The associative property of multiplication states that the way in which numbers are grouped in a multiplication problem does not change the product. Mathematically, for any real numbers $a$, $b$, and $c$, $(a \cdot b) \cdot c = a \cdot (b \cdot c)$.
Commutative Property of Multiplication: The commutative property states that changing the order of factors does not change their product: $a \cdot b = b \cdot a$.
Distributive Property: $a(b + c) = ab + ac$. It combines addition and multiplication.
Identity Property of Multiplication: $a \cdot 1 = a$. Any number multiplied by one remains unchanged.