


Description 



Division by Zero: Division by zero is not allowed. See the discussion below for reasons why. 
Division by Zero
It is often said that division by zero is undefined, so you
cannot do it! But why is it undefined? Consider the following cases:
Case1: a ÷ 0, where a is not zero.
Let a ÷ 0 = c. Then a = 0 x c = 0. But we said that a is
not zero. So, we say that division by zero is undefined for this
case.
Case 2: 0 ÷ 0.
Let 0 ÷ 0 = c. Then 0 = 0 x c. Since 0 x c = 0, we can
pick any value for c. We cannot determine what c really is. So, we say
that division by zero is undefined for this
case.
As another explanation for why we do not divide by zero,
consider the function where x lies between 1 and 1. Graph the function
and look at the graph for values that are close to 0, but on either side of 0.
What do you notice?


