February 19th, 2012, 01:29 PM  #1 
Member Joined: Oct 2011 Posts: 31 Thanks: 0  proving 0=0
How do we prove : 0 = 0 ??

February 19th, 2012, 01:47 PM  #2 
Member Joined: Jan 2012 Posts: 47 Thanks: 0  Re: proving 0=0
Hi; as far as I know all equations need to be kept in balance ie what we do on one side must be done on the other. So 0=0 and 0=0 we add 0 to one side we must subtract it from the other to keep the balance. 
February 19th, 2012, 01:53 PM  #3 
Member Joined: Jan 2012 Posts: 47 Thanks: 0  Re: proving 0=0
or if you prefer. 0=0 subtract from both sides gives 0=0 = +0 =0 = 0 =0 Hope this helps. 
February 19th, 2012, 02:02 PM  #4  
Member Joined: Oct 2011 Posts: 31 Thanks: 0  Re: proving 0=0 Quote:
Can you be more clear?? How do you start the proof?  
February 19th, 2012, 02:08 PM  #5 
Member Joined: Jan 2012 Posts: 47 Thanks: 0  Re: proving 0=0
Subtracting a negative number is like adding the same corresponding number minus a negative number is the same as adding the same corresponding number 0=0. does that help. 
February 19th, 2012, 02:59 PM  #6 
Senior Member Joined: Jan 2012 Posts: 131 Thanks: 0  Re: proving 0=0
The set of real numbers to the right of 0 is called positive numbers; the set to left of 0 is the set of negative numbers while 0 itself neither positive nor negative 
February 19th, 2012, 08:12 PM  #7  
Member Joined: Oct 2011 Posts: 31 Thanks: 0  Re: proving 0=0 Quote:
 
February 19th, 2012, 08:24 PM  #8 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 465 Math Focus: Calculus/ODEs  Re: proving 0=0
Zero in the only real number without a sign, implied or otherwise. Zero is neither negative nor positive. Positive is defined as greater than zero and negative is defined as less than zero. However, if we try to find a number x whose negative is equal to its positive, we find: So, we find, among the real numbers at least, that zero is the only number such that x = x. 
February 19th, 2012, 08:36 PM  #9  
Member Joined: Oct 2011 Posts: 31 Thanks: 0  Re: proving 0=0 Quote:
If x =x then x=0 . But we want ,0 =0 ,only  
February 19th, 2012, 08:38 PM  #10 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 465 Math Focus: Calculus/ODEs  Re: proving 0=0
Showing that if x = x then x = 0, shows that 0 = 0, does it not?


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