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.
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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. |