What is the difference between the associative property and commutative property?

Associative property explains that addition and multiplication of numbers are possible regardless of how they are grouped.

• Associative Property of Addition: Associative property of addition states that

$(a+b)+c = a+(b+c)$

• Associative Property of Multiplication: Associative property of multiplication states that

$(a \times b) \times c = a \times (b \times c)$

The commutative property for addition or multiplication states that we can add or multiply Integers/Rational numbers in any order.

• The commutative property for addition: commutative property for addition states that

$a+b = b+a$

• The commutative property for multiplication: commutative property for multiplication states that

$a \times b = b \times a$