Division by zero

Division by zero

Are you shocked!

Oh no! I am not taking about how to divide a number by zero. Actually, that is not possible. But, some of us asks why?

Why we can not divide a number by zero?

 So, let's discuss about the matter with a deep inner sight!

  Before we start our journey, let's highlight the matter with an real life experience.

   In family we always share many things between our family members. Let , in a family there are 7 members and there are 14 cakes , so each family member can get 14/7=2 cakes.  

Again think that, in a family there are 7 members but there are no cake or 0 cake.

Then each member get 0 cake. So, 0/7=0.

  But, can you think about a matter that, in a family there are no members (just suppose) and there are 7 cakes and you have to distribute the cakes among them!

  How is it possible!!!

  Yes, this is the fact in the case of 7/0 also.

     

Yes, this the hidden truth!

There is an another method to realise that, why division by zero is undefined.

We know that, If we divide a number (dividend) by another number (divisor), we have a result(quotient), (assuming that remainder is 0).

Now, if we multiply the quotient with the divisor we will get the dividend back.convere is also true.

As for example, 14/7=2 and 7×2=14 and conversely also.

That's right!

Now,  if we divide 7 by zero, i.e., 7/0 and let result is 7/0.

But if we multiply 7/0 with 0 what we get?

We get, (7/0)×0=7×(0/0)=7.(Assuming that we can divide 0 by 0)

But, we know that, 0 ×(any number)=0.

So, (7/0)×0= 0.

Thus, we get, two different results, i.e., a contradiction arises.

So, our assumtions are wrong.

So, 7/0 is undefined.

Here, we must remember that, 0/0 is also undefined, it is called the indeterminate form.

So, our, conclusion is division by zero is undefined.

Did you know:Hero of mathematics is zero.

 If you find out any incorrect information or know anything more about this , please write it in the comment section!