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, (1 x 5) x 6 = 1 x (5 x 6).

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, 3 x 5 = 5 x 3.

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, (4 + 5) + 3 = 4 + (5 + 3).

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, 2 + 3 = 3 + 2.

Front

What is the Distributive Property?

Back

The Distributive Property states that a number multiplied by a sum is equal to the sum of the individual products. For example, 4(5 + 6) = 4(5) + 4(6).

Front

What is an example of the Associative Property of Addition?

Back

An example is (4 + 5) + 6 = 4 + (5 + 6).

Front

What is an example of the Commutative Property of Multiplication?

Back

An example is 3 x 5 x 6 = 5 x 6 x 3.

Front

What does the Distributive Property allow you to do?

Back

The Distributive Property allows you to multiply a single term by each term in a sum or difference.

Front

What is the Inverse Property of Addition?

Back

The Inverse Property of Addition states that for every number, there is an opposite number that, when added together, equals zero. For example, 5 + (-5) = 0.

Front

What is the difference between the Associative and Commutative Properties?

Back

The Associative Property deals with grouping of numbers, while the Commutative Property deals with the order of numbers.