Question

Closure property is satisfied in whole numbers w.r.t. to ......... and ......... .

A

addition and subtraction

B

addition and division

C

addition and multiplication

D

multiplication and division.

Medium

Solution

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Correct option is C)

Closure property for addition : 

If and are two whole numbers and their sum is , i.e. , then is will always a whole number.
For any two whole numbers and , is also a whole number. For example:

which is also a whole number. 

But  which is not a whole number.

So, the property of closure for subtraction is not always true.

Closure property for multiplication : 

If and are whole numbers then their multiplication is also a whole number.

For any two whole numbers and , is also a whole number.For example:

which is also a whole number. 

But property of closure is not always true for division. For example:

not defined 
As division with zero is not possible.

Hence, closure property is satisfied in whole numbers w.r.t. to addition and multiplication.

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