Properties of multiplication
Remembering these properties will help you solve problems by using mental math. It will also make understanding math easier!
Zero Property: 6 x 0 =0
( When any number is multiplied with zero, the answer is zero.)
Identity Property: 7 x 1 = 7
( Any number multiplied by 1 will give you the original number)
Commutative Property: 2 x 7 = 7 x 2
(The order of the numbers will NOT change the answer to the problem.)
Associative Property: 3 x (4 x 5) = (3 x 4) x 5
(The way that numbers are grouped will not change the answer to a problem.)
Distributive property (over addition) a x (b+c) = (a x b) + (a x c)
(Multiplying the sum (or difference) by a number is the same as multiplying each number in the sum (or difference) by the number and adding (or subtracting) the product.)