Properties of Multiplication

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property states that changing the order of the factors does not change the product. For example, 5 x 6 = 6 x 5.

Front

What is the Associative Property of Multiplication?

Back

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

Front

What is the Distributive Property of Multiplication?

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, 3 x (4 + 2) = (3 x 4) + (3 x 2).

Front

Give an example of the Commutative Property of Multiplication.

Back

An example is: 7 x 2 = 2 x 7 = 14.

Front

Give an example of the Associative Property of Multiplication.

Back

An example is: (1 x 2) x 3 = 1 x (2 x 3) = 6.

Front

Give an example of the Distributive Property of Multiplication.

Back

An example is: 5 x (3 + 2) = (5 x 3) + (5 x 2) = 15 + 10 = 25.

Front

What does it mean to 'flip flop' factors in multiplication?

Back

It means to change the order of the factors, which is allowed by the Commutative Property.

Front

How does the Associative Property help in multiplication?

Back

It allows you to group numbers in a way that makes calculations easier without changing the product.

Front

What is the result of 4 x 3 x 2 using the Associative Property?

Back

(4 x 3) x 2 = 12 x 2 = 24.

Front

What is the result of 6 x (2 + 3) using the Distributive Property?

Back

6 x (2 + 3) = (6 x 2) + (6 x 3) = 12 + 18 = 30.