Properties of Operations

Front

What is the Multiplicative Property of Zero?

Back

Any number multiplied by zero equals zero. For example, 5 * 0 = 0.

Front

What does the Commutative Property of Addition state?

Back

The order in which two numbers are added does not change the sum. For example, 10 + 4 = 4 + 10.

Front

What is the Distributive Property?

Back

It states that a number multiplied by a sum is equal to the sum of the individual products. For example, 5(8 + 7) = (5 * 8) + (5 * 7).

Front

What does the Associative Property of Addition state?

Back

The way in which numbers are grouped when adding does not change the sum. For example, 4 + 3 + (2 + 5) = 4 + (3 + 2) + 5.

Front

What is the Identity Property of Multiplication?

Back

Any number multiplied by one equals the number itself. For example, 12 x 1 = 12.

Front

What is the Commutative Property of Multiplication?

Back

The order in which two numbers are multiplied does not change the product. For example, 3 * 4 = 4 * 3.

Front

What does the Associative Property of Multiplication state?

Back

The way in which numbers are grouped when multiplying does not change the product. For example, (2 * 3) * 4 = 2 * (3 * 4).

Front

What is the Additive Identity Property?

Back

Any number plus zero equals the number itself. For example, 7 + 0 = 7.

Front

What is the Inverse Property of Addition?

Back

For every number, there is an opposite number that, when added together, equals zero. For example, 5 + (-5) = 0.

Front

What is the Inverse Property of Multiplication?

Back

For every non-zero number, there is a reciprocal that, when multiplied together, equals one. For example, 4 * (1/4) = 1.