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Rational Numbers
5 páginas
Publicado por
Ram Singh
Rational Numbers
In mathematics, a Rational Number is any number that can be expressed as the quotient or
fraction a/b of two integers, with the denominator b not equal to zero.
Since b may be equal to 1,
every integer is a rational...
[Mais]
Rational Numbers
In mathematics, a Rational Number is any number that can be expressed as the quotient or
fraction a/b of two integers, with the denominator b not equal to zero.
Since b may be equal to 1,
every integer is a rational number.
The set of all rational numbers is usually denoted by a boldface Q (or blackboard bold{Q},
Unicode, which stands for quotient.
)
The decimal expansion of a rational number always either terminates after finitely many digits or
begins to repeat the same finite sequence of digits over and over.
Moreover, any repeating or
terminating decimal represents a rational number.
These statements hold true not just for base 10, but also for binary, hexadecimal, or any other
integer base.
A real number that is not rational is called irrational.
Irrational numbers include √2, π, and e.
The
decimal expansion of an irrational number continues forever without repeating.
Since the set of rational numbers is countable, and the set of real numbers is uncountabl
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