Definitions for additive inverse
ad·di·tive in·verse

Princeton's WordNetRate this definition:0.0 / 0 votes

1. additive inversenoun

   (mathematics) one of a pair of numbers whose sum is zero; the additive inverse of -5 is +5

WiktionaryRate this definition:4.0 / 3 votes

1. additive inversenoun

   The inverse with respect to addition; the opposite.

2. Etymology: So called because the sum of a number and its additive inverse is the additive identity.

WikipediaRate this definition:0.0 / 0 votes

1. Additive inverse

   In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite (number), sign change, and negation. For a real number, it reverses its sign: the additive inverse (opposite number) of a positive number is negative, and the additive inverse of a negative number is positive. Zero is the additive inverse of itself. The additive inverse of a is denoted by unary minus: −a (see also § Relation to subtraction below). For example, the additive inverse of 7 is −7, because 7 + (−7) = 0, and the additive inverse of −0.3 is 0.3, because −0.3 + 0.3 = 0. Similarly, the additive inverse of a − b is −(a − b) which can be simplified to b − a. The additive inverse of 2x − 3 is 3 − 2x, because 2x − 3 + 3 − 2x = 0.The additive inverse is defined as its inverse element under the binary operation of addition (see also § Formal definition below), which allows a broad generalization to mathematical objects other than numbers. As for any inverse operation, double additive inverse has no net effect: −(−x) = x.

ChatGPTRate this definition:0.0 / 0 votes

1. additive inverse

   The additive inverse of a number is the opposite of that number such that, when added together, the sum is zero. For example, the additive inverse of 5 is -5. This is because when added together (5 + -5) the result is zero. This concept is applicable for all real numbers including integers, fractions, irrational numbers, etc.

WikidataRate this definition:5.0 / 2 votes

1. Additive inverse

   In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This operation is also known as the opposite, sign change, and negation. For a real number, it reverses its sign: the opposite to a positive number is negative, and the opposite to a negative number is positive. Zero is the additive inverse of itself. The additive inverse of a is denoted by unary minus: −a. For example, the additive inverse of 7 is −7, because 7 + = 0, and the additive inverse of −0.3 is 0.3, because −0.3 + 0.3 = 0 . The additive inverse is defined as its inverse element under the binary operation of addition, which allows a broad generalization to mathematical objects other than numbers. As for any inverse operation, double additive inverse has no effect: − = x. 8

Matched Categories

1. • Inverse
   • Math

How to pronounce additive inverse?

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How to say additive inverse in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of additive inverse in Chaldean Numerology is: 8

2. Pythagorean Numerology

   The numerical value of additive inverse in Pythagorean Numerology is: 4

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=additive inverse
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Additive_Inverse
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Additive_Inverse
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=additive inverse