Mathematically, what is 0 (zero) divided by 0 (zero), as in 0/0?

Demiurge422007-09-30T13:15:04Z

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Division by zero is undefined. You can't divide by zero. If you get 0/0 when trying to figure out a limit, then this is called an indeterminate form.

miss_tinkerbell082007-09-30T13:12:27Z

its 0

skeptik2007-09-30T13:23:21Z

It is mathematically undefined.

There are several ways you could look at it that seem to give some other answer, but the rules involved always include the exception that the numbers cannot be zero.

For instance:
x/x = 1 (for all non-zero values of x)
0/x = 0 (for all non-zero values of x)
x/0 = infinity (for all non-zero values of x)

Which leaves the last - 0/0 = undefined.

Anonymous2007-09-30T13:23:22Z

Actually, there are about three possible answers which you could argue:

1. 0 - because 0 divided by anything is 0
2. Undefined - because anything divided by 0 is undefined
3. 1 - because a number divided by itself is 1.

As I understand it, the second option takes precedence in this case. The third option isn't really viable, as it would not make sense philosophically to start with nothing, divide it by nothing and end up with something!

BlueArmyLad2007-09-30T13:20:24Z

interesting because if you put it as a fraction
5/5=1
4/4=1
3/3=1
2/2=1
1/1=1
0/0=?

just thought i'd throw that into the mixer

however
0/5=0
0/4=0
0/3=0
0/2=0
0/1=0
0/0=?

also
5/0=infinity
4/0=infinity
3/0=infinity
2/0=infinity
1/0=infinity
0/0=?

so 3 main rules
x/x=1
0/x=0
x/0=infinity

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