Properties of Operations

Front

What is the Distributive Property of Multiplication?

Back

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

Front

Provide an example of the Distributive Property of Multiplication.

Back

For example, 3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.

Front

What is the Associative Property of Multiplication?

Back

The Associative Property states that (ab)c = a(bc).

Front

Provide an example of the Associative Property of Multiplication.

Back

For example, (2*3)*4 = 2*(3*4) = 6*4 = 24.

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property states that ab = ba.

Front

Provide an example of the Commutative Property of Multiplication.

Back

For example, 5*2 = 2*5 = 10.

Front

What is the Associative Property of Addition?

Back

The Associative Property states that a + (b + c) = (a + b) + c.

Front

Provide an example of the Associative Property of Addition.

Back

For example, 1 + (2 + 3) = (1 + 2) + 3 = 6.

Front

What is the Identity Property of Multiplication?

Back

The Identity Property states that any number multiplied by 1 remains unchanged.

Front

Provide an example of the Identity Property of Multiplication.

Back

For example, 7 x 1 = 7.