DIVISION BY ZERO

Dividing a number by zero results undefined or infinity.

Dividng a positive number by zero results positive infinity and dividng a negative number by zero results negative infinity.

How?

To get answer for the above question, first, lets understand what is infinity.

Positive infinity (+∞) : A very large infinite positive value.

Negative infinity (-∞) : A very large infinite negative value.

Consider the number 1.

Divide the number 1 by 1000, 1000, 100, 10, 1, 0.1, 0.01, 0.001 and so on.

When 1 is divided by 1000, it results 0.001.

When 1 is divided by 100, it results 0.01.

When 1 is divided by 10, it results 0.1.

When 1 is divided by 1, it results 1.

When 1 is divided by 0.1, it results 10.

In this way, when we keep decreasing the value of the number by which we divide 1, the result is getting increased.

For example, when we divide 1 by a small value 0.0001, it results a large value 10000.

When we divide 1 by a very small value like 0.000001 which is close zero, it results a large value 10,00,000.

What if we divide 1 by zero?

It will result a very large infinite value, that is called infinity.

Since infinity is a very large infinite value, it can also be called as undefined.

Therefore, when we divide a number by zero, the result is infinity or undefined.

Note :

When a positive number is divided by zero, it will result positive infinity (+∞) and when a negative number is divided by zero, it  will result negative infnity (-∞). 

In the above working, a positive number 1 is divided by zero, so it results positive infinity.

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