Believe it or not, but most people think that it is : 0 divided by 0, but the answer to that one is just infinity, no the most difficult question in math is does 0.999....= 1, while the official answer says yes there are still those who would debate otherwise and personally I think 0.999...≤1 at the same time.
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0 divided by 0 is not infinity: it is not defined. The binary operation, division, is only defined for non-zero divisors.
As to the second point, I suggest you study Dedekind's definition of numbers. 0.999... is the infimum of the set which defines 1, as is the integer 1. And therefore, the two are equal.
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Division is defined as a/b or how many times you can take b out of a before it is depleted since you can take 0 out of 0 infinity times without depletion the answer to 0/0 is infinity, this is the definition that we are all taught in elementary school so I don't know what you think your definition is based on but it's wrong.
At your second point I did say what the official answer is if you actually bother to read it but I'm not the only one who is in disagreement with the official answer so quoting the official answer isn't really saying anything different from what I said.
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Go to school and learn how to do engineering maths.
2nd puc solved maths question of march 2009
The answer is 100,000,000 because you need to do maths on this question. NO OTHER SUBJECT IS NEEDED ON THIS MATHS QUESTION.