# What is commutative property and distributive property ? Explain.

Dear student

Commutative property means that changing the order of numbers does not change the result.

Commutative Property of Addition: It states that changing the order of addends does not change the sum, i.e.,

*a*+*b*=*b*+*a*.Example: 2 + 3 = 3 + 2

Commutative Property of Multiplication: It states that changing the order of factors does not change the product, i.e.,

*a*×*b*=*b*×*a*.Example: 4 × 7 = 7 × 4

Addition and multiplication are commutative where as subtraction and division is not commutative over rational numbers.

The distributive property of multiplication over addition (or subtraction) states that multiplying a sum (or difference) by a number is the same as multiplying each of the numbers by that number and then adding (or subtracting) the two products.

Example: 3 × (2 + 4) = (3

*×*2) + (3*×*4) 3 × (2 – 4) = (3

*×*2) – (3*×*4)Regards

**
**