# Inverse Properties of Addition and Multiplication

Inverse Property of Addition says that any number added to its opposite will equal zero. What is the opposite you might ask? All you have to do is change the sign from positive to negative or negative to positive.

Let's see what that looks like.

Sometimes this can be written in a vertical format.

__-10__-10 is the opposite of 10

__+12__12 is the opposite of - 12

Inverse Property of Multiplication says that any number multiplied by its

**is equal to one.**

__reciprocal__Let's start by defining a reciprocal. To find the reciprocal of any number write it as a fraction and then flip it.

**: To multiply fractions you multiply the numerator times the numerator and then the denominator times the denominator and then simplify your answer:**

*Special Reminder*Now let's look at how we can use this with the inverse of multiplication.

*Now let's summarize what we have learned.*The Inverse Property of Addition says that any number added to its opposite is equal to zero.

**Related Links:**

Math

algebra

Trichotomy Property

Distributive Property

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