Home
Additive Identity
Algebraic Expression
Arithmetic Expression
Associative Property
Averages
Brackets
Closure Property
Coefficient Of Variable
Commutative Property
Constants
Divisibility Principles
Factors
Fractions
H.C.F / G.C.D
Integers
L.C.M
Multipication Properties of Numbers
Multiples
Multiplicative Identity
Numbers
Order of Numbers
Percentages
Profit and Loss
Ratio and Proportion
Sieve of Eratosthenes
Unitary Method
Variables
| Commutative Property (Division of integers) Commutative Property (Addition of Integers) | Commutative Property (Addition of Whole Numbers) | Commutative Property (Division of integers) | Commutative Property (Division of Whole Numbers) | Commutative Property (Multipication of Integers) | Commutative Property (Multipication of Whole Numbers) | Commutative Property (Subtraction of Integers) | Commutative Property (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.
|