Author:
Laura McKinney
Date Of Creation:
9 August 2021
Update Date:
1 July 2024
Content
When speaking of "numbers" we refer to those mathematical concepts that represent a certain quantity in relation to a unit. Within these mathematical expressions the rational and irrational numbers are identified:
- Rational: When we talk about these numbers we refer to those that can be expressed as a fraction, with a denominator that is not zero. Basically it is the quotient of two numbers that are integers.
- Irrational: As opposed to rational numbers, these cannot be expressed as a fraction. This is basically because they have non-periodic decimal places endlessly, or infinitely. This type of number was identified by a student of Pythagoras, known by the name of Hipaso.
Examples of irrational numbers
- π (pi): This is perhaps the best known irrational number of all. It is the expression of the relationship that exists between the diameter of a sphere and its length. Pi then is 3.141592653589 (…), although in general it is known simply as 3.14.
- √5: 2.2360679775
- √123: 11.0905365064
- and: it is the Euler number and it is the curve that is observed in electrical tissues and that appears in processes such as radioactive radiation or in growth processes. Euler's number is: 2.718281828459 (…).
- √3: 1.73205080757
- √698: 26.4196896272
- Golden: this number, which is represented by the following symbol Φ, which is nothing more than the Greek letter Fi. This number is also known as golden ratio, golden number, mean, golden ratio, among others. What this irrational number expresses is the proportion that exists between two parts of a line, either of something that is found in reality or of a geometric figure. But also, the golden number is widely used by plastic artists when establishing proportions in their works. This number is: 1.61803398874989.
- √99: 9.94987437107
- √685: 26.1725046566
- √189: 13.7477270849
- √7: 2.64575131106
- √286: 16.9115345253
- √76: 8.71779788708
- √2: 1.41421356237
- √19: 4.35889894354
- √47: 6.8556546004
- √8: 2.82842712475
- √78: 8.83176086633
- √201: 14.1774468788
- √609: 24.6779253585
Follow with: Examples of Rational Numbers
