irrational numbers
Pi's numerical family
Irrational numbers are numbers that cannot be expressed as a ratio of two integers.
Their decimal expansions go on forever without repeating: pi, the square root of 2, Euler's number.
The ancient Greeks discovered them and found them disturbing—hence "irrational," suggesting something unreasonable or contrary to logic.
Together with rational numbers, they form the real numbers.
- piCircle's fundamental ratio
- incommensurableLacking common unit
- golden ratioPhi, roughly 1.618
- mathematicsScience of quantity and structure
- transcendentalBeyond ordinary experience
calculus · angles · square root · mathematical constants · continuous · sqrt · infinite series · impossible · proof · paradox · endless · decimal · denominator · numerator · real · convergent · discovered · radical
- numbersone, two, four, three, 0
- math conceptsangle, algebra, circle, equations, equation
- math termsplus or minus, linear growth, square, operand, division
- number typesintegers, fractions, decimals, primes, evens
- ancient mathalgebra, arithmetic, geometry, fractions, addition
- Greek mathematicsEuclid, Archimedes, Pythagoras, geometry, theorem
irrational numbersrational numbers
Integers' quotients, including terminating decimals
fractions · integers · whole numbers · natural numbers · ratios
numbers, irrational, irrational number, irrationally, irrationality, irrationals, rational numbers