## 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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## 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

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

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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## 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