Closure of whole Numbers

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

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