0 a number that can be expressed as the ratio of two whole numbers --
1 a number that can be expressed as the ratio (= relationship expressed in numbers showing how much bigger one thing is than the other) of two whole numbers --
In both cases, for input systems with rational number coefficients, routines for isolating the real solutions are available.
All the rational numbers are equivalent, because each rational number is equivalent to zero.
In fact, they are only defined when the exponent is a rational number with the denominator being an odd integer.
This is because every rational number has a recurring decimal expansion.
We are thinking, for instance, of the sequences of rational numbers converging towards an irrational, for example, 2: this theoretical limit produces 2, which is not a rational number.
In fact, each time we evaluate polynomials at some rational number, we are never interested in the exact value of the result, but only in its sign.
Evidently, every such fraction represents a rational number.
Each incommensurable magnitude of a geometrical figure is necessarily reduced to a convergent rational number according to some set 'degree of precision' - digitization.
