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May 20th, 2015, 08:57 AM  #1 
Senior Member Joined: Feb 2014 From: Louisiana Posts: 156 Thanks: 6 Math Focus: algebra and the calculus  Infinite number such as 0.969696969696...
I have a question. Is there a name for a number such as 0.96969696... I know that this is just a repeating decimal, but is there a more specific name? My friend called it a narcissistic number, but I am not sure this is right or not. What kind of operation could produce such a number as this?

May 20th, 2015, 09:20 AM  #2 
Senior Member Joined: Apr 2014 From: Greater London, England, UK Posts: 320 Thanks: 156 Math Focus: Abstract algebra 
It's called a recurring decimal.

May 20th, 2015, 09:34 AM  #3 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,664 Thanks: 2644 Math Focus: Mainly analysis and algebra 
${96 \over 99} = {32 \over 33}$, I think. All recurring numbers are rational. Narcissistic numbers are different. Last edited by v8archie; May 20th, 2015 at 09:37 AM. 
May 26th, 2015, 08:21 AM  #4 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 
I suspect your friend was making a joke, based on the "69".

May 26th, 2015, 09:18 AM  #5  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Hello, Mr Davis 97! Quote:
Yes, it is called a repeating decimal.  

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