Standard Lemma guide

rational

adj · noun · 17 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

Each Play button uses your device's default local English voice, or a natural local fallback. The selected voice name appears after playback. This is synthesized speech, not a source recording.

  • ră'sh(ə)nəl
  • /ˈɹæʃ(ə)nəl/
  • US: Recorded audio is listed in the source snapshot.
  • Australia: Recorded audio is listed in the source snapshot.
  • rhymes with -æʃənəl
  • CMU ARPABET: R AE1 SH AH0 N AH0 L Digits mark lexical stress: 1 primary, 2 secondary, 0 unstressed.
  • CMU ARPABET 2: R AE1 SH N AH0 L Digits mark lexical stress: 1 primary, 2 secondary, 0 unstressed.

1

adj

Meaning 1

Capable of reasoning.

Definition source: English Wiktionary via Wiktextract

Examples

  • Man is a rational creature.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

adj

Meaning 2

Capable of reasoning.

Behaving according to some partial order of preferences.

Definition source: English Wiktionary via Wiktextract

Topics: economics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

3

adj

Meaning 3

Logically sound; not self-contradictory or otherwise absurd.

Definition source: English Wiktionary via Wiktextract

Examples

  • His statements were quite rational.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

4

adj

Meaning 4

Healthy or balanced intellectually; exhibiting reasonableness.

Definition source: English Wiktionary via Wiktextract

Examples

  • rational conduct

Meaning relationships

Synonyms: none provided

Antonyms: none provided

5

adj

Meaning 5

Comprising, or expressible as, a ratio

Of a number, capable of being expressed as the ratio of two integers.

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: arithmetic, mathematics, sciences

Examples

  • 3⁄4 is a rational number, but √2 is an irrational number.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

6

adj

Meaning 6

Comprising, or expressible as, a ratio

Of an algebraic expression in indeterminates, or more generally a function: capable of being expressed as the ratio of two polynomials.

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: algebra, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

7

adj

Meaning 7

Comprising, or expressible as, a ratio

Of a variety: (informally) geometrically simple almost everywhere; (formally) birationally equivalent to projective space

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: algebraic-geometry, geometry, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

8

adj

Meaning 8

Comprising, or expressible as, a ratio

Of a function between varieties: acting as a morphism on an open subset of its domain.

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: algebraic-geometry, geometry, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

9

adj

Meaning 9

Comprising, or expressible as, a ratio

Of a point on an algebraic variety over a field: whose coordinates belong to the field in question (in contrast to those points of the variety which are only defined over the algebraic closure of the base field).

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: algebraic-geometry, geometry, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

10

adj

Meaning 10

synonymous replacement for "condensed" in condensed formula.

Definition source: English Wiktionary via Wiktextract

Usage: obsolete

Topics: chemistry, natural-sciences, physical-sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

11

noun

Meaning 11

A rational number: a number that can be expressed as the quotient of two integers.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

Examples

  • The quotient of two rationals is again a rational.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

12

noun

Meaning 12

The breastplate worn by Israelite high priests.

Definition source: English Wiktionary via Wiktextract

Usage: historical

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

13

adjective

Meaning 13

consistent with or based on or using reason

Definition source: Princeton WordNet 3.0

Examples

  • rational behavior
  • a process of rational inference
  • rational thought

Meaning relationships

Synonyms: none provided

Antonyms: irrational

14

adjective

Meaning 14

capable of being expressed as a quotient of integers

Definition source: Princeton WordNet 3.0

Examples

  • rational numbers

Meaning relationships

Synonyms: none provided

Antonyms: irrational

15

adjective satellite

Meaning 15

having its source in or being guided by the intellect (as distinguished from experience or emotion)

Definition source: Princeton WordNet 3.0

Examples

  • a rational analysis

Meaning relationships

Synonyms: none provided

Antonyms: none provided

16

adjective satellite

Meaning 16

of or associated with or requiring the use of the mind

Definition source: Princeton WordNet 3.0

Examples

  • intellectual problems
  • the triumph of the rational over the animal side of man

Meaning relationships

Synonyms: intellectual, noetic

Antonyms: none provided

17

noun

Meaning 17

an integer or a fraction

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: rational number

Antonyms: none provided

Broader terms: real number, real

Narrower terms: fraction

History

Etymology

From Old French rationel, rational, from Latin rationalis (“of or belonging to reason, rational, reasonable; having a ratio”), from ratio (“reason; calculation”).

From Old French rational, from Medieval Latin rationale (“a pontifical stole, a pallium, an ornament worn over the chasuble”), neuter of Latin rationalis (“rational”), for which see the first etymology. Translation of λογεῖον (logeîon) or perhaps λόγιον (lógion, “oracle”) in the Septuagint version of Exodus 28.

