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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, 2 months ago

## Comments

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You divided by 0 by canceling 10-10, but division by zero is undefined. · 3 years, 2 months ago

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why not 100-100/100-100=0/0 · 1 year, 4 months ago

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While cancelling, you are assuming that $$\dfrac{0}{0} = 1$$ which is not the case · 1 year, 9 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. · 1 year, 10 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 · 1 year, 10 months ago

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Oh yes you are correct my dear :p · 1 year, 10 months ago

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no.....you cannot divide the numerator and denomenator with zero · 1 year, 11 months ago

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Diving by zero is the wrong step · 1 year, 11 months ago

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how its possible...? · 2 years ago

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Is $$\lim _{ x->a }{ f(x) } =\frac { 0 }{ 0 }$$ defined? If yes, why so? · 2 years, 1 month ago

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10-10=0 in maths /0 is error · 2 years, 3 months ago

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10-10 and 10-10 cannot be cancelled cause 0 and 0 cannot be cancelled · 2 years, 3 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 · 3 years, 1 month ago

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Dividing zero by zero is not defined...Π™ · 3 years, 2 months ago

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Wrongggg.... … · 3 years, 2 months ago

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Could anyone give me an exact reason as to why division by 0 is undefined........ · 3 years, 2 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 · 3 years, 2 months ago

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Thanks for your explanation! · 3 years, 2 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".. :) · 3 years, 2 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 · 3 years, 2 months ago

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Well, thanks! · 3 years, 2 months ago

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Welcome anik :) · 3 years, 2 months ago

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NO YOU CANCELLED (10-10) WHICH IS 0 AND DIVISION BY 0 IS NOT DEFINED · 3 years, 2 months ago

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yeah i was alarmed though · 3 years, 2 months ago

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Gud · 3 years, 2 months ago

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WHAT DO YOU MEAN BY GOOD ? IT IS COMPLETELY WRONG!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! · 3 years, 2 months ago

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Hey its wrong i too know it...practically its not possible but theoretically its possible. · 3 years, 2 months ago

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How can it be theoretically possible, Shrey????? · 3 years, 2 months ago

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NO NOT EVEN THEOROTICALLY. THE STEPS HE PERFORMED ARE ABSOLUTELY WRONG. HE DIVIDE BY 0 · 3 years, 2 months ago

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Theoretically possible? IT's using division by zero. the main step is not possible even! how can it be theoretically possible,,lol · 3 years, 2 months ago

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Even theoretically it's impossible since it uses division by zero, which as we all know is undefined. · 3 years, 2 months ago

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