Commutative and Associative Property

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that when adding three or more numbers, the way in which the numbers are grouped does not change the 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, 4 + 5 = 5 + 4.

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that when multiplying three or more numbers, the way in which the numbers are grouped does not change the 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, 6 x 7 = 7 x 6.

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 8 + 2 = 2 + 8, both equal 10.

Front

Give an example of the Associative Property of Multiplication.

Back

An example is (3 x 4) x 2 = 3 x (4 x 2), both equal 24.

Front

Give an example of the Commutative Property of Multiplication.

Back

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

Front

What does it mean to 'move the parentheses' in multiplication?

Back

It means you can change the grouping of numbers in multiplication without changing the result, as shown in the Associative Property.

Front

What is the result of (5 + 3) + 2?

Back

The result is 10, and it can also be calculated as 5 + (3 + 2).