Math Properties

Front

What is the Commutative Property of Addition?

Back

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

Front

Provide an example of the Commutative Property of Addition.

Back

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

Front

What is the Distributive Property?

Back

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.

Front

Simplify the expression: 3(3x + 2).

Back

The simplified expression is 9x + 6.

Front

What is the significance of the Distributive Property in algebra?

Back

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

Front

Provide an example of the Distributive Property in use.

Back

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

Front

What is the Commutative Property of Multiplication?

Back

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

Front

Which property is illustrated by the equation: 6(9 + 4) = 54 + 24?

Back

This equation illustrates the Distributive Property.

Front

What does NOT show the Commutative Property of Addition?

Back

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

Front

What is the Associative Property of Addition?

Back

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).