Question

The set of Natural numbers is said to be 'CLOSED' under the operation '+' because for any Natural numbers m and n, the number m + n is also a Natural number. Under which operations is the set of Integers 'CLOSED'?​

Answer 1

Answer:

For the set of natural numbers, addition of two natural numbers will always give another natural number i.e., a+b∈N, ∀a,b∈N. Hence, the set of natural numbers is closed under addition. ... Hence, we can say that the set of natural numbers is closed under addition and multiplication but not under subtraction and division.

Answer 2

Answer:

For the set of natural numbers, addition of two natural numbers will always give another natural number i.e., a+b∈N, ∀a,b∈N. Hence, the set of natural numbers is closed under addition. ... Hence, we can say that the set of natural numbers is closed under addition and multiplication but not under subtraction and division.