Grade 3: Properties of Multiplication

Front

What is the Distributive Property of Multiplication?

Back

The Distributive Property states that a number multiplied by a sum is equal to the sum of the products of that number and each addend. For example, 4 x (6 + 2) = 4 x 6 + 4 x 2.

Front

What is the Identity Property of Multiplication?

Back

The Identity Property states that any number multiplied by 1 remains unchanged. For example, 1 x 8 = 8.

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property states that changing the order of the numbers in a multiplication equation does not change the product. For example, 4 x 5 = 5 x 4.

Front

What is the Associative Property of Multiplication?

Back

The Associative Property 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 Zero Property of Multiplication?

Back

The Zero Property states that any number multiplied by 0 equals 0. For example, 7 x 0 = 0.

Front

Give an example of the Distributive Property.

Back

4 x (3 + 5) = 4 x 3 + 4 x 5.

Front

What does the Commutative Property allow you to do?

Back

It allows you to change the order of the numbers in a multiplication equation without changing the result.

Front

What is an example of the Identity Property?

Back

An example is 1 x 9 = 9.

Front

How does the Associative Property work in multiplication?

Back

It allows you to group numbers in different ways. For example, (3 x 2) x 5 = 3 x (2 x 5).

Front

What is the result of multiplying any number by 0?

Back

The result is always 0.