Properties of Equality

Front

What is the Addition Property of Equality (APE)?

Back

For all real numbers a, b, and c, a = b if and only if a + c = b + c. If we add the same number to both sides of the equal sign, then the two sides remain equal.

Front

Provide an example of the Addition Property of Equality (APE).

Back

10 + 5 = 15 is true if and only if 10 + 5 + 8 = 15 + 8.

Front

What is the Multiplication Property of Equality (MPE)?

Back

For all real numbers a, b, and c, where c≠ 0, a = b if and only if ac = bc. If we multiply the same number to both sides of the equation, then the two sides remain equal.

Front

Provide an example of the Multiplication Property of Equality (MPE).

Back

3(5) = 15 is true if and only if (3)(5) 2 = 15 (2).