Across languages

Translations

140 source translations are retained for this English entry.

  • Armenian: բանական (banakan) — capable of reasoning
  • Bulgarian: разумен (razumen) — capable of reasoning
  • Catalan: racional — capable of reasoning
  • Chinese Mandarin: 合理的 (hélǐ de) — capable of reasoning
  • Chinese Mandarin: 理性的 (lǐxìng de) — capable of reasoning
  • Czech: racionální — capable of reasoning
  • Finnish: rationaalinen — capable of reasoning
  • French: rationnel — capable of reasoning
  • French: rationnelle — capable of reasoning
  • German: vernünftig — capable of reasoning
  • German: sinnvoll — capable of reasoning
  • German: rational — capable of reasoning
  • Ancient Greek: λογικός (logikós) — capable of reasoning
  • Ancient Greek: ἔμφρων (émphrōn) — capable of reasoning
  • Hindi: तार्किक (tārkik) — capable of reasoning
  • Hungarian: értelmes — capable of reasoning
  • Indonesian: rasional — capable of reasoning
  • Italian: razionale — capable of reasoning
  • Italian: lucido — capable of reasoning
  • Macedonian: рациона́лен (racionálen) — capable of reasoning
  • Macedonian: ра́зумен (rázumen) — capable of reasoning
  • Old English: ġesċeādwīs — capable of reasoning
  • Polish: racjonalny — capable of reasoning
  • Portuguese: racional — capable of reasoning
  • Romanian: rațional — capable of reasoning
  • Russian: мы́слящий (mýsljaščij) — capable of reasoning
  • Russian: разу́мный (razúmnyj) — capable of reasoning
  • Russian: рациона́льный (racionálʹnyj) — capable of reasoning
  • Scottish Gaelic: ciallach — capable of reasoning
  • Serbo-Croatian: рационалан — capable of reasoning
  • Serbo-Croatian: разуман — capable of reasoning
  • Serbo-Croatian: racionalan — capable of reasoning
  • Serbo-Croatian: razuman — capable of reasoning
  • Spanish: racional — capable of reasoning
  • Arabic: عَقْلَانِيّ (ʕaqlāniyy) — reasonable; not absurd
  • Armenian: ռացիոնալ (ṙacʻional) — reasonable; not absurd
  • Armenian: խելացի (xelacʻi) — reasonable; not absurd
  • Armenian: նպատակահարմար (npatakaharmar) — reasonable; not absurd
  • Bulgarian: смислен (smislen) — reasonable; not absurd
  • Catalan: racional — reasonable; not absurd
  • Chinese Mandarin: 合理的 (hélǐ de) — reasonable; not absurd
  • Czech: racionální — reasonable; not absurd
  • Danish: rationel — reasonable; not absurd
  • Dutch: rationeel — reasonable; not absurd
  • Dutch: redelijk — reasonable; not absurd
  • Dutch: verstandelijk — reasonable; not absurd
  • Finnish: järkevä — reasonable; not absurd
  • Finnish: järjellinen — reasonable; not absurd
  • Finnish: järkiperäinen — reasonable; not absurd
  • Finnish: järkeenkäypä — reasonable; not absurd
  • Finnish: rationaalinen — reasonable; not absurd
  • French: raisonnable — reasonable; not absurd
  • Georgian: რაციონალური (racionaluri) — reasonable; not absurd
  • Georgian: გონივრული (gonivruli) — reasonable; not absurd
  • Georgian: ჭკვიანური (č̣ḳvianuri) — reasonable; not absurd
  • Georgian: კეთილგონივრული (ḳetilgonivruli) — reasonable; not absurd
  • German: vernünftig — reasonable; not absurd
  • Gothic: 𐌰𐌽𐌳𐌰𐌸𐌰𐌷𐍄𐍃 (andaþahts) — reasonable; not absurd
  • Ancient Greek: λογικός (logikós) — reasonable; not absurd
  • Hindi: तार्किक (tārkik) — reasonable; not absurd
  • Hungarian: racionális — reasonable; not absurd
  • Hungarian: észszerű — reasonable; not absurd
  • Indonesian: rasional — reasonable; not absurd
  • Italian: ragionevole — reasonable; not absurd
  • Italian: sensato — reasonable; not absurd
  • Italian: logico — reasonable; not absurd
  • Japanese: 合理的 (gōriteki) — reasonable; not absurd
  • Korean: 합리적 (hamnijeok) — reasonable; not absurd
  • Macedonian: рациона́лен (racionálen) — reasonable; not absurd
  • Macedonian: разумен (razumen) — reasonable; not absurd
  • Macedonian: целисходен (celishoden) — reasonable; not absurd
  • Maltese: għaqli — reasonable; not absurd
  • Old English: ġesċeādwīs — reasonable; not absurd
