Commutative and Associative property

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 their sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that the order in which two numbers are added does not change the sum. For example, 3 + 5 = 5 + 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 their product. For example, (2 x 3) x 4 = 2 x (3 x 4).

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, 4 x 6 = 6 x 4.

Front

Give an example of the Associative Property of Addition.

Back

An example is (1 + 2) + 3 = 1 + (2 + 3), both equal 6.

Front

Give an example of the Commutative Property of Addition.

Back

An example is 7 + 2 = 2 + 7, both equal 9.

Front

Give an example of the Associative Property of Multiplication.

Back

An example is (2 x 3) x 5 = 2 x (3 x 5), both equal 30.

Front

Give an example of the Commutative Property of Multiplication.

Back

An example is 5 x 9 = 9 x 5, both equal 45.

Front

Is 3 + (4 + 5) = (3 + 4) + 5 an example of the Associative Property?

Back

Yes, it shows that grouping does not affect the sum.

Front

Is 8 x (2 x 3) = (8 x 2) x 3 an example of the Associative Property?

Back

Yes, it shows that grouping does not affect the product.