  Question

A

B

C

D

All the above

Medium

Solution Verified by Toppr
Correct option is D)

Let us have a look at the properties of whole numbers under subtraction:(i) Closure property : If and are two whole numbers such that or , then is a whole number. If , then subtraction is not possible in whole numbers. For example: If and then, which is not a whole number.Therefore, whole numbers are not closed under subtraction.(ii) Commutative property : The subtraction of whole numbers is not commutative, that is, if and are two whole numbers, then in general is not equal to .Verification:We know that but which is not a whole number. Thus, for two whole numbers and if , then is a whole number but is not possible and if , then is a whole number but is not possible.Therefore, whole numbers are not commutative under subtraction. (iii) Associative of addition : The subtraction of whole numbers is not associative. That is, if are three whole numbers, then in general is not equal to .Verification:We have,,and, So, .Therefore, whole numbers are not associative under subtraction. Hence, all of the properties are not applicable to subtraction of whole numbers. 0 0