Distributive/Commutative/Associative Properties

Front

What is the Commutative Property?

Back

The Commutative Property states that changing the order of numbers in addition or multiplication does not change the result. For example, 3 + 4 = 4 + 3 and 2 x 5 = 5 x 2.

Front

Which operation does the Commutative Property apply to?

Back

The Commutative Property applies to addition and multiplication.

Front

What is the Associative Property?

Back

The Associative Property states that the way numbers are grouped in addition or multiplication does not change the result. For example, (2 + 3) + 4 = 2 + (3 + 4) and (1 x 2) x 3 = 1 x (2 x 3).

Front

What is the Distributive Property?

Back

The Distributive Property states that a number multiplied by a sum is the same as multiplying each addend by the number and then adding the products. For example, a(b + c) = ab + ac.

Front

Give an example of the Distributive Property.

Back

For example, 2(3 + 4) = 2*3 + 2*4 = 6 + 8 = 14.

Front

What does it mean if an equation shows the Commutative Property?

Back

It means that the order of the numbers can be changed without affecting the outcome.

Front

What is an example of the Associative Property in multiplication?

Back

For example, (2 x 3) x 4 = 2 x (3 x 4). Both equal 24.

Front

What is the result of 4 + (5 + 6) using the Associative Property?

Back

The result is the same as (4 + 5) + 6, which equals 15.

Front

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

Back

The result is the same as (3 x 2) x 4, which equals 24.

Front

If 5 + 7 = 7 + 5, which property is being used?

Back

The Commutative Property.