Properties of Operations

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped in multiplication does not change the product. For example, (2 x 3) x 4 = 2 x (3 x 4).

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that any number multiplied by 1 remains unchanged. For example, 7 x 1 = 7.

Front

What is the Distributive Property of Multiplication?

Back

The Distributive Property of Multiplication states that a number multiplied by a sum is equal to the sum of the individual products. For example, a(b + c) = ab + ac.

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped in addition does not change the sum. For example, (1 + 2) + 3 = 1 + (2 + 3).

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that the order in which numbers are added does not change the sum. For example, 4 + 5 = 5 + 4.

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that the order in which numbers are multiplied does not change the product. For example, 3 x 4 = 4 x 3.

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that any number added to 0 remains unchanged. For example, 5 + 0 = 5.

Front

Provide an example of the Associative Property of Multiplication.

Back

(2 x 3) x 4 = 2 x (3 x 4) = 24.

Front

Provide an example of the Distributive Property of Multiplication.

Back

3(4 + 5) = 3 x 4 + 3 x 5 = 12 + 15 = 27.

Front

Provide an example of the Identity Property of Multiplication.

Back

8 x 1 = 8.