Irrational numbers
Content
What is an irrational number?
The irrational numbers are those that have a decimal part of infinite numbers and do not have a number or group of periodic numbers, in other words, there is no repetition in the decimal part.
It is called irrational because it is not possible to express as a fraction or a reason, unlike irrational numbers that can be expressed as fractions.
Learn more about: “Rational numbers”. →
What are the irrational numbers?
Irrational numbers are presented by the letter I, capital "i". Another way to present irrational numbers is R - Q, where R corresponds to real numbers and Q to rational numbers. It is important not to use lowercase "i" as it represents imaginary numbers.
There are irrational numbers that have their own symbols, for example:
- Pi Number: It is represented by the Greek letter pi "Π" and its approximate value is rounded to 3.1416 but the actual value of the decimals is uncertain: 3.141592653589793238462643...
Learn more about:“Pi Number”. →
- Euler number: It is represented by the letter "e" and has infinite decimals, some digits are: 2.718281828459045235...
Learn more about: “Euler number”. →
- Golden number: It is represented by the Greek letter phi "Φ", is a number that presents great wonders and incredible properties, the approximate value is: 1.61803398...
Learn more about: “Golden number”. →
Some irrational numbers are:
√2 = 1.41421352373095...
√123 = 11.09053650640942...
√3 = 1.732050807568877...
√685 = 26.1725046566048...
6.01001000100010000...
Content
Arithmetic Tutorials
- Arithmetic
- Number
- Natural
- Integer
- Rational
- Irrational
- Complex
- Even
- Odd
- Prime
- Decimal
- Ordinal
- Pi number
- Euler number
- Golden number
- Place value
- Sum
- Subtraction
- Multiplication
- Division
- Rule of signs
- Signs of greater and lesser
- Absolute value
- Fraction
- Multiples
- Least common multiple (lcdm)
- Divisor
- Greatest common divisor (gcd)
- Exponent
- Logarithm
- Root (square y cube)
- Factorial
- Percentage
- Rule of three