  • Polish: racjonalny — reasonable; not absurd
  • Polish: rozsądny — reasonable; not absurd
  • Portuguese: racional — reasonable; not absurd
  • Romanian: rațional — reasonable; not absurd
  • Russian: рациона́льный (racionálʹnyj) — reasonable; not absurd
  • Russian: разу́мный (razúmnyj) — reasonable; not absurd
  • Russian: целесообра́зный (celesoobráznyj) — reasonable; not absurd
  • Russian: рассуди́тельный (rassudítelʹnyj) — reasonable; not absurd
  • Scottish Gaelic: ciallach — reasonable; not absurd
  • Serbo-Croatian: рационалан — reasonable; not absurd
  • Serbo-Croatian: разуман — reasonable; not absurd
  • Serbo-Croatian: разборит — reasonable; not absurd
  • Serbo-Croatian: racionalan — reasonable; not absurd
  • Serbo-Croatian: razuman — reasonable; not absurd
  • Serbo-Croatian: razborit — reasonable; not absurd
  • Spanish: razonable — reasonable; not absurd
  • Swedish: rationell — reasonable; not absurd
  • Telugu: హేతుబద్దమైన (hētubaddamaina) — reasonable; not absurd
  • Ukrainian: раціона́льний (racionálʹnyj) — reasonable; not absurd
  • Vietnamese: hợp lí — reasonable; not absurd
  • Vietnamese: hợp lý — reasonable; not absurd
  • Armenian: ռացիոնալ (ṙacʻional) — arithmetic: of a number
  • Bulgarian: рационален (racionalen) — arithmetic: of a number
  • Catalan: racional — arithmetic: of a number
  • Chinese Mandarin: 有理 (yǒulǐ) — arithmetic: of a number
  • Czech: racionální — arithmetic: of a number
  • Dutch: rationeel — arithmetic: of a number
  • Dutch: rationele — arithmetic: of a number
  • Finnish: rationaali- — arithmetic: of a number
  • French: rationnel — arithmetic: of a number
  • French: rationnelle — arithmetic: of a number
  • German: rational — arithmetic: of a number
  • Greek: ρητός (ritós) — arithmetic: of a number
  • Hindi: परिमेय (parimey) — arithmetic: of a number
  • Hungarian: racionális — arithmetic: of a number
  • Icelandic: ræður — arithmetic: of a number
  • Italian: razionale — arithmetic: of a number
  • Japanese: 有理の (yūri no) — arithmetic: of a number
  • Korean: 유리수 (yurisu) — arithmetic: of a number
  • Macedonian: рациона́лен (racionálen) — arithmetic: of a number
  • Polish: wymierny — arithmetic: of a number
  • Portuguese: racional — arithmetic: of a number
  • Romanian: rațional — arithmetic: of a number
  • Russian: рациона́льный (racionálʹnyj) — arithmetic: of a number
  • Serbo-Croatian: рационалан — arithmetic: of a number
  • Serbo-Croatian: racionalan — arithmetic: of a number
  • Spanish: racional — arithmetic: of a number
  • Swedish: rationell — arithmetic: of a number
  • Tagalog: tagwayin — arithmetic: of a number
  • Ukrainian: раціона́льний (racionálʹnyj) — arithmetic: of a number
  • Armenian: ռացիոնալ (ṙacʻional) — arithmetic: of an algebraic expression
  • Bulgarian: рационален (racionalen) — arithmetic: of an algebraic expression
  • Chinese Mandarin: 有理 (yǒulǐ) — arithmetic: of an algebraic expression
  • Finnish: rationaali- — arithmetic: of an algebraic expression
  • German: rational — arithmetic: of an algebraic expression
  • Greek: ρητός (ritós) — arithmetic: of an algebraic expression
  • Hindi: परिमेय (parimey) — arithmetic: of an algebraic expression
  • Icelandic: ræður — arithmetic: of an algebraic expression
  • Japanese: 有理の (yūri no) — arithmetic: of an algebraic expression
  • Macedonian: рациона́лен (racionálen) — arithmetic: of an algebraic expression
  • Portuguese: racional — arithmetic: of an algebraic expression
  • Russian: рациона́льный (racionálʹnyj) — arithmetic: of an algebraic expression
  • Serbo-Croatian: рационалан — arithmetic: of an algebraic expression
  • Serbo-Croatian: racionalan — arithmetic: of an algebraic expression
  • Spanish: racional — arithmetic: of an algebraic expression
  • Tagalog: matwirin — arithmetic: of an algebraic expression
  • Ukrainian: раціона́льний (racionálʹnyj) — arithmetic: of an algebraic expression
Real reading context

rational in complete knowledge articles