Math Properties

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, ⅓ + ¼ = ¼ + ⅓.

The Associative Property of Addition states that the way in which numbers are grouped does not change their sum. For example, (x + y) + z = x + (y + z).

The Distributive Property states that a number multiplied by a sum is equal to the sum of the individual products. For example, x(y + z) = xy + xz.

An example is 150 + 75 = 75 + 150.

An example is (30 + 20) + 60 = 30 + (20 + 60).

This equation demonstrates the Commutative Property of Multiplication.

This equation demonstrates the Associative Property of Addition.

The Distributive Property allows you to multiply a single term by each term inside a set of parentheses.

An example is 3(x + 4) = 3x + 12.

The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, 4 x 5 = 5 x 4.