki/Repeating_decimal#Fractions_with_prime_denominators">this page</a>. *** Spoiler Below ***

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Stop reading here if you don’t want to see the answer given away.

The next two numbers are 857142, 999999.

142857 + 142857 = 285714
285714 + 142857 = 428571
428571 + 142857 = 571428
571428 + 142857 = 714285
714285 + 142857 = 857142
857142 + 142857 = 999999

It turns out there’s an infinite number of series like this. I found this one by looking at sevenths. 1/7 = 0.142857(142857). 7/7 = 0.999999(999999), or 1.0. This sequence (repeating decimal) occurs for many fractions where the denominator is a prime number. I happened upon this tidbit over at Wikipedia on this page.

]]> by: linde http://www.philhord.com/phord/099999-1-exactly/#comment-1735 Sun, 25 Jun 2006 06:51:44 +0000 http://www.philhord.com/phord/099999-1-exactly/#comment-1735 the next one should be 857142 but i dont see that there is one after that unless it goes back to 142857. but i was an english major and am not much of a math whiz. btw, thanks for the headstart on the gdata api. i was comtemplating doing just what you did (and came across this blog because i was hoping to avoid it). if i end up extending it, i will post/contribute my work. the next one should be 857142 but i dont see that there is one after that unless it goes back to 142857. but i was an english major and am not much of a math whiz.

btw, thanks for the headstart on the gdata api. i was comtemplating doing just what you did (and came across this blog because i was hoping to avoid it). if i end up extending it, i will post/contribute my work.

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