why is 0 divided by 0 not defined?

Answer 1

if you multiply anything by zero, you get zero.. and since division is the reverse of multiplication, it's impossible to divide by zero..

if A=2, B=4, and C=8 it would be true to say A*B=C and it would also be true to say C/B=A..

but if A=2, B=0, and C=0 it would still be true to say A*B=C, but in this case C/B=A would not be true.. so unless you make it impossible to divide by 0, the mathematics just don't work..

Answer 2

Here's a little experiment for you to try on your calculator. Observe the output when you try the following set of calculations:

1/1
1/.1
1/.01
1/.001
1/.0001
1/.00001
etc...

until your calculator can't go any further or you get tired. You should notice that the answers continue getting larger and larger.

There's a special word for stuff like this, where you could conceivably give it any number of values. That word is "indeterminate." It's not the same as undefined. It essentially means that if it pops up somewhere, you don't know what its value will be in your case. For instance, if you have the limit as x->0 of x/x and of 7x/x, the expression will have a value of 1 in the first case and 7 in the second case. Indeterminate.

Answer 3

here is why...
0 x 0=0
0 x 5=0
0 x any # = 0

therefore. 0/0 can equal 0, 5, or any number. It gives no info as to what was being multiplied.

Answer 4

Assume 0/0 = a. The that would imply that 0 = 0*a but that is true for *any* a. So it's undefined since it has no unique answer.


Doug

Answer 5

b/c cant divide by 0

Answer 6

Dividing any number by zero is undefined.
Hence0/0 is undefined

Answer 7

For any number x, 0*x=0, so 0/0 could be equal to any number. At least y/0, where y is nonzero, can be said to approach infinity or -infinity, but we have no way to describe what 0/0 is, because it could be anything at all.

Answer 8

It is possible to extend any commutative ring (or semiring) to an algebraic structure called a wheel so that division by 0 is defined.

Answer 9

proof by contradiction

assume that 0/0 has a unique definition: 0/0=a

this implies that 0 = 0 * a
which is true for any value of a
this contradicts our assumption
therefore
0/0 has no unique definition (in other words, it is undefined)

Answer 10

define nothing
divide nothing with nothing equals 1 nothing
1 defining nothing ,defines a quantitive of nothings
one time
thus is the singulare divided
but were it mulitplied the answer would be nothing
thus i define o divided by o as 1
o goes into o only by one unit
out of nothing was gcreated one singular quantitive that when reversed becomes a new contradiction ,
you have your answer and your answer but im not framing the theorum.but i will name it it shal, hence forth be called the {}
oops.that allready os taken..[ ] its ah...the s\1/n ..theorum