Properties of Addition and Multiplication

Front

What is the Associative Property of Addition?

Back

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

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that the order in which two numbers are added 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 the order in which two numbers are multiplied does not change the product. For example, a x b = b x a.

Front

What is the Associative Property of Multiplication?

Back

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

Front

What is the Distributive Property?

Back

The Distributive Property states that multiplying a number by a sum is the same as multiplying each addend by the number and then adding the products. For example, a x (b + c) = (a x b) + (a x c).

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What is the Multiplication Property of Zero?

Back

The Multiplication Property of Zero states that any number multiplied by zero equals zero. For example, a x 0 = 0.

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What is the Addition Property of Zero?

Back

The Addition Property of Zero states that any number plus zero equals the number itself. For example, a + 0 = a.

Front

Provide an example of the Associative Property of Addition.

Back

Example: (2 + 3) + 4 = 2 + (3 + 4) = 9.

Front

Provide an example of the Commutative Property of Multiplication.

Back

Example: 5 x 6 = 6 x 5 = 30.

Front

Provide an example of the Distributive Property.

Back

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