Multiplication Properties: Commutative Associative Distributive

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, a × b = b × a.

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, (a × b) × c = a × (b × c).

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, a × (b + c) = a × b + a × c.

Front

Provide an example of the commutative property using numbers.

Back

For example, 3 × 4 = 12 and 4 × 3 = 12.

Front

Provide an example of the associative property using numbers.

Back

For example, (2 × 3) × 4 = 6 × 4 = 24 and 2 × (3 × 4) = 2 × 12 = 24.

Front

Provide an example of the distributive property using numbers.

Back

For example, 2 × (3 + 5) = 2 × 3 + 2 × 5 = 6 + 10 = 16.

Front

What is the identity property of multiplication?

Back

The identity property states that any number multiplied by 1 remains unchanged. For example, a × 1 = a.

Front

What is the zero property of multiplication?

Back

The zero property states that any number multiplied by 0 equals 0. For example, a × 0 = 0.

Front

How can you identify the commutative property in an equation?

Back

You can identify the commutative property if the order of the numbers is switched but the product remains the same.

Front

How can you identify the associative property in an equation?

Back

You can identify the associative property if the grouping of the numbers changes but the product remains the same.