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## Real Numbers Edit

A Real Number is any number that satisfies either condition:

1. Can be counted [Natural Numbers]
2. The countable unit can be inverted [Negative Natural Numbers]
3. Zero exists [Integers with 1. and 2.]
4. All recurring or terminating decimals, fractions [Rational Numbers]
5. All non-recurring decimals, fractions [Irrational Numbers]

## Imaginary Numbers Edit

An Imaginary Number is NOT a Real Number. It rather satisfies:

1. Any Root of a Inverted Real Number exists [$\sqrt{-1}$]

This gives rise to the notion that $\sqrt{-1} = i$

## Complex Numbers Edit

A Complex Number is a combination of a Real Number and an Imaginary Number.

Example: $12+5i$ which is equal to $12+5\sqrt{-1}$

## Real Part and Imaginary PartsEdit

Now we know that a Complex Number is a combination of a Real Number and an Imaginary Number. This means we can separate it into Real and Imaginary Parts, like so:

$Real(12+5i)=Re(12+5i)=12$

$Imaginary(12+5i)=Im(12+5i)=5$

NOTE: $Im(12+5i)\neq5i$