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Ravi claims that integers are closed under division because 8 / 4 = 2 is an integer.
Is his reasoning that 'integers are closed under division' correct?
Choose the best response.

Class 7Properties of IntegersIntegers
  • ANo, because 4 / 8 is not an integer, so closure fails
  • BYes, division always gives an integer
  • CYes, but only for even numbers
  • DNo, because 8 / 4 is not an integer

Step-by-Step Solution

Closure requires the result to be an integer for EVERY pair. Since 4 / 8 = 0.5 is not an integer, integers are not closed under division. One example working out is not enough.
Answer: A) No, because 4 / 8 is not an integer, so closure fails

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