Math Properties

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) and (a × b) × c = a × (b × c).

Front

Provide an example of the Associative Property.

Back

(5 + 3) + 6 = 5 + (3 + 6) or (2 × 3) × 4 = 2 × (3 × 4).

Front

What is the Identity Property?

Back

The Identity Property states that the sum of any number and zero is the number itself, and the product of any number and one is the number itself. For example, a + 0 = a and a × 1 = a.

Front

Provide an example of the Identity Property.

Back

12 + 0 = 12 or 7 × 1 = 7.

Front

What is the Inverse Property of Addition?

Back

The Inverse Property of Addition states that for every number a, there exists a number -a such that a + (-a) = 0.

Front

Provide an example of the Inverse Property of Addition.

Back

5 + (-5) = 0.

Front

What is the Inverse Property of Multiplication?

Back

The Inverse Property of Multiplication states that for every number a (except 0), there exists a number 1/a such that a × (1/a) = 1.

Front

Provide an example of the Inverse Property of Multiplication.

Back

12 × (1/12) = 1.

Front

What is the Commutative Property?

Back

The Commutative Property states that the order in which two numbers are added or multiplied does not change their sum or product. For example, a + b = b + a and a × b = b × a.

Front

Provide an example of the Commutative Property.

Back

5 + 6 = 6 + 5 or 3 × 4 = 4 × 3.