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Class 10 > Learn Mathematics > prove that 0/0 =2
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prove that 0/0 =2

 

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this is a conceptually wrong question as 0/0 does not give a unique value. hence division by 0 is undefined. how? 0/0 = (0 * 2)/0 = 2 (cancelling 0 from both numerator and dinominator). now you see you can get any value by multiplying 0 by any number as the product will always be 0 (without changing...
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this is a conceptually wrong question as 0/0 does not give a unique value. hence division by 0 is undefined. how?

0/0 = (0 * 2)/0 = 2 (cancelling 0 from both numerator and dinominator).

now you see you can get any value by multiplying 0 by any number as the product will always be 0 (without changing the question). hence division by 0 is not possible.

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0/0=2/1 Cross multiple LHS=0×1=0 RHS=2×0=0 LHS=RHS Hence proved
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4-4/4-4 (2*2-2*2)/2(2-2) ((2+2)*(2-2))/2(2-2)=4/2=2
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The proof goes like: 0/0=2x0/1x0=2/1 The problem is in the first line, when you write 0/0, which is undefined. Of course you could define it, but then it would be equal to every rational number since a/b=c/d if ad=bc, and if a=b=0, then this is always true, since for any c and d, 0xd=0xc. But...
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The proof goes like:

0/0=2x0/1x0=2/1

 

The problem is in the first line, when you write 0/0, which is undefined. Of course you could define it, but then it would be equal to every rational number since

a/b=c/d

 

 

if ad=bc, and if a=b=0, then this is always true, since for any c and d, 0xd=0xc.

 

But then all rational numbers in the world are equal to each other, so there is only really one rational number: 0/0, which is wrong.

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let us assueme p=0 then 0/0 will become p/p then it is 0/0 =1 only. how you got 2?
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(100-100)/(10-10)*10 (10^2-10^2)/(10-10)*10 (10+10)(10-10)/10*(10-10) (10+10)/10 20/10 2
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(100-100)/10*(10-10) (10^2-10^2)/10*(10-10) (10+10)*(10-10)/10*(10-10) (10+10)/10 20/10 2
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anything multiplied by 0 becomes 0 so we can write Numerator as 2*0 then it becomes (2*0)/0 taking assumption p=0 then 2*p/p so answer is 2 but we can make any result using this this is not unique solution problem
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0/0 is not defined
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