Properties of Real Numbers

Front

What is the Associative Property of Addition?

Back

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

Front

Provide an example of the Associative Property of Addition.

Back

Example: 7 + (8 + 9) = (7 + 8) + 9 = 24.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Provide an example of the Distributive Property.

Back

Example: 5(3 + 9) = 5(3) + 5(9) = 15 + 45 = 60.

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 value of that number. For example, a + 0 = a.

Front

Provide an example of the Identity Property of Addition.

Back

Example: 9 + 0 = 9.

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that multiplying any number by one does not change the value of that number. For example, a × 1 = a.

Front

Provide an example of the Identity Property of Multiplication.

Back

Example: 5 × 1 = 5.

Front

What is the Additive Inverse Property?

Back

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

Front

Provide an example of the Additive Inverse Property.

Back

Example: 4 + (-4) = 0.