Properties of Multiplication

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, 5 x 1 = 5.

Front

Provide an example of the Identity Property of Multiplication.

Back

An example is 2 x 1 = 2.

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

Provide an example of the Associative Property of Multiplication.

Back

An example is 3 x (2 x 7) = (3 x 2) x 7.

Front

Rewrite (4 x 5) x 2 using the Associative Property.

Back

(4 x 5) x 2 can be rewritten as 4 x (5 x 2).

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, 3 x 4 = 4 x 3.

Front

Provide an example of the Commutative Property of Multiplication.

Back

An example is 17 x 113 = 113 x 17.

Front

What is the difference between the Identity Property and the Commutative Property of Multiplication?

Back

The Identity Property involves multiplying by 1, which does not change the number, while the Commutative Property involves changing the order of the numbers being multiplied.

Front

How does the Associative Property help in simplifying multiplication problems?

Back

The Associative Property allows you to regroup numbers in a multiplication problem, making it easier to compute the product.

Front

Can the properties of multiplication be applied to more than two numbers?

Back

Yes, the properties of multiplication, such as the Associative and Commutative Properties, can be applied to any number of factors.