No. Closed means that you could do the operation (division) on any two natural numbers and you would get a result in the natural numbers. Take 7/3 for example, this is obviously not a natural number.
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.
You can give hundreds of examples, but a single counterexample shows that natural numbers are NOT closed under subtraction or division. For example, 1 - 2 is NOT a natural number, and 1 / 2 is NOT a natural number.
IS natural numbers are closed under multiplication? Please answer as soon as possible. Thank You!
Integers are closed under division I think o.o. It's either counting numbers, integers or whole numbers . I cant remember :/
They are closed under all except that division by zero is not defined.
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.
The whole numbers are not closed under division! The statement is false since, for example, 2/3 is not a whole number.
The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.