Posted by **jake** on Wednesday, September 12, 2012 at 11:22pm.

What expression is a counterexample to the statement The whole numbers are closed under division

2 divided by 10th

10 divided by 2

Please explain to me which one is the correct

- math -
**Reiny**, Thursday, September 13, 2012 at 8:58am
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.

- math -
**Steve**, Thursday, September 13, 2012 at 10:14am
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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