# How to use *Rationals* in a sentence

A real number is a class (a, say) of rational numbers which satisfies the condition that it is the same as the class of those

**rationals**each of which precedes at least one member of a.Therefore, that interval contains a rational q x and all those

**rationals**are distinct.Thus, consider the class of

**rationals**less than 2r; any member of this class precedes some other members of the class - thus 1/2 precedes 4/3, 3/2 and so on; also the class of predecessors of predecessors of 2 2.Note that the class of

**rationals**less than or equal tÃ² 2r is not a real number.Consider the serial arrangement of the

**rationals**in their order of magnitude.AdvertisementNote that the class of

**rationals**less than or equal tò 2r is not a real number.For example, the class of

**rationals**whose squares are less than 2r satisfies the definition of a real number; it is the real number A I 2.Now, owing to the necessary inexactness of measurement, it is impossible to discriminate directly whether any kind of continuous physical quantity possesses the compactness of the series of

**rationals**or the continuity of the series of real numbers.