Commutative/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 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 Addition?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, 3 + 5 = 5 + 3.

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 6 = 6 x 4.

Front

Give an example of the Associative Property of Addition.

Back

(5 + 7) + 2 = 5 + (7 + 2).

Front

Give an example of the Associative Property of Multiplication.

Back

(3 x 4) x 2 = 3 x (4 x 2).

Front

What does it mean to 'move the parentheses' in a mathematical expression?

Back

Moving the parentheses means changing the grouping of numbers in an expression, which can affect the order of operations but not the result if the property is associative.

Front

How does the Associative Property help in calculations?

Back

The Associative Property allows you to group numbers in a way that makes calculations easier, especially with larger numbers.

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.

Front

Is (10 + 5) + 15 = 10 + (5 + 15) an example of the Associative Property?

Back

Yes, this is an example of the Associative Property of Addition.