Using Properties to Simplify Expressions

Front

What is the Additive Inverse property?

Back

The Additive Inverse property states that for any number a, there exists a number -a such that a + (-a) = 0.

Front

What is the Associative Property of Addition?

Back

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

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

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, a × b = b × a.

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped in multiplication does not change their product. For example, (a × b) × c = a × (b × c).

Front

What is the Multiplicative Identity Property?

Back

The Multiplicative Identity Property states that any number multiplied by 1 is the number itself. For example, a × 1 = a.

Front

What is the Additive Identity Property?

Back

The Additive Identity Property states that any number plus 0 is the number itself. For example, a + 0 = a.

Front

Back

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

What is the purpose of simplifying expressions?

Back

Simplifying expressions makes them easier to work with and understand, allowing for quicker calculations and clearer communication of mathematical ideas.