PROPERTIES OF MULTIPLICATION

Front

What is the distributive property of multiplication?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

Front

Give an example of the distributive property using the numbers 4 and 7.

Back

4 x 7 can be expressed as (4 x 3) + (4 x 4).

Front

What does the commutative property of multiplication state?

Back

The commutative property states that changing the order of the numbers in a multiplication equation does not change the product.

Front

Provide an example of the commutative property using the numbers 2 and 3.

Back

2 x 3 = 3 x 2.

Front

What is the identity property of multiplication?

Back

The identity property states that any number multiplied by 1 is that number.

Front

Give an example of the identity property using the number 5.

Back

5 x 1 = 5.

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.

Front

Provide an example of the associative property using the numbers 2, 3, and 4.

Back

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

Front

Which equation shows the associative property?

Back

3 x (2 x 6) = (3 x 2) x 6.

Front

What is an example of the commutative property?

Back

6 x 2 = 2 x 6.