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Home >> Commutative Property >> Subtraction of Integers >>

Commutative Property (Subtraction of Integers)

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 integers, this means that when we change the order of integers in subtraction expression, the result also changes.

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

Example 1 = Explain Commutative Property for subtraction of integers (-7) & (-17) ?
Answer = Given Integers = (-7), (-17) and their two orders are as follows :-
Order 1 = (-7) - (-17) = 10
Order 2 = (-17) - (-7) = (-10)
As, in both the orders the result is different.
So, we can say that Subtraction is not commutative for integers.






Example 2 = Explain Commutative Property for subtraction of integers (-3) & (-9) ?
Answer = Given Integers = (-3), (-9) and their two orders are as follows :-
Order 1 = (-3) - (-9) = 6
Order 2 = (-9) - (-3) = (-6)
As, in both the orders the result is different.
So, we can say that Subtraction is not commutative for integers.






Example 3 = Explain Commutative Property for subtraction of integers (-20) & (-30) ?
Answer = Given Integers = (-20), (-30) and their two orders are as follows :-
Order 1 = (-20) - (-30) = 10
Order 2 = (-30) - (-20) = (-10)
As, in both the orders the result is different.
So, we can say that Subtraction is not commutative for integers.

Study More Solved Questions / Examples

  • Explain subtraction is not commutative for integers; with the help of two positive integers.
  • Explain subtraction is not commutative for integers; with the help of two negative integers.
  • Explain subtraction is not commutative for integers; with the help of one negative integers and one positive integer.
  • If p = 43 and q = 79 , explain commutative property of subtraction of integers, which says that (p q) ≠ (q p).
  • If a = (-867) and b = (-44) , explain commutative property of subtraction of integers, which says that (a b) ≠ (b a).
  • f x = 629 and y = (-351) , explain commutative property of subtraction of integers, which says that (x y) ≠ (y x).
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