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Home >> Commutative Property >> Subtraction of Whole Numbers >>

Commutative Property (Subtraction 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 :-
Subtraction is not Commutative for Whole Numbers, this means that when we change the order of numbers in subtraction expression, the result also changes.

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

Example 1 = Explain Commutative Property for Subtraction of Whole numbers 5 & 7 ?
Answer = Given whole numbers = 5, 7 and their two orders are as follows :-
Order 1 = 5 - 7 = (-2)
Order 2 = 7 - 5 = 2
As, in both the orders the result is different.
So, we can say that Subtraction is not Commutative for Whole Numbers.


Example 2 = Explain Commutative Property for Subtraction of Whole numbers 23 & 43 ?
Answer = Given whole numbers = 23, 43 and their two orders are as follows :-
Order 1 = 23 - 43 = (-20)
Order 2 = 43 - 23 = 20
As, in both the orders the result is different.
So, we can say that Subtraction is not Commutative for Whole Numbers.


Example 3 = Explain Commutative Property for Subtraction of Whole numbers 20 & 5 ?
Answer = Given whole numbers = 20, 5 and their two orders are as follows :-
Order 1 = 20 - 5 = 15
Order 2 = 5 - 20 = (-15)
As, in both the orders the result is different.
So, we can say that Subtraction is not Commutative for Whole Numbers.


Study More Solved Questions / Examples

  • Explain, Subtraction is not commutative for whole numbers.
  • Prove (a b) ≠ (b a) and what is this property called ?
  • Solve (247 100) and (100 - 247). Are both same and what this property is known as ?
  • If p = 77 and q = 33, explain commutative property of subtraction of whole numbers, which says that (p q) ≠ (q p).
  • As per commutative property of subtraction of whole numbers we know that subtraction is not commutative for whole numbers. Explain this with the help of two different pairs of whole numbers.
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