There are 5 major properties of multiplication
Commutative Property of Multiplication
When two numbers are multiplied together, the result is the same regardless of the order they are in.
Example:
6 x 5 = 30
5 x 6 = 30
Associative Property of Multiplication
When 3 or more numbers are multiplied together, the result is the same regardless of the way in which you group the factors.
Example:
3 x (6 x 7) = 126
(3 x 6) x 7 = 126
Multiplicative Identity Property
Any number when multiplied by 1 results in the original number.
Example:
6 x 1 = 6
45 x 1 = 45
Multiplicative Inverse Property
For any number (fraction) a/b where a ? 0 and b ? 0, there exists exactly one number b/a such that the product of a/b x b/a = 1.
Example:
In this case we say that 3/2 is the multiplicative inverse of 2/3.
Distributive Property
The sum or difference of two numbers multiplied by a third number is equal to the third number multiplied by each of the two numbers followed by the addition or subtraction.
Example:
5 x (4 + 3) = 35
(5 x 4) + (5 x 3) = 35
2 x (5 - 2) = 6
(2 x 5) - (2 x 2) = 6