8/0 is what?

1 Answer
Jun 16, 2015

Answer:

It is undefined or you cannot evaluate it.

Explanation:

You cannot evaluate #8/0# because there is no real number (call it #a#) that can be solution of it:

If you try you get:
#8/0=a#
rearranging:

#8=a*0# that is not true!

#-------------------#

In Calculus you can have a way out or trick to "visualize" the idea behind #8/0# by choosing instead of #0# a value that is near #0# but not #0#, such as #0.001#
If you try to get as near as possible to zero increasing the number of zeros after the point you'll get very big numbers.
#8/0.1=80#
#8/0.01=800#
#8/0.001=8000#
etc.
the idea is that when you try to get near zero the result of the division gets bigger and bigger....or infinite!