Skip to main content

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).

Cite this article
Pick a style below, and copy the text for your bibliography.

  • MLA
  • Chicago
  • APA

"subtraction." The Columbia Encyclopedia, 6th ed.. . Encyclopedia.com. 23 Apr. 2017 <http://www.encyclopedia.com>.

"subtraction." The Columbia Encyclopedia, 6th ed.. . Encyclopedia.com. (April 23, 2017). http://www.encyclopedia.com/reference/encyclopedias-almanacs-transcripts-and-maps/subtraction

"subtraction." The Columbia Encyclopedia, 6th ed.. . Retrieved April 23, 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.

Cite this article
Pick a style below, and copy the text for your bibliography.

  • MLA
  • Chicago
  • APA

"subtract." The Oxford Pocket Dictionary of Current English. . Encyclopedia.com. 23 Apr. 2017 <http://www.encyclopedia.com>.

"subtract." The Oxford Pocket Dictionary of Current English. . Encyclopedia.com. (April 23, 2017). http://www.encyclopedia.com/humanities/dictionaries-thesauruses-pictures-and-press-releases/subtract-0

"subtract." The Oxford Pocket Dictionary of Current English. . Retrieved April 23, 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-.

Cite this article
Pick a style below, and copy the text for your bibliography.

  • MLA
  • Chicago
  • APA

"subtract." The Concise Oxford Dictionary of English Etymology. . Encyclopedia.com. 23 Apr. 2017 <http://www.encyclopedia.com>.

"subtract." The Concise Oxford Dictionary of English Etymology. . Encyclopedia.com. (April 23, 2017). http://www.encyclopedia.com/humanities/dictionaries-thesauruses-pictures-and-press-releases/subtract-1

"subtract." The Concise Oxford Dictionary of English Etymology. . Retrieved April 23, 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

Cite this article
Pick a style below, and copy the text for your bibliography.

  • MLA
  • Chicago
  • APA

"subtract." Oxford Dictionary of Rhymes. . Encyclopedia.com. 23 Apr. 2017 <http://www.encyclopedia.com>.

"subtract." Oxford Dictionary of Rhymes. . Encyclopedia.com. (April 23, 2017). http://www.encyclopedia.com/humanities/dictionaries-thesauruses-pictures-and-press-releases/subtract

"subtract." Oxford Dictionary of Rhymes. . Retrieved April 23, 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

Cite this article
Pick a style below, and copy the text for your bibliography.

  • MLA
  • Chicago
  • APA

"subtraction." Oxford Dictionary of Rhymes. . Encyclopedia.com. 23 Apr. 2017 <http://www.encyclopedia.com>.

"subtraction." Oxford Dictionary of Rhymes. . Encyclopedia.com. (April 23, 2017). http://www.encyclopedia.com/humanities/dictionaries-thesauruses-pictures-and-press-releases/subtraction

"subtraction." Oxford Dictionary of Rhymes. . Retrieved April 23, 2017 from Encyclopedia.com: http://www.encyclopedia.com/humanities/dictionaries-thesauruses-pictures-and-press-releases/subtraction