Properties of Multiplication

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, a x b = b x a.

Front

What does the Associative Property of Multiplication state?

Back

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

Front

What is the Zero Property of Multiplication?

Back

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

Front

Which operation does NOT demonstrate the Zero Property of Multiplication?

Back

An example that does NOT demonstrate the Zero Property is 6 + 0 = 6, as it involves addition, not multiplication.

Front

How can you illustrate the Associative Property of Multiplication with numbers?

Back

You can illustrate it with an example like 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 identity property of multiplication?

Back

The Identity Property of Multiplication states that any number multiplied by one remains unchanged. For example, a x 1 = a.

Front

How does the Commutative Property apply to the multiplication of three numbers?

Back

The Commutative Property applies to three numbers by allowing any order of multiplication, such as a x b x c = c x b x a.

Front

Can you provide an example of the Associative Property using three different numbers?

Back

An example is (2 x 3) x 4 = 2 x (3 x 4), both equal 24.

Front

What is the difference between the Commutative and Associative Properties?

Back

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