IRRATIONAL vs RATIONAL: NOUN
- In mathematics, an irrational number, that is, the mark of a cut which separates all rational numbers into two classes, the first having no greatest number, the second no least.
- An irrational number.
- A prime number.
- That which is devoid of reason, as one of the lower animals.
- A real number that can not be expressed as the quotient of two integers, an irrational number.
- A rational number.
- One who is a believer in so-called ‘rational’ reforms, as in dress or food.
- A quiddity; a universal; a. nature.
- Eccles.:
- The breastplate of the Jewish high-priest.
- Hence— A square plate of gold, silver, or embroidery, either jeweled or enameled, formerly worn on the breast over the chasuble by bishops during the celebration of mass. Also pectoral and rationale in both senses.
- A rational being.
- A rational number: a number that can be expressed as the quotient of two integers.
- An integer or a fraction
- In mathematics, a rational number.
IRRATIONAL vs RATIONAL: ADJECTIVE
- Of a real number, that cannot be written as the ratio of two integers.
- Not capable of being exactly expressed by an integral number, nor by a ratio of integral numbers; surd; -- said especially of roots. See Surd.
- Not according to reason; having no rational basis; clearly contrary to reason; easily disproved by reasoning; absurd; -- of assertions and beliefs.
- Not rational; void of reason or understanding.
- Not endowed with reason.
- Real but not expressible as the quotient of two integers
- Not rational; unfounded or nonsensical.
- Being a metric foot containing such a syllable.
- Of or relating to an irrational number.
- Being a syllable in Greek and Latin prosody whose length does not fit the metric pattern.
- Marked by a lack of accord with reason or sound judgment.
- Affected by loss of usual or normal mental clarity; incoherent, as from shock.
- Not consistent with or using reason
- Consistent with or based on reason or good judgment; logical or sensible.
- Having or exercising the ability to reason. : logical.
- Of or associated with or requiring the use of the mind
- Capable of being expressed as a quotient of integers
- Consistent with or based on or using reason
- Having its source in or being guided by the intellect (distinguished from experience or emotion)
- Healthy or balanced intellectually; exhibiting reasonableness.
- Of a number, capable of being expressed as the ratio of two integers.
- Of an algebraic expression, capable of being expressed as the ratio of two polynomials.
- Relating to the reason; not physical; mental.
- Having reason, or the faculty of reasoning; endowed with reason or understanding; reasoning.
- Agreeable to reason; not absurd, preposterous, extravagant, foolish, fanciful, or the like; wise; judicious
- Of sound mind; sane.
- See Horizon, 2 (b).
- One that can be expressed without the use of a radical sign, or in exact parts of unity; -- opposed to irrational or radical quantity.
- One elicited by the statements of the patient himself and not as the result of a physical examination.
- Capable of reasoning.
- Logically sound; not contradictory or otherwise absurd.
- Expressing the type, structure, relations, and reactions of a compound; graphic; -- said of formulæ. See under Formula.
IRRATIONAL vs RATIONAL: OTHER WORD TYPES
- Without the quality of reason; contrary to reason; illogical; unreasonable: as, irrational motives; an irrational project.
- Not rational; without the faculty of reason; void of understanding; unreasoning.
- In Greek prosody, incapable of measurement in terms of the fundamental or primary time or metrical unit.
- In algebra, noting a quantity involving a variable raised to a fractional power; or. in a wider sense, noting a quantity not rational, not a sum of products of constants and of variables into one another or into themselves.
- In translations of Euclid, and cognate writings, at once incommensurable with the assumed unit and not having its square commensurable with that of the unit. This is the peculiar meaning given by Euclid to α%27λογος, though Plato uses it in sense , above.
- In mathematics: In arithmetic, not capable of being exactly expressed by a vulgar fraction, proper or improper; surd.
- Knowledge springing directly or indirectly from reason, and not from experience.
- The limits of rational knowledge.
- The union of several objects so far as they are brought together into or under one concept.
- The composition of elements which only differ as viewed by the mind, and not as they exist, as the composition of essence and existence, of being and relation, etc.
- In ancient prosody, capable of measurement in terms of the metrical unit (semeion or mora).
- In Euclid's “Elements” and commentaries, etc., on that work, commensurable with a given line.
