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Meaning of "rational number" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF RATIONAL NUMBER

rational number play
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GRAMMATICAL CATEGORY OF RATIONAL NUMBER

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Rational number is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES RATIONAL NUMBER MEAN IN ENGLISH?

Rational number

In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero. Since q 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, Unicode ℚ); it was thus denoted in 1895 by Peano after quoziente, Italian for "quotient". The decimal expansion of a rational number always either terminates after a finite number of 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, e, and φ. The decimal expansion of an irrational number continues without repeating. Since the set of rational numbers is countable, and the set of real numbers is uncountable, almost all real numbers are irrational.

Definition of rational number in the English dictionary

The definition of rational number in the dictionary is any real number of the form a/ b, where a and b are integers and b is not zero, as 7 or 7/3.

WORDS THAT BEGIN LIKE RATIONAL NUMBER

ration card
ration coupon
rational
rational dress
rationale
rationalisable
rationalise
rationaliser
rationalism
rationalist
rationalistic
rationalistically
rationalities
rationality
rationalizable
rationalization
rationalize
rationalizer
rationally
rationalness

WORDS THAT END LIKE RATIONAL NUMBER

accession number
call number
climber
cool as a cucumber
cucumber
house number
Humber
lumber
mobile number
number
outnumber
phone number
plumber
reference number
registration number
serial number
slumber
social security number
street number
telephone number
VAT number

Synonyms and antonyms of rational number in the English dictionary of synonyms

SYNONYMS

Translation of «rational number» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF RATIONAL NUMBER

Find out the translation of rational number to 25 languages with our English multilingual translator.
The translations of rational number from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «rational number» in English.

Translator English - Chinese

有理数
1,325 millions of speakers

Translator English - Spanish

número racional
570 millions of speakers

English

rational number
510 millions of speakers

Translator English - Hindi

तर्कसंगत संख्या
380 millions of speakers
ar

Translator English - Arabic

عدد الرشيد
280 millions of speakers

Translator English - Russian

рациональное число
278 millions of speakers

Translator English - Portuguese

número racional
270 millions of speakers

Translator English - Bengali

যুক্তিসঙ্গত সংখ্যা
260 millions of speakers

Translator English - French

nombre rationnel
220 millions of speakers

Translator English - Malay

nombor rasional
190 millions of speakers

Translator English - German

rationale Zahl
180 millions of speakers

Translator English - Japanese

有理数
130 millions of speakers

Translator English - Korean

유리수
85 millions of speakers

Translator English - Javanese

Nomer rasional
85 millions of speakers
vi

Translator English - Vietnamese

số lượng hợp lý
80 millions of speakers

Translator English - Tamil

பகுத்தறிவு எண்
75 millions of speakers

Translator English - Marathi

परिमेय संख्या
75 millions of speakers

Translator English - Turkish

rasyonel sayı
70 millions of speakers

Translator English - Italian

numero razionale
65 millions of speakers

Translator English - Polish

liczba wymierna
50 millions of speakers

Translator English - Ukrainian

раціональне число
40 millions of speakers

Translator English - Romanian

număr rațional
30 millions of speakers
el

Translator English - Greek

ρητός αριθμός
15 millions of speakers
af

Translator English - Afrikaans

rasionele getal
14 millions of speakers
sv

Translator English - Swedish

rationellt tal
10 millions of speakers
no

Translator English - Norwegian

rasjonelt tall
5 millions of speakers

Trends of use of rational number

TRENDS

TENDENCIES OF USE OF THE TERM «RATIONAL NUMBER»

The term «rational number» is regularly used and occupies the 71.107 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
67
/100
The map shown above gives the frequency of use of the term «rational number» in the different countries.
Principal search tendencies and common uses of rational number
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «rational number».

FREQUENCY OF USE OF THE TERM «RATIONAL NUMBER» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «rational number» during the past 500 years. Its implementation is based on analysing how often the term «rational number» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about rational number

