Properties of Numbers and Equalities

Front

What is the Addition Property of Equality?

Back

If you add the same number to both sides of an equation, the two sides remain equal.

Front

What is the Identity Property of Addition?

Back

The sum of any number and zero is the number itself (e.g., 4 + 0 = 4).

Front

What is the Identity Property of Multiplication?

Back

The product of any number and one is the number itself (e.g., 8 x 1 = 8).

Front

What is the Reflexive Property of Equality?

Back

Any quantity is equal to itself (e.g., a = a).

Front

What is the Additive Inverse Property?

Back

For any number a, there exists a number -a such that a + (-a) = 0.

Front

What is the Commutative Property of Addition?

Back

Changing the order of the addends does not change the sum (e.g., a + b = b + a).

Front

What is the Commutative Property of Multiplication?

Back

Changing the order of the factors does not change the product (e.g., a x b = b x a).

Front

What is the Associative Property of Addition?

Back

The way in which numbers are grouped does not change their sum (e.g., (a + b) + c = a + (b + c)).

Front

What is the Associative Property of Multiplication?

Back

The way in which numbers are grouped does not change their product (e.g., (a x b) x c = a x (b x c)).

Front

What is the Distributive Property?

Back

a(b + c) = ab + ac; it allows you to multiply a single term by two or more terms inside a set of parentheses.