Properties of Operations

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way numbers are grouped in addition does not change their sum. For example, (a + b) + c = a + (b + c).

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way numbers are grouped in multiplication does not change their product. For example, (a x b) x c = a x (b x c).

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, 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. For example, a x b = b x a.

Front

What is an example of the Distributive Property?

Back

An example is 3(4 + 5) = 3(4) + 3(5), which simplifies to 12 + 15 = 27.

Front

What is an example of the Associative Property of Addition?

Back

An example is (2 + 3) + 4 = 2 + (3 + 4), which simplifies to 5 + 4 = 9.

Front

What is an example of the Associative Property of Multiplication?

Back

An example is (2 x 3) x 4 = 2 x (3 x 4), which simplifies to 6 x 4 = 24.

Front

What is an example of the Commutative Property of Addition?

Back

An example is 5 + 7 = 7 + 5, both equal to 12.

Front

What is an example of the Commutative Property of Multiplication?

Back

An example is 4 x 6 = 6 x 4, both equal to 24.