- Synonyms Rational, Reasonable, sensible, enlightened, discreet, intelligent, sane, sound. The first two words are somewhat different, according as they refer to persons or things. As to persons, rational is the more speculative, reasonable the more practical term; rational means possessing the faculty of reason, while reasonable means exercising reason in its broader sense, in opposition to unreasonable—that is, guided by prejudice, fancy, etc. In fever the patient may become irrational and give irrational answers; when he is rational he may through weakness and fretfulness make unreasonable demands of his physician. As to things, the distinction continues between the narrower and the broader senses: a rational proposition is one that might proceed from a rational mind; a reasonable proposition is one that is marked by common sense and fairness. It is irrational to look for a coal-mine in a granite-ledge; it is unreasonable to expect good work for poor pay. See absurd.
- Conformable to the precepts of reason, especially of the practical reason; reasonable; wise.
- Endowed with reason, in the sense of that faculty which distinguishes man from the brutes: as, man is a rational animal.
- Of, pertaining to, or springing from the reason, in the sense of the highest faculty of cognition.
- In arithmetic and algebra:
- Expressible in finite terms: applied to expressions in which no extraction of a root is left, or, at least, none such indicated which cannot be actually performed by known processes.
IRRATIONAL vs RATIONAL: RELATED WORDS
- Unjustified, Irresponsible, Perverse, Insane, Rational, Illogical, Reasonless, Yellow, Blind, Jaundiced, Superstitious, Incoherent, Unreasoning, Unreasonable, Nonrational
- Illogical, Reasoned, Sensible, Irrational, Demythologized, Mental, Thinking, Lucid, Intellectual, Coherent, Intelligent, Reasoning, Logical, Reasonable, Sane
IRRATIONAL vs RATIONAL: DESCRIBE WORDS
- Unjustified, Irresponsible, Perverse, Insane, Rational, Illogical, Reasonless, Yellow, Blind, Jaundiced, Superstitious, Incoherent, Unreasoning, Unreasonable, Nonrational
- Prudent, Justifiable, Illogical, Reasoned, Sensible, Irrational, Demythologized, Mental, Lucid, Intellectual, Coherent, Intelligent, Logical, Reasonable, Sane
IRRATIONAL vs RATIONAL: SENTENCE EXAMPLES
- So is there a magic answer about what exactly makes us irrational, and how those solutions designed for irrational humans are different?
- When two irrational numbers are multiplied or divided, the product is sometimes rational and sometimes irrational.
- When an irrational number and a rational number are added or subtracted, the sum is irrational.
- The product of a rational number and an irrational number is SOMETIMES irrational.
- When the square root of an irrational number is taken, does it have to be irrational?
- Irrational love and irrational hate jostling together in the heart of that tormented man.
- The product of two irrational numbers, in some cases, will be irrational.
- Prove or disprove that the product of two irrational numbers is irrational.
- Predictably Irrational, behavioral economist Dan Ariely claims that irrational.
- The sum of an irrational number and an irrational number is irrational.
- Free Rational numbers rational numbers printable math worksheet for your students.
- Rational actors and rational fools: The influence of affect onjudgment and decision making.
- Rational Dialectics Theory: This theory suggest that rational life is always in process.
- Contrary to popular opinion, not all thinking is rational, at least as we would define rational.
- Rational expressions a Rational expression with be positive and negative integers clearing fractions using the of.
- Graphing General Rational Functions Worksheets This Rational Expressions worksheet will produce problems for for graphing general rational functions.
- Overview; Simplify rational expression; Multiply rational expressions; Division.
- Rewarded with denominator are rational number measurements of rational irrational worksheet pdf files on rational number line diagram illustrates the language and all.
- Students are asked to define a rational number and then explain why the product of two rational numbers is rational.
- In other words, rational choice theory assumes every decision must be rational because people are rational.
IRRATIONAL vs RATIONAL: QUESTIONS
- Did the Pythagoreans believe in irrational numbers?
- Why were irrational numbers introduced in mathematics?
- Do religious motivated terrorists propagate irrational violence?
- What operations are irrational numbers closed under?
- Should irrational exuberance be compulsory reading?
- Are irrational numbers closed under multiplication?
- Why do abolitionists consider punishment irrational?
- Can dividing an irrational number by another irrational number be an integer?
- What is the sum of two irrational numbers always irrational?
- Is the product of two irrational numbers always an irrational?
- Do rational expectations explain policy ineffectiveness?
- Is the recognition heuristic ecologically rational?
- Is a more rational society better than a less rational society?
- How to rewrite rational expressions as equivalent rational expressions?
- Are You a rational thinker or a highly rational chess player?
- What is the latest version of using rational doors for Rational Rose?
- Can I upgrade Rational DOORS to integrate with IBM Rational Quality Manager?
- When did Rational Rhapsody become Rational Software?
- Why is the ratio of two rational numbers not rational?
- Do you leave rational expression in rational inequalities?