Properties of Addition and Multiplication

Front

What is the Addition Property of Zero?

Back

The Addition Property of Zero states that when you add zero to any number, the result is that number. For example, 27 + 0 = 27.

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, 4 + 9 = 9 + 4.

Front

What is the Multiplication Property of Zero?

Back

The Multiplication Property of Zero states that when you multiply any number by zero, the result is zero. For example, 5 x 0 = 0.

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, 17 x 33 = 33 x 17.

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, (6 + 2) + 8 = 6 + (2 + 8).

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.

Front

What is the difference between the Commutative and Associative Properties?

Back

The Commutative Property involves changing the order of numbers, while the Associative Property involves changing the grouping of numbers.

Front

Give an example of the Addition Property of Zero.

Back

An example is: 15 + 0 = 15.

Front

Give an example of the Commutative Property of Multiplication.

Back

An example is: 3 x 4 = 4 x 3.

Front

What does it mean to say that addition is commutative?

Back

It means that the order in which you add numbers does not affect the sum.