Identity Properties Identity Property of Addition: For any real number a : a + 0 = a 0 + a = a 0 is the additive identity Identity Property of Multiplication: For any real number a : a ⋅ 1 = a 1 ⋅ a = a 1 is the multiplicative identity

Inverse Properties Inverse Property of Addition: For any real number a : a + ( - a ) = 0 - a is the additive inverse of a Commutative Properties Commutative Property of Addition: If a , b are real numbers, then a + b = b + a

Real number — a real number is a number that is either rational or irrational. Multiplicative Identity — The multiplicative identity is 1. When one multiplies any number, it does not change the value. Additive Identity — The additive identity is 0. When zero is added to any number, it does not change the value. Additive Inverse — The opposite of a number is its additive inverse . The additive inverse of a is - a.