IRRATIONAL NUMBER Meaning and
Definition
-
An irrational number is a mathematical concept denoting a number that cannot be expressed as a simple fraction, or the ratio of two integers. In other words, it is a real number that cannot be written as a finite or repeating decimal. Irrational numbers constantly extend beyond any discernible pattern or repetition in their digits.
The distinguishing characteristic of an irrational number lies in its infinite and non-repeating decimal representation. Contrary to rational numbers, which can be expressed as terminating or recurring decimals, irrational numbers possess an unending and non-cyclical sequence of digits after the decimal point. For instance, π (pi), the irrational constant representing the ratio of a circle's circumference to its diameter, possesses a decimal representation that extends infinitely without repeating any pattern.
The existence of irrational numbers was discovered in ancient Greece, challenging the notion that all quantities could be expressed as fractions. Their discovery led to a groundbreaking mathematical paradigm shift and formed a cornerstone of number theory. Examples of irrational numbers include the square root of 2 (√2), the Euler's number (e), and the golden ratio (φ).
Irrational numbers are fundamental in various mathematical disciplines, including algebra, calculus, and geometry. They play a significant role in determining precise measurements, modeling real-world phenomena, and analyzing complex systems. The concept of irrational numbers continues to captivate mathematicians, offering a glimpse into the infinite and intricate nature of numbers.
Common Misspellings for IRRATIONAL NUMBER
- urrational number
- jrrational number
- krrational number
- orrational number
- 9rrational number
- 8rrational number
- ierational number
- idrational number
- ifrational number
- itrational number
- i5rational number
- i4rational number
- ireational number
- irdational number
- irfational number
- irtational number
- ir5ational number
- ir4ational number
- irrztional number
Etymology of IRRATIONAL NUMBER
The word "irrational" comes from the Latin term "irrationalis", which is a combination of the prefix "in-" meaning "not" and the word "rationalis" meaning "having to do with reason or ratio". The usage of "irrational" in mathematics to describe numbers that cannot be expressed as a ratio of two integers can be traced back to the 16th century, and the term "irrational number" itself was coined in the 19th century.
Similar spelling words for IRRATIONAL NUMBER
Infographic
Add the infographic to your website:
