Yes.
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.
Yes, closure is a property of natural numbers. In mathematics, a set is said to be closed under an operation if performing that operation on members of the set always produces a member of the same set. For example, the set of natural numbers is closed under addition and multiplication, as the sum or product of any two natural numbers is always a natural number. However, it is not closed under subtraction or division, as these operations can yield results that are not natural numbers.
Yes.
Yes.natural numbers are closed under multiplication.It means when the operation is done with natural numbers in multiplication the sum of two numbers is always the natural number.
IS natural numbers are closed under multiplication? Please answer as soon as possible. Thank You!
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.
Yes.