Just curious: How did 0 over 0 becomes undefined? If we suppose that it has an equivalent value and when we multiply both sides by 0 it will be 0=0. so why undefined?

Question

amistre64 · Answer

by the mere fact that its not able to be defined a defininte value

amistre64 · Answer

if 0/0 = some umber k

0/0 = k  would suggest that there is some unique value k such that 0 = 0k

kainui · Answer

The reason 0/0 is undefined is because you can interpret it as many things. Calculus basically looks at this.

anonymous · Answer

hmmmm. so zero isn't considered as a unique value?

amistre64 · Answer

of course not...

0*1 = 0
0*2 = 0
0*234958723498673894689035672372306 = 0
0*pi = 0
0*e = 0

etc ...

amistre64 · Answer

do all those values of 0*k suggest that they are all equal to 0?

anonymous · Answer

okay. thanks. :) @amistre64

anonymous · Answer

Anything multiplied by 0 is 0. Therefore, 0/0 is undefined cuz it can have many solutions.

amistre64 · Answer

undefined does not mean useless :)  it just means that there is no way to define a numerical value to it

kainui · Answer

Similarly we can also think about 1 to any positive power. 1^0, 1^1, 1^2, etc...

anonymous · Answer

aaaaahhh. now I get it. thanks sir @amistre64  and others that replied. thank you.
:D

kainui · Answer

Sorry, more like 1 to any integer power, not positive.

kainui · Answer

The connection is log(1)=0 for every base, that's really all I'm getting at, this relationship. Not trying to be completely useless here but whatever if this isn't interesting to you lol.

anonymous · Answer

hahah. it's not useless sir. still, thanks for the response. the more the reasons the better. @Kainui
:)