Yes: Multiplying any two counting numbers will produce a counting number.
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The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.
Yes.
yes
l think multiplication
Any set where the result of the multiplication of any two members of the set is also a member of the set. Well known examples are: the natural numbers (ℕ), the integers (ℤ), the rational numbers (ℚ), the real numbers (ℝ) and the complex numbers (ℂ) - all closed under multiplication.