Real Number Properties

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, 3 x 4 = 4 x 3.

Front

What is the Multiplicative Property of Zero?

Back

The Multiplicative Property of Zero states that any number multiplied by zero equals zero. For example, 5 x 0 = 0.

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 over each addend.

Front

What is the Multiplicative Inverse Property?

Back

The Multiplicative Inverse Property states that for any non-zero number a, there exists a number 1/a such that a x (1/a) = 1.

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

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 x 1 = a.

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 the sum. For example, (a + b) + c = a + (b + c).

Front

What is the Associative Property of Multiplication?

Back

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

Front

What is the Zero Product Property?

Back

The Zero Product Property states that if the product of two numbers is zero, then at least one of the numbers must be zero. For example, if a x b = 0, then a = 0 or b = 0.

Front

What is the definition of a real number?

Back

A real number is any number that can be found on the number line, including both rational and irrational numbers.