Why k/0 is undefined (k is not equal to zero)

Question

Why k/0  is undefined (k is not equal to zero)

anonymous · Answer

I can explain this question.

anonymous · Answer

yes u may :)

anonymous · Answer

Let  us suppose that k=2, than we get 2/0=x, so 2/x=0, isn't?

anonymous · Answer

yes

anonymous · Answer

Sorry, in my last reply, "than" should be"then".

As 2/x=0, so we get 2=0*x.
All number times 0 is 0, so 0*x=0. Then we get 2=0.

anonymous · Answer

yes.

anonymous · Answer

2=0 dosen't mean undefined that's just a mathematical fallacy

helder_edwin · Answer

the argument shows that k/0 is undefined.

hartnn · Answer

actually 2/0 is infinity.
but since infinity is not defined for you yet, you treat it as undefined.
you know what is the notion of infinity ? 
i represents a very very large number.
and k/0 has a very very small (infact =0) denominator, so overall the fraction will be very very large (infact infinity)

anonymous · Answer

There must be some logic behind it and i want the logic.

anonymous · Answer

yes i know infinity

hartnn · Answer

infinity represents... ****

anonymous · Answer

i is a complex number if i am not wrong

anonymous · Answer

Sorry I made a mistake. The denominator smaller, the value of fraction greater. So a mathematician had said k/0 should be infinity.

helder_edwin · Answer

k/0 "is" infinity only in the system of the extended real numbers.

anonymous · Answer

But why any pure logic behind it??

anonymous · Answer

My teacher couldn't explain it to me .

hartnn · Answer

thats the logic
when denominator is small, fraction is large 
when denominator = 0, fraction = infinity

anonymous · Answer

ohk thanks all for answering

anonymous · Answer

But if the denominator is smaller than zero will it be greater than infinity???

anonymous · Answer

I know it can't be

hartnn · Answer

smaller than 0 >>>>>negative 
you mean values like -0.0000000001 ??
it would be near to -infinity then

hartnn · Answer

by >>>>>> , i meant 'means' and not greater than

anonymous · Answer

-1??? smaller than zero so should be greater than infinity?? but it is not

hartnn · Answer

what is smaller than 0 ?

hartnn · Answer

nothing is greater than infinity

anonymous · Answer

x<0 x{-1,-2,-3.................................................)

hartnn · Answer

yeah, so like k/-2 will not be greater than infinity  right ?

anonymous · Answer

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