Properties of Operations

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 the product. For example, (2 x 3) x 4 = 2 x (3 x 4).

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that adding zero to any number does not change the value of that number. For example, 5 + 0 = 5.

Front

What is the Inverse Property of Addition?

Back

The Inverse Property of Addition states that for every number, there is an additive inverse (negative) that, when added to the original number, results in zero. For example, 5 + (-5) = 0.

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that multiplying any number by one does not change the value of that number. For example, 1 x 12 = 12.

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that the order in which two numbers are multiplied does not change the product. For example, 9 x 2 = 2 x 9.

Front

What is the Zero Property of Multiplication?

Back

The Zero Property of Multiplication states that any number multiplied by zero equals zero. For example, 7 x 0 = 0.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication over each addend.

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 the sum. For example, (1 + 2) + 3 = 1 + (2 + 3).

Front

What is the Additive Inverse Property?

Back

The Additive Inverse Property states that for every number, there is an additive inverse that, when added to the original number, results in zero. For example, -3 is the additive inverse of 3.

Front

What is the Multiplicative Inverse Property?

Back

The Multiplicative Inverse Property states that for every number (except zero), there is a reciprocal that, when multiplied by the original number, results in one. For example, the multiplicative inverse of 4 is 1/4.