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the
are the numbers of arithmetic: the whole numbers, fractions, mixed numbers, and decimals; together with their negative images
A rational number
be written in what form as a fraction
, where
and
are integers (b is not = 0).
When
and
are positive, that is, when they are natural numbers, then we can always name their ratio.
the square roots of square numbers are rational.
An
is any real number that is
a rational number -- that is, it is a number which
be expressed as a fraction
, where
and
are integers, with
non-zero.
If we attempted to express an
as a complete decimal, then, clearly, we could not, because if we could, the number would be rational.
Examples of both
and
numbers:
,
,
………. rational numbers
,
,
,
,
,
………. irrational numbers
