Unit 2 expressions

Lesson 3 inverse and identity properties

The inverse property states that for every number, there exists another number such that when they are added together, the sum is zero. In other words, for any number "a", there exists another number "-a" such that a + (-a) = 0. This property is also true for multiplication, where for every nonzero number "a", there exists another number "1/a" such that a * (1/a) = 1.

The identity property states that for any number, adding or multiplying it by 1 will not change its value. In other words, for any number "a", a + 0 = a and a * 1 = a.

These properties are fundamental in algebraic operations and play a crucial role in solving equations and simplifying expressions.