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Additive inverse

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  • additive inverse — the number that must be added to a number to equal zero [−5 is the additive inverse of 5] …   English World dictionary

  • Additive inverse — In mathematics, the additive inverse, or opposite, of a number a is the number that, when added to a, yields zero. The additive inverse of a is denoted −a. For example, the additive inverse of 7 is −7, because 7 + (−7) = 0, and the additive… …   Wikipedia

  • additive inverse — noun (mathematics) one of a pair of numbers whose sum is zero; the additive inverse of 5 is +5 • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑inverse, ↑opposite * * * noun …   Useful english dictionary

  • additive inverse — noun The inverse with respect to addition; the opposite. The additive inverse of 12 is −12. Syn: negative, opposite …   Wiktionary

  • additive inverse — noun Date: 1953 a number that when added to a given number gives zero < the additive inverse of 4 is 4 > compare opposite 3 …   New Collegiate Dictionary

  • additive inverse — Math. the number in the set of real numbers that when added to a given number will yield zero: The additive inverse of 2 is 2. [1955 60] * * * …   Universalium

  • Additive — may refer to:* Additive function, a function which preserves addition * Additive inverse, an arithmetic concept * Additive category, a preadditive category with finite biproducts * Additive rhythm, a larger period of time constructed from smaller …   Wikipedia

  • Inverse (mathematics) — Inverse is the opposite of something. This word and its derivatives are used greatly in mathematics, as illustrated below. * Inverse element of an element x with respect to a binary operation * with identity element e is an element y such that x… …   Wikipedia

  • Additive category — In mathematics, specifically in category theory, an additive category is a preadditive category C such that any finitely many objects A 1,..., A n of C have a biproduct A 1 ⊕ ⋯ ⊕ A n in C. (Recall that a category C is preadditive if all its… …   Wikipedia

  • Additive identity — In mathematics the additive identity of a set which is equipped with the operation of addition is an element which, when added to any element x in the set, yields x . One of the most familiar additive identities is the number 0 from elementary… …   Wikipedia

  • Inverse element — In abstract algebra, the idea of an inverse element generalises the concept of a negation, in relation to addition, and a reciprocal, in relation to multiplication. The intuition is of an element that can undo the effect of combination with… …   Wikipedia