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subtraction

subtraction, fundamental operation of arithmetic; the inverse of addition. If a and b are real numbers (see number), then the number a-b is that number (called the difference) which when added to b (the subtractor) equals a (the subtrahend). In terms of addition the symbol -b is called the additive inverse of b with the property that the sum of a number and its inverse equals 0, or b+(-b)=0. It follows that -(-b)=b. The subtraction of b from a is the same as the addition of a and the inverse of b, or a-b=a+(-b); e.g., when a=10 and b=5, then 10-5=10+(-5).

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"subtraction." The Columbia Encyclopedia, 6th ed.. . Encyclopedia.com. 25 Jun. 2017 <http://www.encyclopedia.com>.

"subtraction." The Columbia Encyclopedia, 6th ed.. . Encyclopedia.com. (June 25, 2017). http://www.encyclopedia.com/reference/encyclopedias-almanacs-transcripts-and-maps/subtraction

"subtraction." The Columbia Encyclopedia, 6th ed.. . Retrieved June 25, 2017 from Encyclopedia.com: http://www.encyclopedia.com/reference/encyclopedias-almanacs-transcripts-and-maps/subtraction

subtract

sub·tract / səbˈtrakt/ • v. [tr.] take away (a number or amount) from another to calculate the difference: subtract 43 from 60. ∎  take away (something) from something else so as to decrease the size, number, or amount: programs were added and subtracted as called for. DERIVATIVES: sub·tract·er n. sub·trac·tive / -tiv/ adj.

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"subtract." The Oxford Pocket Dictionary of Current English. . Encyclopedia.com. 25 Jun. 2017 <http://www.encyclopedia.com>.

"subtract." The Oxford Pocket Dictionary of Current English. . Encyclopedia.com. (June 25, 2017). http://www.encyclopedia.com/humanities/dictionaries-thesauruses-pictures-and-press-releases/subtract-0

"subtract." The Oxford Pocket Dictionary of Current English. . Retrieved June 25, 2017 from Encyclopedia.com: http://www.encyclopedia.com/humanities/dictionaries-thesauruses-pictures-and-press-releases/subtract-0

subtract

subtract †withdraw; deduct. XVI. f. subtract-, pp. stem of L. subtrahere, f. SUB- + trahere draw.
So subtraction †withdrawal XIV; taking of one quantity from another XV. — late L. subtractiō, -ōn-.

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"subtract." The Concise Oxford Dictionary of English Etymology. . Encyclopedia.com. 25 Jun. 2017 <http://www.encyclopedia.com>.

"subtract." The Concise Oxford Dictionary of English Etymology. . Encyclopedia.com. (June 25, 2017). http://www.encyclopedia.com/humanities/dictionaries-thesauruses-pictures-and-press-releases/subtract-1

"subtract." The Concise Oxford Dictionary of English Etymology. . Retrieved June 25, 2017 from Encyclopedia.com: http://www.encyclopedia.com/humanities/dictionaries-thesauruses-pictures-and-press-releases/subtract-1

subtract

subtractabreact, abstract, act, attract, bract, compact, contract, counteract, diffract, enact, exact, extract, fact, humpbacked, hunchbacked, impact, interact, matter-of-fact, pact, protract, redact, refract, retroact, subcontract, subtract, tact, tract, transact, unbacked, underact, untracked •play-act • autodidact •artefact (US artifact) • cataract •contact •marked, unremarked •Wehrmacht •affect, bisect, bull-necked, collect, confect, connect, correct, defect, deflect, deject, detect, direct, effect, eject, elect, erect, expect, infect, inflect, inject, inspect, interconnect, interject, intersect, misdirect, neglect, object, perfect, project, prospect, protect, reflect, reject, respect, resurrect, sect, select, subject, suspect, transect, unchecked, Utrecht •prefect • abject • retroject • intellect •genuflect • idiolect • dialect • aspect •circumspect • retrospect • Dordrecht •vivisect • architect • unbaked •sun-baked

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"subtract." Oxford Dictionary of Rhymes. . Encyclopedia.com. 25 Jun. 2017 <http://www.encyclopedia.com>.

