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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

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