commutative and associative properties

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 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, 4 x 5 = 5 x 4.

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped does not change the sum. For example, (1 + 2) + 3 = 1 + (2 + 3).

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped does not change the product. For example, (2 x 3) x 4 = 2 x (3 x 4).

Front

Provide an example of the Commutative Property of Addition.

Back

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

Front

Provide an example of the Commutative Property of Multiplication.

Back

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

Front

Provide an example of the Associative Property of Addition.

Back

An example is: (5 + 1) + 4 = 5 + (1 + 4).

Front

Provide an example of the Associative Property of Multiplication.

Back

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

Front

What does the Commutative Property imply about the order of operations?

Back

The Commutative Property implies that the order in which you add or multiply numbers does not affect the result.

Front

What is the significance of the Associative Property in calculations?

Back

The Associative Property allows you to regroup numbers in addition or multiplication to make calculations easier.