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The Real Product (Posted on 2019-06-11) Difficulty: 1 of 5
If all real numbers were to be multiplied to each other, what would be the product?

(a) Undefined
(b) Imaginary Number
(c) None of these

No Solution Yet Submitted by Danish Ahmed Khan    
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attempt | Comment 1 of 12
Reals are not countable, so I have no idea how to set up the product.
But, since zero is real, doesn't that scotch the whole deal and make the answer 0? (ans. c). 

I do wonder what the answer would be excluding 0. Could you pairwise multiply all R with 1/R... and get 1?? (You'd have to include "1" only once, but it would not mind.)


Edited on June 11, 2019, 5:10 pm
  Posted by Steven Lord on 2019-06-11 17:06:28

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