Dictionary
search :       browse : 
A B C D E F G H I J K L M
  N O P Q R S T U V W X Y Z
         
Description
Related Terms
Everyday Examples
Interactive Checkpoint
More Information
Challenge
How to use this dictionary
Contact
 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?