Properties of multiplication are rules that help us understand how numbers work when multiplying. These rules make it easier to solve problems and check our answers.
Each property has its own rule. Learning them helps you see patterns and solve multiplication problems more quickly.
The Commutative Property says you can change the order of the numbers you multiply, and the answer will stay the same.
Think of it as “switching places” without changing the product.
The Associative Property says you can group numbers in different ways when multiplying, and the product will not change.
“Associative” means “to group.” The way you group numbers does not change the answer.
The Distributive Property lets you break apart a multiplication problem into smaller parts, then add the results together.
This property is very helpful when multiplying larger numbers.
The Identity Property says that any number multiplied by 1 stays the same.
The number 1 is called the “multiplicative identity” because it keeps numbers the same.
The Zero Property says that any number multiplied by 0 equals 0.
Multiplying by 0 “wipes out” the other number, leaving the product as 0.