Commutative/Associative Property

Front

What property allows this statement to be true? (A + B) + C = A + (B + C)

Back

Associative Property

Front

What is the Associative Property of Addition? Give an example.

Back

The Associative Property of Addition states that the way in which numbers are grouped does not change their sum. Example: 5 + (8 + 14) = (5 + 8) + 14.

Front

Which property is demonstrated by the equation a + (b + c) = (a + b) + c?

Back

Associative Property

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.

Front

Provide an example of the Associative Property of Addition.

Back

(12 + 8) + 3 = 12 + (8 + 3)

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

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. Example: A + B = B + A.

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. Example: A x B = B x A.

Front

What is an example of the Associative Property of Multiplication?

Back

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

Front

If a + b = c, what can you say about a + (b + d)?

Back

a + (b + d) = (a + b) + d, demonstrating the Associative Property.