Suppose a problem be given that \(\frac{100-100}{100-100}\) =?

Couldn't we solve it in this manner?

\(\frac{100-100}{100-100}\)

= \(\frac{10^2-10^2}{10(10-10)}\)

= \(\frac{(10+10)(10-10)}{10(10-10)}\)

Cancelling 10-10 from the numerator and the denominator we get,

\(\frac{10+10}{10}\)

= \(\frac{20}{10}\)

=2

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## Comments

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TopNewestYou divided by 0 by canceling 10-10, but division by zero is undefined.

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NO YOU CANCELLED (10-10) WHICH IS 0 AND DIVISION BY 0 IS NOT DEFINED

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yeah i was alarmed though

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Could anyone give me an exact reason as to why division by 0 is undefined........

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Dividing by 0 is not defined because if you divide 0/0 you can get any value from negative infinity to positive infinity because any number into 0 is 0. and if the numerator is non-zero then no number can satisfy the satisfy the equation

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Thanks for your explanation!

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If you divide by zero then all numbers become equal and this is thus meaningless, so division by zero is defined to be undefined!! If division by zero was defined then almost entire mathematics would crumble down

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Well, thanks!

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try to divide a cake made of air. it is like you cannot divide that does not a value or just "nothing".. :)

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Wrongggg.... …

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Dividing zero by zero is not defined...Π™

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Dear friends why u getting problem in this is because u underestimated or forgot one thing that is

10^2=100. And -10^2 is also 100 so u must take. Both under consideration

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10-10 and 10-10 cannot be cancelled cause 0 and 0 cannot be cancelled

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10-10=0 in maths /0 is error

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Is \(\lim _{ x->a }{ f(x) } =\frac { 0 }{ 0 } \) defined? If yes, why so?

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how its possible...?

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Diving by zero is the wrong step

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no.....you cannot divide the numerator and denomenator with zero

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no can't do so my dear , because 0 (= 10-10) can't be cancelled from the numerator & denominator , and if we do so then we will get the answer which we ourselves can't explain

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Oh yes you are correct my dear :p

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Well, 100-100=0, so from the very start you're kinda messing yourself over :P

To the point where no step doesn't divide by zero until (10+10)/10

It took me a while to notice though.

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While cancelling, you are assuming that \(\dfrac{0}{0} = 1\) which is not the case

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why not 100-100/100-100=0/0

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Gud

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WHAT DO YOU MEAN BY GOOD ? IT IS COMPLETELY WRONG!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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Hey its wrong i too know it...practically its not possible but theoretically its possible.

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