# Commutative Property

Commutative is an algebra property that refers to moving stuff around. The Commutative property is changing the order of the operands doesn’t change the output. Commutative property is applicable for addition and multiplication, but not applicable for subtraction and division.

**Commutative Property of Addition
**Commutative property of addition is applicable for all type of numbers. Commutative property of addition for two real numbers a, b is given below,

**a + b = b + a **

**Commutative Property of Multiplication
**Commutative property of multiplication for two real numbers a, b is given below,

**a $\times$ b = b $\times$ a**

__Commutative Property Examples__

**Question 1:** Prove that 5 + 3 = 3 + 5 is true?

**Solution
**Given, 5 + 3 = 3 + 5

L.H.S.

5 + 3 = 8

R.H.S.

3 + 5 = 8

L.H.S = R.H.S

Hence, Commutative property for 5 + 3 = 3 + 5 is true.

**Question 2: **Is 5 $\times$ 3 = 3 $\times$ 5 satisfy the commutative property of multiplication?

**Solution
**Given, 5 $\times$ 3 = 3 $\times$ 5

L.H.S.

5 $\times$ 3 = 15

R.H.S.

3 $\times$ 5 = 15

L.H.S = R.H.S

Hence, Commutative property of multiplication for 5 $\times$ 3 = 3 $\times$ 5 is true.

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