Properties Practice

Front

What is the Distributive Property?

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

Apply the Distributive Property to 4(2 + 3). What is the result?

Back

4(2) + 4(3) = 8 + 12 = 20.

Front

What is the Associative Property?

Back

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

Front

Apply the Associative Property to (5 + 6) + 7. What is the result?

Back

5 + (6 + 7) = 5 + 13 = 18.

Front

Which property allows you to change the order of numbers in addition?

Back

The Commutative Property allows you to change the order of numbers. For example, a + b = b + a.

Front

Apply the Commutative Property to 5 + (3 + 2). What is the result?

Back

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

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that adding zero to any number does not change the number. For example, a + 0 = a.

Front

What is the result of applying the Identity Property to 7 + 0?

Back

7 + 0 = 7.

Front

What is the Associative Property of Multiplication?

Back

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

Front

Apply the Associative Property to (2 × 3) × 4. What is the result?

Back

2 × (3 × 4) = 2 × 12 = 24.