Commutative Property (Division of Whole Numbers) at Algebra Den

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Home >> Commutative Property >> Division of Whole Numbers >>

Commutative Property (Division of Whole Numbers)

Addition of Integers Addition of Whole Numbers Division of integers Division of Whole Numbers Multiplication of Integers
Multiplication of Whole Numbers Subtraction of Integers Subtraction of Whole Numbers

Explanation :-
Division is not commutative for Whole Numbers, this means that if we change the order of numbers in the division expression, the result also changes.

Commutative Property for Division of Whole Numbers can be further understood with the help of following examples :-

Example 1= Explain Commutative Property for Division of Whole Numbers, with given whole numbers 8 & 4 ?
Answer = Given Whole numbers = 8, 4 and their two orders are as follows :-
Order 1 = 8 ÷ 4 = 2
Order 2 = 4 ÷ 8 = 1/2
As, in both the orders the result of division expression is not same,
So, we can say that Division is not Commutative for Whole numbers.

Example 2= Explain Commutative Property for Division of Whole Numbers, with given whole numbers 27 & 9 ?
Answer = Given Whole numbers = 27, 9 and their two orders are as follows :-
Order 1 = 27 ÷ 9 = 3
Order 2 = 9 ÷ 27 = 1/3
As, in both the orders the result of division expression is not same,
So, we can say that Division is not Commutative for Whole numbers.

Example 3= Explain Commutative Property for Division of Whole Numbers, with given whole numbers 18 & 24 ?
Answer = Given Whole numbers = 8, 4 and their two orders are as follows :-
Order 1 = 18 ÷ 24 = 3/4
Order 2 = 24 ÷ 18 = 4/3
As, in both the orders the result of division expression is not same,
So, we can say that Division is not Commutative for Whole numbers.

Study More Solved Questions / Examples

Explain, division is not commutative for whole numbers.

Prove (a ÷ b) ≠ (b ÷ a) and what is this property called ?

Solve (99 ÷ 18) and (18 ÷ 99). Are both same and what this property is known as ?

If p = 216 and q = 36, explain commutative property of division of whole numbers, which says that (p ÷ q) ≠ (q ÷ p).

As per commutative property of division of whole numbers we know that division is not commutative for whole numbers. Explain this with the help of two different pairs of whole numbers.