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"subtract." Oxford Dictionary of Rhymes. . Retrieved June 25, 2017 from Encyclopedia.com: http://www.encyclopedia.com/humanities/dictionaries-thesauruses-pictures-and-press-releases/subtract

subtraction

subtractionashen, fashion, passion, ration •abstraction, action, attraction, benefaction, compaction, contraction, counteraction, diffraction, enaction, exaction, extraction, faction, fraction, interaction, liquefaction, malefaction, petrifaction, proaction, protraction, putrefaction, redaction, retroaction, satisfaction, stupefaction, subtraction, traction, transaction, tumefaction, vitrifaction •expansion, mansion, scansion, stanchion •sanction •caption, contraption •harshen, Martian •cession, discretion, freshen, session •abjection, affection, circumspection, collection, complexion, confection, connection, convection, correction, defection, deflection, dejection, detection, direction, ejection, election, erection, genuflection, imperfection, infection, inflection, injection, inspection, insurrection, interconnection, interjection, intersection, introspection, lection, misdirection, objection, perfection, predilection, projection, protection, refection, reflection, rejection, resurrection, retrospection, section, selection, subjection, transection, vivisection •exemption, pre-emption, redemption •abstention, apprehension, ascension, attention, circumvention, comprehension, condescension, contention, contravention, convention, declension, detention, dimension, dissension, extension, gentian, hypertension, hypotension, intention, intervention, invention, mention, misapprehension, obtention, pension, prehension, prevention, recension, retention, subvention, supervention, suspension, tension •conception, contraception, deception, exception, inception, interception, misconception, perception, reception •Übermenschen • subsection •ablation, aeration, agnation, Alsatian, Amerasian, Asian, aviation, cetacean, citation, conation, creation, Croatian, crustacean, curation, Dalmatian, delation, dilation, donation, duration, elation, fixation, Galatian, gyration, Haitian, halation, Horatian, ideation, illation, lavation, legation, libation, location, lunation, mutation, natation, nation, negation, notation, nutation, oblation, oration, ovation, potation, relation, rogation, rotation, Sarmatian, sedation, Serbo-Croatian, station, taxation, Thracian, vacation, vexation, vocation, zonation •accretion, Capetian, completion, concretion, deletion, depletion, Diocletian, excretion, Grecian, Helvetian, repletion, Rhodesian, secretion, suppletion, Tahitian, venetian •academician, addition, aesthetician (US esthetician), ambition, audition, beautician, clinician, coition, cosmetician, diagnostician, dialectician, dietitian, Domitian, edition, electrician, emission, fission, fruition, Hermitian, ignition, linguistician, logician, magician, mathematician, Mauritian, mechanician, metaphysician, mission, monition, mortician, munition, musician, obstetrician, omission, optician, paediatrician (US pediatrician), patrician, petition, Phoenician, physician, politician, position, rhetorician, sedition, statistician, suspicion, tactician, technician, theoretician, Titian, tuition, volition •addiction, affliction, benediction, constriction, conviction, crucifixion, depiction, dereliction, diction, eviction, fiction, friction, infliction, interdiction, jurisdiction, malediction, restriction, transfixion, valediction •distinction, extinction, intinction •ascription, circumscription, conscription, decryption, description, Egyptian, encryption, inscription, misdescription, prescription, subscription, superscription, transcription •proscription •concoction, decoction •adoption, option •abortion, apportion, caution, contortion, distortion, extortion, portion, proportion, retortion, torsion •auction •absorption, sorption •commotion, devotion, emotion, groschen, Laotian, locomotion, lotion, motion, notion, Nova Scotian, ocean, potion, promotion •ablution, absolution, allocution, attribution, circumlocution, circumvolution, Confucian, constitution, contribution, convolution, counter-revolution, destitution, dilution, diminution, distribution, electrocution, elocution, evolution, execution, institution, interlocution, irresolution, Lilliputian, locution, perlocution, persecution, pollution, prosecution, prostitution, restitution, retribution, Rosicrucian, solution, substitution, volution •cushion • resumption • München •pincushion •Belorussian, Prussian, Russian •abduction, conduction, construction, deduction, destruction, eduction, effluxion, induction, instruction, introduction, misconstruction, obstruction, production, reduction, ruction, seduction, suction, underproduction •avulsion, compulsion, convulsion, emulsion, expulsion, impulsion, propulsion, repulsion, revulsion •assumption, consumption, gumption, presumption •luncheon, scuncheon, truncheon •compunction, conjunction, dysfunction, expunction, function, junction, malfunction, multifunction, unction •abruption, corruption, disruption, eruption, interruption •T-junction • liposuction •animadversion, aspersion, assertion, aversion, Cistercian, coercion, conversion, desertion, disconcertion, dispersion, diversion, emersion, excursion, exertion, extroversion, immersion, incursion, insertion, interspersion, introversion, Persian, perversion, submersion, subversion, tertian, version •excerption

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"subtraction." Oxford Dictionary of Rhymes. . Encyclopedia.com. 25 Jun. 2017 <http://www.encyclopedia.com>.

"subtraction." Oxford Dictionary of Rhymes. . Encyclopedia.com. (June 25, 2017). http://www.encyclopedia.com/humanities/dictionaries-thesauruses-pictures-and-press-releases/subtraction

"subtraction." Oxford Dictionary of Rhymes. . Retrieved June 25, 2017 from Encyclopedia.com: http://www.encyclopedia.com/humanities/dictionaries-thesauruses-pictures-and-press-releases/subtraction