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0 division help

Let x be any real no.

Then, if we do as follows:

\(\frac { 0 }{ x } \) , we get 0 as only \(x\times 0\) is 0

If we do \(\frac { x }{ 0 } \) it is indeterminate or not defined.(I know the reason)

But if we do \(\frac { 0 }{ 0 } \) we say the answer is 0. Is it really 0 or indeterminate because 0* any no. is 0 so should'nt the answer be not defined.

Please help.

Note by Satyajit Ghosh
3 years, 3 months ago

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Any number divided by \(0\) is undefined.

Dividing by a certain number is the same as multiplying by its multiplicative inverse.

The multiplicative inverse of \(0\) is not defined. You can try to define it, but you're going to run into inconsistencies. You can try to patch those inconsistencies by giving \(0^{-1}\) more properties. Then you're going to run into other inconsistencies. Finally you may be able to do it, but it won't be of much use.

Some things are best left undefined.

Mursalin Habib - 3 years, 3 months ago

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So you mean 0/0 is undefined. Right?

Satyajit Ghosh - 3 years, 3 months ago

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Yes, it is.

Mursalin Habib - 3 years, 3 months ago

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@Mursalin Habib Thanks

Satyajit Ghosh - 3 years, 3 months ago

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@Satyajit Ghosh Who says 0/0 is 0. That person is mad. Of course it is undefined

Kushagra Sahni - 3 years, 3 months ago

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@Satyajit Ghosh What a lame doubt

Kushagra Sahni - 3 years, 3 months ago

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@Kushagra Sahni Sorry Kushagra but your answer is more lame than my doubt

Satyajit Ghosh - 3 years, 3 months ago

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Hmm the answer should be not defined because 0/0 can also be equal to 1 like 2/2,3/3 are equal to 1 and it can also be 0 because 0 has no value ,so the answer can't be defined ^_^

Divij Bahl - 2 years, 1 month ago

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means of undefined.

Amar Nath - 3 years, 3 months ago

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It means that you cannot determine the answer.

As x * any no. cannot give x

Satyajit Ghosh - 3 years, 3 months ago

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what is the value if x/0. find

Amar Nath - 3 years, 3 months ago

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Its undefined.

Satyajit Ghosh - 3 years, 3 months ago

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