Posted by jake on Wednesday, September 12, 2012 at 11:22pm.
Your statement of
"The whole numbers are closed under division" is contradicted by 2 ÷ 10 .
btw , you probably did not mean 10th
since 2 ÷ a 10th
= 2 ÷ 1/10)
= 2 (10/1) = 20 , which would NOT be a counterexample.
In fact, it's an incorrect attempt, since you are supposed to be dealing with integers. 1/10 is not an integer, so you can't use it as a divisor.
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