Rational numbers Meaning and Definition
Rational Numbers
Pronunciation
/ˌreɪʃənəl ˈnʌmbərz/
Part of Speech
Noun
Definition
A number that can be expressed as the quotient or fraction of two integers, where the denominator is non-zero.
Examples
- The ratio of the circumference of a circle to its diameter is a rational number.
- Rational numbers can be represented as terminating or repeating decimals.
- In mathematics, rational numbers are used to describe ratios and proportions.
- Rational numbers are used in everyday life, such as in recipes and financial calculations.
Etymology
The term “rational” comes from the Latin word “ratiocinatio,” meaning “thought” or “reasoning.” In mathematics, the term “rational” was first used by the ancient Greeks to describe numbers that could be expressed as a ratio of integers.
Usage Notes
Rational numbers are often used in mathematics and science to describe quantities and proportions. In everyday language, rational numbers can be used to describe simple fractions, such as 1/2 or 3/4.
Cultural References
Rational numbers have been used in various cultural and artistic contexts, including music, literature, and visual arts.
Idiomatic Expressions or Phrases
Example: “The size of the pie is a rational number, representing the proportion of the whole to the part.”
Related Words or Phrases
- Irrational number
- Real number
- Integer
Collocations
- Rational numbers in mathematics
- Rational numbers in everyday life
- Properties of rational numbers
Frequency of Use
Rational numbers are widely used in various fields, including mathematics, science, economics, and finance. They are an essential part of everyday life, appearing in recipes, financial calculations, and scientific measurements.
Common Misspellings
- Rationnal numbers
- Rationals numbers