Yes. They are closed under addition, subtraction, multiplication. The rational numbers WITHOUT ZERO are closed under division.
Addition.
The set of whole numbers is not closed under division (by non-zero whole numbers).
No. Zero is a rational number, but division by zero is not defined.
No.A set is closed under subtraction if when you subtract any two numbers in the set, the answer is always a member of the set.The natural numbers are 1,2,3,4, ... If you subtract 5 from 3 the answer is -2 which is not a natural number.
No, the natural numbers are not closed under division. For example, 2 and 3 are natural numbers, but 2/3 is not.
Yesss.
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.
No.
no
Integers are closed under division I think o.o. It's either counting numbers, integers or whole numbers . I cant remember :/
IS natural numbers are closed under multiplication? Please answer as soon as possible. Thank You!
They are closed under all except that division by zero is not defined.
The whole numbers are not closed under division! The statement is false since, for example, 2/3 is not a whole number.
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 numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.