Inverse+Property

__**Inverse Property for Multiplication**__
by: Andre

This Inverse property for Multiplication states that math a * \frac{1}{a} = 1 math as long as "a" does not equal 0.

This property is useful when solving equations.


 * Example 1:**

Solve for "x". 4x = 4 math \frac{1}{4}*(4x)=4(\frac{1}{4}) math

Which gives math x = 1 math


 * Example 2:**

Solve for "a" 25a = 125

math \frac{1}{25}*(25a)=125(\frac{1}{25}) math

Which gives,

math a = 5 math

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__Inverse Property for Addition__
by: Kim and Mr. Rochester

The formula for this is a + (-a) = 0


 * Examples:**
 * 1) The additive inverse of 3 is (-3) because 3 + -3 = 0
 * 2) The additive inverse of 15 is (-15) because 15 + -15 = 0

This property is useful when solving equations.

Solve for "x" 3x + 2=2x+5 3x +2 + (**-2)** = 2x + 5 + **(-2)** (Used the inverse property of Addition to get rid of the +2) 3x = 2x + 3 3x+ **(-2x)** = 2x + **(-2x)** + 3 (Use the Inverse Property of Addition to get rid of the -2) x = 3
 * Example:**

edited by Mr. Rochester