Question

Which of the following sets is closed under division? natural numbers non-zero integers irrational numbers non-zero rational numbers

Answer 1

nonzero rational numbers

Yes because it is impossible to divide our way out of the set of
nonzero rational numbers. For example we can start with two nonzero
rational numbers, say 73%2F99 and 21%2F13%2C+and+divide+them+and+get+%7B%7B%7B949%2F2079, which is indeed a nonzero rational number. So we cannot
divide our way out of the set of nonzero rational numbers. Since this
is not possible, the set of nonzero rational numbers is indeed closed
under division.

Answer 2

thanks :)

Answer 3

Np