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This is a place to ask questions about math terminology, and to post links to other resources out on the web.
Gamer
2003-04-06 05:20:00
Check on divide by zero?

Does 0/0 = 7? (or any other number)

I always said yes, since (0/0)*0 =7*0, which equals 0= 7*0 equals 0=0 which is a tautology. Is this right?

Alan
2003-04-06 06:37:23
Re: Check on divide by zero?

ummm not to sure on this. ok i admit i'm only in gr.9 but i found something wrong with your point. lets say i wanted to say 4/2=10 so then to prove i just have to go (4/2)*0=10*0 so 0=0 but then again this is totally wrong. i think its possible you're misdoing a formula or i should keep my mouth shut til gr.12

Charlie
2003-04-06 07:17:23
Re: Check on divide by zero?

0/0 is undefined. Later, as you get into calculus, you'll see functions where the numerator and denominator each approach zero, and the function approaches a given value at such a point, but the point itself is undefined.

levik
2003-04-07 01:54:57
Re: Check on divide by zero?

Hehe... This reminds me of good old Dulanjana - hasn't been around for a while now, but I remember there was a time when we used to get questions dealing with division by zero almost daily :)

friedlinguini
2003-04-07 03:32:47
Re: Check on divide by zero?

Actually, he was just on a couple of days ago.

Gamer
2003-04-07 09:54:29
Re: Check on divide by zero?

Ok... :) (In response to Alan) The idea I was using to multiply by zero was to undo division, multiply. Divide by zero = multiply by zero.

Cory Taylor
2003-04-08 04:28:36
Re: Check on divide by zero?

Well, if high profile physicists can use that approach, why not everybody? In truth, you canget rid of a divide by zero with a multiplication of zero, but you must have a pretty in depth knowledge of math and number theory (which I don't so I'm not going to attempt explaining it to you). The problems you will encounter here is that, as shown in all sorts of calculus type questions, 0/0 leads to an ambiguous result, and so you must know where the zeros come from and how exactly they will interact. The process of using a multiplication by zero to eliminate infinities is called renormalization, and is a key aspect to most macro physics models like unified therories and string theories. However, unless you've the extensive mathematical background of a theoretical physicist, I'd stay away.

Tim Axoy Disn1
2003-04-09 14:45:33
Infinity=0/0

0/0 is infinity,of course.
I think so.

friedlinguini
2003-04-10 02:48:10
Re: Check on divide by zero?

0/0 = undefined.

Andrew
2004-10-21 17:27:37
Re: Check on divide by zero?

yes Zero is undefined if the demonator is 0.

Bon
2004-10-26 18:33:42
Re: Check on divide by zero?

0/0 is always undefined, in any context and any field. However, you can have a function in the form f(x)/g(x), where f and g are continous functions with f(x0)=g(x0)=0. Then you can have limit(f(x)/g(x), x-->x0) to be some value depending on f and g.

eg.) limit(kx^2/x, x-->0) = 0
eg.) limit(kx^2/x^2, x-->0) = k
eg.) limit(kx/x^2, x-->0) = sign(k)*infinity

However, limit of a function at x=x0 does not mean the function evaluated at x0 is the limit. This requires the continuity of the underlying function.

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