Properties of Equality

Front

What is the Addition Property of Equality?

Back

If a = b, then a + c = b + c.

Front

What does the Associative Property of Multiplication state?

Back

The way in which numbers are grouped in multiplication does not change the product. Example: 7(8x9) = 9(8x7).

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.

Front

What is the Identity Property of Multiplication?

Back

Any number multiplied by one equals the number itself. Example: 5 x 1 = 5.

Front

What is the Commutative Property of Multiplication?

Back

The order in which two numbers are multiplied does not change the product. Example: 4 x 5 = 5 x 4.

Front

What is the Commutative Property of Addition?

Back

The order in which two numbers are added does not change the sum. Example: 3 + 4 = 4 + 3.

Front

What is the Associative Property of Addition?

Back

The way in which numbers are grouped in addition does not change the sum. Example: (2 + 3) + 4 = 2 + (3 + 4).

Front

What is the Multiplicative Inverse?

Back

The multiplicative inverse of a number is 1 divided by that number. Example: The multiplicative inverse of 5 is 1/5.

Front

What is the Zero Property of Multiplication?

Back

Any number multiplied by zero equals zero. Example: 7 x 0 = 0.

Front

What is the definition of the Distributive Property?

Back

It states that a(b + c) = ab + ac, allowing distribution of multiplication over addition.