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