Properties of Operations

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

What is the result of 4(x - 5)?

Back

4(x - 5) = 4x - 20.

Front

What does the Associative Property of Addition state?

Back

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

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, 5 x 6 = 6 x 5.

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that any number plus zero equals the number itself. For example, a + 0 = a.

Front

What is the result of 5(3 + 6)?

Back

5(3 + 6) = 5*3 + 5*6 = 15 + 30 = 45.

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 x b) x c = a x (b x c).

Front

What is the result of 5 + (3 + 2)?

Back

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

Front

If Paul rode his bike 6 miles on Tuesday and rode two times farther on Thursday, how many miles did he ride on Thursday?

Back

Paul rode 12 miles on Thursday.

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, a + b = b + a.