. 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.

Best Answer

Explanation:

Whole number is said to be closed under an operation if and only if the operation performed on the number of the whole numbers produces a number that is also a whole number.

Hence, the sum of any two whole numbers is a whole number i.e. the collection of whole numbers is closed under addition.

And the multiplication of two whole numbers is also a whole number again. So, the system of whole numbers is closed under multiplication.

The subtraction of two whole numbers is not a whole number. For example, 3 and 5 are whole numbers but 3 - 5 = - 5 is not the whole number.

Similarly, numbers w.r.t is not a whole number. Hence, the whole number is not closed under subtraction and division.

Therefore, the closure property is satisfied in whole numbers w.r.t addition and multiplication.

 

Correct option is: (C) addition and multiplication.

That is, the closure property is satisfied in whole numbers w.r.t addition and multiplication.

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