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Irrational Numbers

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MTES 3013 TUTORIAL 21/9/2021
Nasyita Aqilah
Mind Map by Nasyita Aqilah, updated more than 1 year ago
Nasyita Aqilah
Created by Nasyita Aqilah almost 4 years ago
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Resource summary

Irrational Numbers
  1. Definition
    1. Real number that cannot be written as a simple fraction
      1. Any real number that cannot be expressed as the quotient of two integers
      2. Properties
        1. Each irrational number can be expressed an infinite decimal expansion with no regularly repeating digit or group of digits
          1. The decimal expansion of an irrational number is neither terminating nor recurring
            1. Irrational numbers + Rational numbers = Rational numbers
              1. Rational numbers x Irrational numbers = Irrational numbers
                1. LCM, two Irrational numbers may or may not exists
                  1. Irrational numbers + Irrational numbers = may be Rational numbers / Irrational numbers
                    1. Irrational numbers x Irrational numbers = may be Rational numbers / Irrational numbers
                    2. Example of Irrational Numbers
                      1. Pi = 3.14159265358979…
                        1. Euler's Number = 2.71828182845904…
                          1. Golden Ratio = 1.61803398874989….
                            1. Square roots ( not all roots are irrational numbers )
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