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Real numbers

Real numbers are all the numbers that can be found on a number line. This includes both rational and irrational numbers.

The opposite of a real number is a complex number (which includes the imaginary unit ).

More simply, a real number is any number with only a real part (no imaginary part, so no coefficient of ).

The set of real numbers is usually denoted by the symbol :

  • (simplifies to , which is real)
  • (imaginary constant)
  • (complex number with real and imaginary parts)
  • (pure imaginary number)
  • (complex number with real and imaginary parts)