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What is a rational number?

What is a rational number? Here are some definitions.

Noun
  1. (mathematics) A number that can be expressed as the ratio of two integers.
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If the numerator or denomiator becomes too large, rational number is converted in a double precision floating-point.
So we can do the same in deriving a particular type of rational number.
Rational numbers are also dense, meaning that between any two rational numbers, another rational number must exist.
Commerce then concluded that the only rational number to be used for the universe was the total number of natural and processed agricultural products produced in Canada, which it assumed was in the hundreds.
This excludes for example in 1D the group of translations by a rational number.
He presented a new foundation for and extended the arithmetic of semi-simple algebras over the rational number field.

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