Properties of Numbers

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 Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped does not change their sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

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.

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that any number plus zero equals that number. For example, 5 + 0 = 5.

Front

What is the Substitution Property?

Back

The Substitution Property states that if two values are equal, one can be substituted for the other in any expression. For example, if x = 5, then 8x = 8(5).

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped does not change their product. For example, (2 x 3) x 4 = 2 x (3 x 4).

Front

What is the Zero Property of Multiplication?

Back

The Zero Property of Multiplication states that any number multiplied by zero equals zero. For example, 7 x 0 = 0.

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, 2 + 3 = 3 + 2.

Front

What is the Multiplicative Inverse Property?

Back

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

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any quantity is equal to itself. For example, a = a.