0 divided by 0...

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Came across this when messing about with my calculator. 0+0 = 0 0*0 = 0 0-0= 0

0/0= ERROR

Asked about it and turns out there are some weird (from my point of view) things with this. Anyone care to explain?

From what i asked, he said 0/0 = 0 or 0/0 = 1 or 0/0 = infinity or 0/0 = anything

0 / 0 is usually referred to a being undefined. Just because a mathematical or arithmetical expression can be written or fed into a calculator or computer does not automatically imply it is valid. You get a similar thing with human language expressions. This sentence is legitimate English but is does not make any logical sense: "Why do blue bananas eat fish on Sundays?"

Sounds like another mataphore for my life.
How do you respond to the ridiculous, self-contradictory demands of the blue bananas?
Garbage in / garbage out... This world does not compute.

Division by zero is undefined because any possible definition does not work. See this brief essay:

Why can't we divide by zero?
http://www.math.utah.edu/~pa/math/0by0.html

Looking at it graphically makes it pretty clear-cut:


For 1/x, you can set x to be arbitrarily close to 0 and get an output of unbounded magnitude (infinity for positive x, negative infinity for negative x), but you can never get a meaningful output at the asymptote.

Blue bananas eat fish on Sunday because any other day would be heresy. (I googled it).

0/0 is undefined. Why?

Given a and b, to determine a unique c such that a = b*c we must insist that b != 0. That way we can define a/b = c.

Another way of putting it is this: In the multiplicative group of numbers 0 does not have an inverse. In fact 0 is not a member of the multiplicative group for this very reason. It is impossible to find a number such that 0 * a = 1, the identity element of the multiplicative group of numbers.

ruveyn

ANY number divided by zero is undefined.

Zero itsself is no exception.

You can multiply three by zero, add zero to three, or subract zero from three.

But how many times zero "go into" three?

"infinity times" a grade school might say- which is as close an answer as you can get maybe.

But its undefined. It just doesnt compute.

One might make a case that zero 'goes into' zero "one time"- but in reality- even when divided into itsself zero as a divider is undefined.

You could also say that as the divisor approaches 0, the quotient approaches infinity. But you can't split something over 0 things, so the answer can only be that it is undefined.

Here's the way I see it:

0 * 0 = 0
1 * 0 = 0
2 * 0 = 0
3.14 * 0 = 0
10000 * 0 = 0
97983459634578632789 * 0 = 0
any number * 0 = 0

Division is the opposite of multiplication:

What's 0 / 0?

Any number.

Therefore, undefined.