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I heard that any number divided by zero(0) is undefine.
But zero(0) divided by zero(0) is 1 as both zeroes are cancelled.
 
 
Please give answer for this question.
 
 

Asked by Asrith 7th April 2017, 11:07 AM
Answered by Expert
Answer:
Hi Student,
 
According to me it is neither 1, nor 0 nor infinity.

Consider the following.

Say the numerator is the number of sweets distributed among the denominator which is the number of children, so how many sweets did each child get?

It’s complete senseless when we say 0 sweets were distributed among 0 children.

Hence, we cannot say each child got 1 sweet

   .....(Since there were 0 sweets in the beginning hence, how can one get 1 sweet).

We cannot say each child gets 0 sweets 

  ......(Since there were no children from the beginning, so there aren’t any children to distribute 0 sweets),

and clearly infinity is just not the answer.

Now,

 0 over 0 is an 'indeterminate form' (that is, not defined).

Different methods give different values for this expression.
The argument is, that the answers could be 1 or 0. It obviously cannot be both. So, we take this as an 'indeterminate form' (that is, not defined). This is the same as 00 or infinity over infinity, etc.
These are all examples of 'indeterminate form'. You will learn this in detail in higher standards.

 

Answered by Expert 7th April 2017, 4:51 PM
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