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math

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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 -

    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 -

    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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