rational number

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rational number:

see numbernumber,
entity describing the magnitude or position of a mathematical object or extensions of these concepts. The Natural Numbers

Cardinal numbers describe the size of a collection of objects; two such collections have the same (cardinal) number of objects if their
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.

Rational Number

 

a number that can be expressed in the form of a fraction m/n, where m and η are integers and n ≠ 0. Since an integer m can be expressed as m/1, all integers are rational numbers. The operations of addition, subtraction, multiplication, and division (by nonzero divisors) can always be performed in the domain of rational numbers; thus, the rational numbers form a field. The basic rules of the operations over the rational numbers are given by the formulas

Rational numbers can also be represented in the form of finite decimals or infinite periodic decimals. Every irrational number can be included between two rational numbers, the difference between which can be made arbitrarily small.

rational number

[′rash·ən·əl ′nəm·bər]
(mathematics)
A number which is the quotient of two integers.

rational number

any real number of the form a/b, where a and b are integers and b is not zero, as 7 or 7/3
References in periodicals archive ?
The five problems in this category were intended to ascertain a student's conceptual understanding of the basic structure of rational numbers.
j] are distinct positive rational numbers for j = 1, .
On the mathematical, cognitive, and instructional foundations of rational numbers.
That is, principles guiding its development emphasized the meaning of fractions, the proportional characteristics of rational numbers, natural ways students may view problems and solutions, and alternate forms of visual representations (Moss & Case, 1999).
iv) We give in fact in the next proposition a much stronger result stating that almost no rational numbers belong to the set L.
Although student understanding was the initial focus of the research, other data was collected on the teacher candidates as well, since their own knowledge of fractions and rational numbers is key to the success of the students they will eventually teach.
rational numbers and decimal expansions are synonyms again?
Heuer: Rational numbers generated by two integers, Am.
They explain complex numbers and rational numbers, expanding on the latter as a field and describing rational numbers as a field, then work through the concept of completion, as chains, ordered groups, topological abelian groups, and topological rings and fields.
They are sacred numerological ages, the purpose of which was to impart a spiritual or historical truth to the text, one that to the ancients surpassed the meaning of pure rational numbers.