Properties whole Numbers  Closure
Whole numbers are numbers starting from 0
Eg: 0, 1, 2, 3, 4, ….
Operation 
Closed or not 

Addition 
3 + 5 = 8 8 is a whole number Also, 2 + 0 = 2 2 is a whole number So, whole numbers are closed under addition 
So, if we add any two numbers,
we get a whole number So, it is closed 
Subtraction 
3 – 5 = –2 But, –2 is not a whole number So, whole number are not closed under subtraction

So, if we subtract any two numbers, we do not get a whole number So, it is not closed 
Multiplication

3 × 5 = 15 15 is a whole number Also, 2 × 0 = 0 0 is a whole number So, whole numbers are closed under multiplication 
So, if we multiply any two numbers, we get a whole number So, it is closed 
Division

3 ÷ 5 = 3/5 But, 3/5 is not a whole number So, whole number are not closed under division 
So, if we divide any two numbers, we do not get a whole number So, it is not closed 
Hence,
Whole numbers are closed under Addition and Multiplication
but not under Subtraction and Division