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rational

rational

3 7.4
Expressible as a fraction of two whole numbers
  • adjective
  • /ˈræʃənl/
  • Specialized
translation icon : racional
  • In mathematics, a rational number can be expressed as a fraction like 1/2.
  • rational number
  • rational distribution

But that the rational numbers are countable.

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Examples

  • If we assume that the square root of two is a rational number, then we can say that the square root of two is A over B, where A and B are whole numbers and B is not zero.

  • So in part A, we have to list the possible rational roots of this equation.

  • And yet the rational numbers are so much smaller than the real numbers.

  • We use the word rational to mean ratio of polynomials.

  • But that the rational numbers are countable.

  • So this looks like the perfect way to test how many rational points are on any given elliptic equation.

  • You can approximate a real number as close as you want with rational numbers, but not with integers.

  • Cantor showed that the irrational numbers outnumber the rational ones by a factor of roughly infinity.

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  • The mathematician explained that a rational number is one that can be written as a ratio of two whole numbers.

  • To find the area of a rectangle, you can use its length and width as rational measurements.

Antonyms

irrational
  • Specialized
3 7.8

A number that cannot be written as a fraction

Compounds

rational number
  • Specialized
1 3.8

A number that can be written as a fraction like 3/4 or -1/2

A reason for doing something that someone can explain with clear thinking

Surface Forms

rational positive
rationaler comparative
rationalest superlative

Morphology

rational = ratio (transparent) = ratio + al

This mathematical sense is directly built on the idea of a ratio and the suffix -al, so the meaning is fairly recoverable.

Etymology

Rational in mathematics also comes from Latin ratio 'a calculation', and it describes a number that can be written as a 'ratio' or fraction of two whole numbers.