Question

Which of the following property is not applicable to addition of whole numbers?

• A. Closure property
• B. Commutative property
• C. Associative property
• D. None of these

Answer 1

Answer: (D)

None of these

Let us have a look at the properties of whole numbers under addition:

(i) Closure property : When we add or multiply any two whole numbers we get a whole number. For example:

$9+8=17$ which is also a whole number.

Therefore, whole numbers are closed under addition.

(ii) Commutative property : You can add whole numbers in any order. This property is known as commutative property for addition. For example:

$5+11=11+5=16$

Therefore, whole numbers are commutative under addition.

(iii) Associative of addition : This means that in an addition expression; even if we make different groups with same given whole numbers, then also the sum in all the groups always remains the same. This property is also known as Associative property of Addition of Whole Numbers. For example:

Group 1 $=(5+6)+7=11+7=18$

Group 2 $=5+(6+7)=5+13=18$

As, in both the groups the sum is same that is $18$.

Therefore, whole numbers are associative under addition.

Hence, none of the property is not applicable to addition of whole numbers.