Tuesday, April 7, 2015

Why can zero not be divided?

Zero can be divided any number. But any number can not be
divided by zero.


Example and
explanation:


0/1 = 0. 0/6 = 0. 0/any number =  0. By these
simple examples we conclude that zero can be divided by any number other than zero and
the result is zero.


Now we take 5*1 = 5 implies 5/5 =
1.


9*2 = 18. So 18/9 = 2.


9*0
= 0, 5*0 = 0, 13*0 = 0. So any number * 0 =
0
......(1)


Therefore  ny number*0 = 0,
implies that from 0/0 = any number. So 0/0 is an
indeterminate number. There is no fixed answer to the form
0/0.


From (1) logically we
get:


There is no number * zero  = a number
than zero.


Therefore, no number = a number
other than zero/zero.


Or x/0 = no
number
, where x is any number.


Thus we can
not divide a number by zero.


Now we go by a graph to see
what happens to a continuous graph of 1/x as x  approaches zero from positive side and
negative side.


If you consider f(x) = 1/x as continuous
function, then look at the values of 1/x as we go towards zero from positive side. It
goes on increasing positively without any
bound
.


Now consider f(x) = 1/x .The value of
1/x is negative when we x< 0. We notice that when x approaches zero from negative
side , we see that the value of x becomes lager and larger negatively
without any bound.


Plot the graph and see
whether we can decide anything any particular for f(x) = 1/x when x= 0.  1/x remains
undecided. The graph has the greatest jump or discontinuity at x = 0. The same principle
holds for for  the value of any number/0 is undefined in
mathematics.

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