Question #4807b

1 Answer
Sep 14, 2016

#0/0# is undefined..

Explanation:

#0/0# is undefined..

One could explain this by saying there are 3 rules in place here.

"Zero divided by anything (except 0) is equal to 0"

#0/5 =0," "0/25 = 0, " "0/(-14) = 0# etc

"Anything divided by itself is equal to 1.

#5/5 = 1, " "37/37 = 1, " " (-12)/(-12) = 1# etc

"Division by 0 is not permissible/undefined"
Dividing by 0 actually gives infinity as the answer, but infinity is not a number.

So, we have 3 possible answers using valid maths concepts.

So which is it? #" "0?," " 1?" " "infinity"?#

No-one knows, so it best to just say that #0/0# is undefined.