Properties of Operations

Front

What is the Distributive Property of Multiplication?

Back

The Distributive Property of Multiplication states that a(b + c) = ab + ac.

Front

Provide an example of the Distributive Property of Multiplication.

Back

An example is q(r + s) = qr + qs.

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, i.e., a x b = b x a.

Front

Provide an example of the Commutative Property of Multiplication.

Back

An example is 5 x 6 = 6 x 5.

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, i.e., (a + b) + c = a + (b + c).

Front

Provide an example of the Associative Property of Addition.

Back

An example is a + (b + c) = (a + b) + c.

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that any number multiplied by 1 remains unchanged, i.e., a x 1 = a.

Front

Provide an example of the Identity Property of Multiplication.

Back

An example is 12 x 1 = 12.

Front

What is the Distributive Property of Multiplication in terms of variables?

Back

The Distributive Property can also be expressed as a(b + c) = ab + ac.

Front

Provide an example of the Distributive Property of Multiplication with variables.

Back

An example is 3(5 + y) = 15 + 3y.