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

## Comments

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TopNewestYou divided by 0 by canceling 10-10, but division by zero is undefined. – حكيم الفيلسوف الضائع · 3 years ago

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why not 100-100/100-100=0/0 – Anisha Mohapatra · 1 year, 2 months ago

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While cancelling, you are assuming that \(\dfrac{0}{0} = 1\) which is not the case – Akhil Bansal · 1 year, 7 months 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 · 1 year, 8 months 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 · 1 year, 8 months ago

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– Anik Mandal · 1 year, 8 months ago

Oh yes you are correct my dear :pLog in to reply

no.....you cannot divide the numerator and denomenator with zero – Satwik Kumar · 1 year, 9 months ago

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Diving by zero is the wrong step – Hjalmar Orellana Soto · 1 year, 9 months ago

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how its possible...? – Mobin Mithun · 1 year, 10 months ago

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Is \(\lim _{ x->a }{ f(x) } =\frac { 0 }{ 0 } \) defined? If yes, why so? – Manish Dash · 1 year, 11 months ago

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10-10=0 in maths /0 is error – Hilmi Haniffa · 2 years, 1 month ago

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10-10 and 10-10 cannot be cancelled cause 0 and 0 cannot be cancelled – Ajay Chandra · 2 years, 1 month 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 · 2 years, 11 months ago

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Dividing zero by zero is not defined...Π™ – Raideep Singh · 3 years ago

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Wrongggg.... … – Raideep Singh · 3 years ago

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Could anyone give me an exact reason as to why division by 0 is undefined........ – Anik Mandal · 3 years ago

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– Kushagra Sahni · 3 years ago

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 equationLog in to reply

– Anik Mandal · 3 years ago

Thanks for your explanation!Log in to reply

– Edjoy Rodelas · 3 years ago

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

– Baidehi Chattopadhyay · 3 years ago

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 downLog in to reply

– Anik Mandal · 3 years ago

Well, thanks!Log in to reply

– Baidehi Chattopadhyay · 3 years ago

Welcome anik :)Log in to reply

NO YOU CANCELLED (10-10) WHICH IS 0 AND DIVISION BY 0 IS NOT DEFINED – Kushagra Sahni · 3 years ago

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– Winston Astillero · 3 years ago

yeah i was alarmed thoughLog in to reply

Gud – Shrey Fadia · 3 years ago

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– Kushagra Sahni · 3 years ago

WHAT DO YOU MEAN BY GOOD ? IT IS COMPLETELY WRONG!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Log in to reply

– Shrey Fadia · 3 years ago

Hey its wrong i too know it...practically its not possible but theoretically its possible.Log in to reply

– Anik Mandal · 3 years ago

How can it be theoretically possible, Shrey?????Log in to reply

– Kushagra Sahni · 3 years ago

NO NOT EVEN THEOROTICALLY. THE STEPS HE PERFORMED ARE ABSOLUTELY WRONG. HE DIVIDE BY 0Log in to reply

– Baidehi Chattopadhyay · 3 years ago

Theoretically possible? IT's using division by zero. the main step is not possible even! how can it be theoretically possible,,lolLog in to reply

– حكيم الفيلسوف الضائع · 3 years ago

Even theoretically it's impossible since it uses division by zero, which as we all know is undefined.Log in to reply