Math Properties

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

An example of the Commutative Property of Addition is: 6 + 4 = 4 + 6.

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

The simplified expression is 9x + 6.

The Distributive Property is significant because it allows for the simplification of expressions and the solving of equations by distributing a multiplier across terms.

An example of the Distributive Property is: 2(9 + 6) = 2(9) + 2(6).

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

This equation illustrates the Distributive Property.

The expression ab = ba does NOT show the Commutative Property of Addition, as it refers to multiplication.

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