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Home >> Commutative Property >> Addition of Integers >>

## Commutative Property (Addition 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 :-
Addition is Commutative for Integers, this means that even if we change the order of integers in addition expression, the result remains same. This property is also known as Commutativity for Addition of Integers

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

Example 1 = Explain Commutative Property for addition of integers (-5) & (-7).
Answer = Given Integers = (-5), (-7) and their two orders are as follows :-
Order 1 = (-5) + (-7) = (-12)
Order 2 = (-7) + (-5) = (-12)
As, in both the orders the result is same i.e (-12),
So, we can say that Addition is Commutative for Integers.

Example 2 = Explain Commutative Property for addition of integers (-23) & (-43).
Answer = Given Integers = (-23), (-43) and their two orders are as follows :-
Order 1 = (-23) + (-43) = (-66)
Order 2 = (-43) + (-23) = (-66)
As, in both the orders the result is same i.e (-66),
So, we can say that Addition is Commutative for Integers.

Example 3 = Explain Commutative Property for addition of integers (-20) & (-4).
Answer = Given Integers = (-20), (-4) and their two orders are as follows :-
Order 1 = (-20) + (-4) = (-24)
Order 2 = (-4) + (-20) = (-24)
As, in both the orders the result is same i.e (-24),
So, we can say that Addition is Commutative for Integers.

### Study More Solved Questions / Examples

 We know that addition is commutative for whole numbers, does it apply same as on integers ? Explain commutative property for addition of integers, with variables x and y. Prove Addition is commutative for integers with the help of two negative integers i.e. (-86) & (-14). Prove Addition is commutative for integers with the help of two positive integers i.e. 67 & 49. Prove Addition is commutative for integers with the help of one positive integers & one negative integer i.e. 113 & (-247) A) If a = 58 and b = 72, prove a + b = b + a and also write what this property is known as ? B) If x = (-127) and y = 282, prove x + y = y + x and also write what this property is known as ? C) If p = (-369) and q = (-842), Prove p + q = q + p and also write what this property is known as ?

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