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\(\frac{100-100}{100-100}\) =2

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

Note by Anik Mandal
3 years, 5 months ago

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

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

Anisha Mohapatra - 1 year, 7 months ago

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

Akhil Bansal - 2 years ago

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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.

Alex Li - 2 years, 1 month ago

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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

Nirmalya Basu - 2 years, 1 month ago

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Oh yes you are correct my dear :p

Anik Mandal - 2 years, 1 month ago

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

Satwik Kumar - 2 years, 2 months ago

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Diving by zero is the wrong step

Hjalmar Orellana Soto - 2 years, 2 months ago

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how its possible...?

Mobin Mithun - 2 years, 3 months ago

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

Manish Dash - 2 years, 4 months ago

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10-10=0 in maths /0 is error

Hilmi Haniffa - 2 years, 6 months ago

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

Ajay Chandra - 2 years, 6 months ago

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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

Rohit Singh - 3 years, 4 months ago

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

Raideep Singh - 3 years, 5 months ago

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Wrongggg.... …

Raideep Singh - 3 years, 5 months ago

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

Anik Mandal - 3 years, 5 months ago

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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

Kushagra Sahni - 3 years, 5 months ago

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Thanks for your explanation!

Anik Mandal - 3 years, 5 months ago

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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".. :)

Edjoy Rodelas - 3 years, 5 months ago

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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

Baidehi Chattopadhyay - 3 years, 5 months ago

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Well, thanks!

Anik Mandal - 3 years, 5 months ago

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@Anik Mandal Welcome anik :)

Baidehi Chattopadhyay - 3 years, 5 months ago

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

Kushagra Sahni - 3 years, 5 months ago

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yeah i was alarmed though

Winston Astillero - 3 years, 5 months ago

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Gud

Shrey Fadia - 3 years, 5 months ago

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

Kushagra Sahni - 3 years, 5 months ago

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

Shrey Fadia - 3 years, 5 months ago

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@Shrey Fadia How can it be theoretically possible, Shrey?????

Anik Mandal - 3 years, 5 months ago

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@Shrey Fadia NO NOT EVEN THEOROTICALLY. THE STEPS HE PERFORMED ARE ABSOLUTELY WRONG. HE DIVIDE BY 0

Kushagra Sahni - 3 years, 5 months ago

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@Shrey Fadia Theoretically possible? IT's using division by zero. the main step is not possible even! how can it be theoretically possible,,lol

Baidehi Chattopadhyay - 3 years, 5 months ago

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@Shrey Fadia Even theoretically it's impossible since it uses division by zero, which as we all know is undefined.

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