Properties of Math

Commutative Property of Addition

The commutative property of addition states that "commutative" means "flip around", which means the addition problem gets "flipped around".

Commutative Property of Multiplication

The commutative property of multiplication states that the multiplication problem gets "flipped around", this also happens with the commutative property of addition.

Associative Property of Addition

The associative property of addition states that you can add regardless of how the numbers are grouped.

Associative Property of Multiplication

The associative property of multiplication states that you can multiply regardless of how the numbers are grouped.

Distributive Property

The distributive property states that you can multiply a sum by multiplying each addend separately.

Zero Property of Multiplication

The zero property of multiplication states that the product of any number and zero is zero.

Multiplicative Inverse Property

The multiplicative inverse property states that a number is the denominator and another number is the numerator.

Additive Inverse Property

The additive inverse property states that number a is the number that, when added to a, yields zero.

Multiplicative Identity Property

The multiplicative identity property states that any time you multiply a number by 1, the result, or product, is that original number.

Additive Identity Property

The additive identity property states that if you add a real number to zero or add zero to a real number, then you get the real same number back.