Why Is 0 Divided by 0 Undefined?

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The discussion centers on the mathematical concept of 0 divided by 0, which is deemed undefined due to its contradictory nature. The argument highlights that if 0/0 were defined as a specific number, it would lead to inconsistencies, as any number multiplied by 0 equals 0, making it impossible to pinpoint a unique solution. Participants also mention that while 1/0 is universally considered undefined, 0/0 is often referred to as indeterminate because it can yield multiple values. The conversation touches on the implications of defining 0/0 in various mathematical contexts, emphasizing that without a clear definition, it remains undefined. Overall, the consensus is that 0/0 cannot be assigned a specific value without violating fundamental mathematical principles.
  • #31
(0*n)/0 = 0*(n/0)

This step is incorrect. With IBM's implementation (a*b)/c is not necessarily a*(b/c) - in fact this fails not only when c=0.

It is necessary to live with the consequences of what has been defined. But what has been defined in any given circumstance is not generally a matter for proof. IBM give you some very good manuals. These tell you what is defined and what the definition are.
 
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  • #32
That's all fine and good (and of some interest, though it's a strictly decreasing function over time), but with the OP in mind -
WHAT does this have to do with the QUESTION! Is this kid in an IBM class? Is he even a kid (or male)? ;)
I imagine a h.s. or undergrad student thinking "what the $%^ are they talking about?!". Can we help this guy get some closure, or just regurgitate an endless stream of advanced topics? I personally don't mind talking about this stuff, but we should do that elsewhere.
 
  • #33
I would imagine that OP had got all he wanted to from the thread long before you reopened it.
 
  • #34
Martin Rattigan said:
I would imagine that OP had got all he wanted to from the thread long before you reopened it.

Let's hope so! Funny word choice, though. "reopened" implies closure, which wasn't apparent (at least to me) in the 1-hour gap between my first post and the post immediately preceding that...
 
  • #35
Thank you all for your input. This question actually appears in Calculus by Varberg, Purcell, and Rigdon and I encountered while I was going through the pages to refresh my calculus.
 

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