"additive inverse" meaning in English

See additive inverse in All languages combined, or Wiktionary

Noun

IPA: /ˌæd.ɪ.tɪv ˈɪn.vɜːs/ [UK], /ˌæd.ə.t̬ɪv ˈɪn.vɝːs/ [US] Forms: additive inverses [plural]
Etymology: So called because the sum of a number and its additive inverse is the additive identity. Head templates: {{en-noun}} additive inverse (plural additive inverses)
  1. (mathematics) The inverse with respect to addition; the opposite. Categories (topical): Mathematics Synonyms (inverse with respect to addition): negative [colloquial], opposite Related terms: additive identity, multiplicative inverse Translations (mathematical term): vastaluku (Finnish), additives Inverses [neuter] (German), Gegenzahl [feminine] (German), liczba przeciwna [feminine] (Polish), elemento inverso [masculine] (Portuguese)

Inflected forms

{
  "etymology_text": "So called because the sum of a number and its additive inverse is the additive identity.",
  "forms": [
    {
      "form": "additive inverses",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "additive inverse (plural additive inverses)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
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          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
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        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Finnish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with German translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Polish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Portuguese translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "The additive inverse of 12 is −12."
        }
      ],
      "glosses": [
        "The inverse with respect to addition; the opposite."
      ],
      "id": "en-additive_inverse-en-noun-8JoTNN5I",
      "links": [
        [
          "Wikipedia",
          "Wikipedia"
        ],
        [
          "additive inverse",
          "w:additive inverse"
        ],
        [
          "mathematics",
          "mathematics"
        ],
        [
          "inverse",
          "inverse"
        ],
        [
          "addition",
          "addition"
        ],
        [
          "opposite",
          "opposite"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The inverse with respect to addition; the opposite."
      ],
      "related": [
        {
          "word": "additive identity"
        },
        {
          "word": "multiplicative inverse"
        }
      ],
      "synonyms": [
        {
          "sense": "inverse with respect to addition",
          "tags": [
            "colloquial"
          ],
          "word": "negative"
        },
        {
          "sense": "inverse with respect to addition",
          "word": "opposite"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "mathematical term",
          "word": "vastaluku"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "mathematical term",
          "tags": [
            "neuter"
          ],
          "word": "additives Inverses"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "mathematical term",
          "tags": [
            "feminine"
          ],
          "word": "Gegenzahl"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "mathematical term",
          "tags": [
            "feminine"
          ],
          "word": "liczba przeciwna"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "mathematical term",
          "tags": [
            "masculine"
          ],
          "word": "elemento inverso"
        }
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˌæd.ɪ.tɪv ˈɪn.vɜːs/",
      "tags": [
        "UK"
      ]
    },
    {
      "ipa": "/ˌæd.ə.t̬ɪv ˈɪn.vɝːs/",
      "tags": [
        "US"
      ]
    }
  ],
  "word": "additive inverse"
}
{
  "etymology_text": "So called because the sum of a number and its additive inverse is the additive identity.",
  "forms": [
    {
      "form": "additive inverses",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "additive inverse (plural additive inverses)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "additive identity"
    },
    {
      "word": "multiplicative inverse"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with Finnish translations",
        "Terms with German translations",
        "Terms with Polish translations",
        "Terms with Portuguese translations",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "The additive inverse of 12 is −12."
        }
      ],
      "glosses": [
        "The inverse with respect to addition; the opposite."
      ],
      "links": [
        [
          "Wikipedia",
          "Wikipedia"
        ],
        [
          "additive inverse",
          "w:additive inverse"
        ],
        [
          "mathematics",
          "mathematics"
        ],
        [
          "inverse",
          "inverse"
        ],
        [
          "addition",
          "addition"
        ],
        [
          "opposite",
          "opposite"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The inverse with respect to addition; the opposite."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˌæd.ɪ.tɪv ˈɪn.vɜːs/",
      "tags": [
        "UK"
      ]
    },
    {
      "ipa": "/ˌæd.ə.t̬ɪv ˈɪn.vɝːs/",
      "tags": [
        "US"
      ]
    }
  ],
  "synonyms": [
    {
      "sense": "inverse with respect to addition",
      "tags": [
        "colloquial"
      ],
      "word": "negative"
    },
    {
      "sense": "inverse with respect to addition",
      "word": "opposite"
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "mathematical term",
      "word": "vastaluku"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "mathematical term",
      "tags": [
        "neuter"
      ],
      "word": "additives Inverses"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "mathematical term",
      "tags": [
        "feminine"
      ],
      "word": "Gegenzahl"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "mathematical term",
      "tags": [
        "feminine"
      ],
      "word": "liczba przeciwna"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "mathematical term",
      "tags": [
        "masculine"
      ],
      "word": "elemento inverso"
    }
  ],
  "word": "additive inverse"
}

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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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