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Home >> Commutative Property >> Multiplication of Integers >>

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

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

Example 1= Explain Commutative Property for multiplication of integers (-5) & (-7) ?
Answer = Given Integers = (-5), (-7) and their two orders are as follows :-
Order 1 = (-5) × (-7) = 35
Order 2 = (-7) × (-5) = 35
As in both the orders the result is same i.e 35
So, we can say that Multiplication is Commutative for Integers.

Example 2= Explain Commutative Property for multiplication of integers (-20) & (-8) ?
Answer = Given Integers = (-20), (-8) and their two orders are as follows :-
Order 1 = (-20) × (-8) = 160
Order 2 = (-8) × (-20) = 160
As in both the orders the result is same i.e 160
So, we can say that Multiplication is Commutative for Integers.

Example 3= Explain Commutative Property for multiplication of integers (-10) & (-20) ?
Answer = Given Integers = (-10), (-20) and their two orders are as follows :-
Order 1 = (-10) × (-20) = 200
Order 2 = (-20) × (-10) = 200
As in both the orders the result is same i.e 200
So, we can say that Multiplication is Commutative for Integers.

### Study More Solved Questions / Examples

 We know that multiplication is commutative for whole numbers, does it apply same as on integers ? Explain commutative property for multiplication of integers, with variables a and b. Prove multiplication is commutative for integers with the help of two negative integers i.e. (-6) & (-1). Prove multiplication is commutative for integers with the help of two positive integers i.e. 7 & 9. Prove multiplication is commutative for integers with the help of one positive integers & one negative integer i.e. 11 & (-2) If a = 58 and b = 2, Prove ab = ba. And also write what this property is known as ? If x = (-17) and y = 22, Prove xy = yx. And also write what this property is known as ? If p = (-39) and q = (-42), Prove pq = q + p. And also write what this property is known as ?

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