Question

What is closure property?

Answer 1

In lay man's language, close property says that for a mathematical operation, if the numbers on which that operation if being performed to a certain set A (say), then the resultant of the expression should also belong to that set A. If not, then the closure property is not satisfied.

For example: $2$ and $3$ are both whole numbers.

On adding, $2+3=5$, which is also a whole number, therefore, closure property for addition on whole numbers is satisfied.

For subtraction, $2-3=-1$, which is not a whole number, hence closure property for subtraction on whole numbers is not satisfied.