EXAMPLES

10 ENGLISH BOOKS RELATING TO «RATIONAL NUMBER»

Discover the use of rational number in the following bibliographical selection. Books relating to rational number and brief extracts from same to provide context of its use in English literature.
1
Rational Number Theory in the 20th Century: From PNT to FLT
This book will appeal to graduate researchers and student in number theory, however the presentation of main results without technicalities will make this accessible to anyone with an interest in the area.
Władysław Narkiewicz, 2011
2
The Heart of Mathematics: An Invitation to Effective Thinking
0.7935628456574838836530048362830472611839457378 .... We don't stop! We do this forever and thus create a real number. What is the likelihood that this random number is a rational number? Well, for it to be rational, from some point ...
Edward B. Burger, Michael P. Starbird, 2005
3
Rational Points on Elliptic Curves
771 We begin by defining the height of a rational number. Let x — — be a n rational number written in lowest terms. Then we define the height H(x) to be the maximum of the absolute values of the numerator and the denominator: H(x) = H  ...
Joseph H. Silverman, 1992
4
How Students Learn: Mathematics in the Classroom
Do the principles of learning highlighted in this book help illuminate the widespread problems observed as students grapple with rational number? Can they point to more effective approaches to teaching rational number? We believe the ...
M. Suzanne Donovan, John D. Bransford, Committee on How People Learn: A Targeted Report for Teachers, 2005
5
Algebra for College Students
You will recall that any number that can be written in the form — , where a and b b are integers and b 0, is called a rational number. The following are examples of rational numbers. 3 4 15 7 12 17 Numbers such as 6, —4, 0, 4—, 0.7, and 0.21  ...
Jerome Kaufmann, Karen Schwitters, 2010
6
Practical Analysis in One Variable
The decimal expansion of any rational number is either finite or infinite periodic; and vice versa, any decimal expansion that is finite or infinite periodic represents a rational number. The periodic pattern in a decimal expansion of a rational ...
Donald Estep, 2002
7
Handbook of Mathematics for Engineers and Scientists
Rational numbers. A rational number is a real number that can be written as a fraction (ratio) p/q with integer p and q (q * 0). It is only the rational numbers that can be written in the form of finite (terminating) or periodic (recurring) decimals ( e.g., ...
Andrei D. Polyanin, Alexander V. Manzhirov, 2006
8
The Philosophy of Mathematics: An Introductory Essay
(The natural numbers remain pairwise above and below the line in the notion of a fraction, and the fractions remain as the elements of the set, called rational number)." The decisive step in Dedekind's reconstruction of the old theory of real  ...
Stephan Körner, 1986
9
What is Mathematics?: An Elementary Approach to Ideas and ...
True, one cannot arrange the positive rational numbers in order of size (as one can the integers) by saying that a is the first rational number, b the next larger, and so forth, because there are infinitely many rational numbers between any two  ...
Richard Courant, Herbert Robbins, Ian Stewart, 1996
10
Introduction to Mathematical Thinking: The Formation of ...
But is this separation produced by a rational number? That is, is there a rational number which is either the greatest element of the lower class or the smallest element of the upper class? No! For, at the exact point where the two classes meet, ...
Friedrich Waismann, 2003

10 NEWS ITEMS WHICH INCLUDE THE TERM «RATIONAL NUMBER»

Find out what the national and international press are talking about and how the term rational number is used in the context of the following news items.
1
Making Irrational Rational
As a quick reminder, an irrational number is one that never ends or repeats. ... whereas fractions of integers, like 22/7, do not--they are called rational numbers. «Huffington Post, Jul 15»
2
ON THE WATER: Initiation toll is not a rational number
NUMBERS can be fun. They can be so much more than the general study of integers, which tell us almost nothing about the human condition except that we are ... «BDlive, Jul 15»
3
The other irrational numbers we could celebrate instead of pi
But there are plenty of other infinite decimal (and infinitely useful) numbers to ... Even between a single pair of rational numbers (between 1 and 2, for example) ... «Quartz, Mar 15»
4
Fraction focus gives University Place students a strong foundation …
The district studied the success of the Rational Number Project from the University of Minnesota, a decades-long research project that offered practical methods ... «TheNewsTribune.com, Jul 14»
5
Hyperbolic homogeneous polynomials, oh my!
Begin counting 1, 2, 3, and you enter the domain of number theory. ... Multiplying that solution by any rational number will give infinitely many rational solutions, ... «Phys.Org, Apr 14»
6
Real Numbers: Properties and Definition
Real numbers are, in fact, pretty much any number that you can think of. This can include whole numbers or integers, fractions, rational numbers and irrational ... «LiveScience.com, Jan 14»
7
Romance, Continued Fractions, and You
This is actually a big advantage for continued fractions as opposed to decimal representations of numbers. Some rational numbers, such as 1/3=.333333… and ... «Scientific American, Feb 13»
8
The Definitive Quick Reference Guide to All Types of Numbers
Several previous articles introduced a variety of numbers, including Natural Numbers, Integers, Rational Numbers, Real Numbers, Imaginary Numbers, Irrational ... «Decoded Science, Oct 11»
9
The Square Root of Two is a Real Irrational Number
The Rational numbers are the fractions made by dividing one integer by another. We exclude “division by zero”. Usually the division operation is defined as the ... «Decoded Science, Sep 11»
10
Division and Its Discontents
Dividing a whole number evenly is not always possible … unless we expand the ... These are ratios of integers — hence their technical name, “rational numbers. «New York Times, Feb 10»

REFERENCE
« EDUCALINGO. Rational number [online]. Available <https://educalingo.com/en/dic-en/rational-number>. Apr 2024 ».
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