Associative, Commutative, & Distributive Property

Front

What is the Associative Property?

Back

The Associative Property states that the way numbers are grouped in addition or multiplication does not change their sum or product. For example, (a + b) + c = a + (b + c) and (a × b) × c = a × (b × c).

Front

What is the Commutative Property?

Back

The Commutative Property states that the order of numbers does not change their sum or product. For example, a + b = b + a and a × b = b × a.

Front

What is the Distributive Property?

Back

The Distributive Property states that a number multiplied by a sum is equal to the sum of the individual products. For example, a(b + c) = ab + ac.

Front

Give an example of the Associative Property in addition.

Back

(3 + 5) + 2 = 3 + (5 + 2) = 10.

Front

Give an example of the Commutative Property in multiplication.

Back

4 × 6 = 6 × 4 = 24.

Front

What is an equivalent expression for 12x + (6x + 2)?

Back

(12x + 6x) + 2.

Front

Which equation shows the Distributive Property?

Back

8(10 - 2) = 8(10) - 8(2).

Front

True or False? The Associative Property can be used with subtraction.

Back

False, you cannot change the grouping in subtraction problems.

Front

True or False? The Commutative Property can be used with division.

Back

False, you cannot change the order because it gives you a different answer.

Front

What is an example of the Distributive Property?

Back

3(4 + 5) = 3 × 4 + 3 × 5.