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Home >> Commutative Property >> Division of integers >>

Commutative Property (Division 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 :-
Division is not commutative for Integers, this means that if we change the order of integers in the division expression, the result also changes.

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

Example 1= Explain Commutative Property for Division of Integers, with given integers (-8) & (-4) ?
Answer = Given Integers = (-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 Integers.






Example 2= Explain Commutative Property for Division of Whole Numbers, with integers (-27) & (-9) ?
Answer = Given Integers = 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 Integers.


Example 3= Explain Commutative Property for Division of Whole Numbers, with given whole numbers 18 & 24 ?
Answer = Given Integers = 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 Integers.



Study More Solved Questions / Examples

  • Explain division is not commutative for integers; with the help of two positive integers.
  • Explain division is not commutative for integers; with the help of two negative integers.
  • Explain division is not commutative for integers; with the help of one negative integers and one positive integer.
  • If p = 7 and q = 49 , explain commutative property of division of integers, which says that (p ÷ q) ≠ (q ÷ p).
  • If a = (-86) and b = (-42) , explain commutative property of division of integers, which says that (a ÷ b) ≠ (b ÷ a).
  • If x = 111 and y = (-222), explain commutative property of division of integers, which says that (x ÷ y) ≠ (y ÷ x).
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