Properties of Operations

Front

What is the Commutative Property?

Back

The Commutative Property states that the order in which you add or multiply numbers does not change the sum or product. For example, 3 + 5 = 5 + 3 and 4 x 2 = 2 x 4.

Front

What is the Associative Property?

Back

The Associative Property states that the way in which numbers are grouped when adding or multiplying does not change the sum or product. For example, (2 + 3) + 4 = 2 + (3 + 4) and (2 x 3) x 4 = 2 x (3 x 4).

Front

What is the Distributive Property?

Back

The Distributive Property states that multiplying a number by a sum is the same as multiplying each addend separately and then adding the products. For example, 4(5 + 6) = 4(5) + 4(6).

Front

What is an example of the Commutative Property of Addition?

Back

An example is: 7 + 2 = 2 + 7.

Front

What is an example of the Commutative Property of Multiplication?

Back

An example is: 3 x 4 = 4 x 3.

Front

What is an example of the Associative Property of Addition?

Back

An example is: (1 + 2) + 3 = 1 + (2 + 3).

Front

What is an example of the Associative Property of Multiplication?

Back

An example is: (2 x 3) x 4 = 2 x (3 x 4).

Front

What is an example of the Distributive Property?

Back

An example is: 5(2 + 3) = 5(2) + 5(3).

Front

What does the Inverse Property state for Addition?

Back

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

Front

What does the Inverse Property state for Multiplication?

Back

The Inverse Property for Multiplication states that for every number, there is another number that, when multiplied together, equals one. For example, 4 x (1/4) = 1.