__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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