No, the natural numbers are not closed under division. For example, 2 and 3 are natural numbers, but 2/3 is not.
Yes. The set of real numbers is closed under addition, subtraction, multiplication. The set of real numbers without zero is closed under division.
If you can never, by multiplying two whole numbers, get anything but another whole number back as your answer, then, YES, the set of whole numbers must be closed under multiplication.
The set of rational numbers is closed under all 4 basic operations.
No. The set of rational numbers is closed under addition (and multiplication).
IS natural numbers are closed under multiplication? Please answer as soon as possible. Thank You!
Yes.
The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.
No.
Rational numbers are closed under addition, subtraction, multiplication. They are not closed under division, since you can't divide by zero. However, rational numbers excluding the zero are closed under division.
Yes.
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.
Yes.
yes
Yes.
Yes, it is.
Yes.