Properties of Equations

Front

What is the Commutative Property?

Back

The Commutative Property states that the order of numbers does not change the sum or product. For example, A + B = B + A and A × B = B × A.

Front

What is the Associative Property?

Back

The Associative Property states that the way numbers are grouped does not change their sum or product. For example, (A + B) + C = A + (B + C) and (A × B) × C = A × (B × C).

Front

What is the Distributive Property?

Back

The Distributive Property states that a number multiplied by a sum is equal to the sum of the individual products. For example, A × (B + C) = A × B + A × C.

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 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 number. For example, A × 1 = A.

Front

What is the Inverse Property of Addition?

Back

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

Front

What is the Inverse Property of Multiplication?

Back

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

Front

Provide an example of the Commutative Property of Addition.

Back

Example: 3 + 5 = 5 + 3.

Front

Provide an example of the Associative Property of Multiplication.

Back

Example: (2 × 3) × 4 = 2 × (3 × 4).

Front

What does the Zero Property of Multiplication state?

Back

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