In mathematics, −1 (negative one or minus one) is the additive inverse of 1, that is, the number that when added to 1 gives the additive identity element, 0. It is the negative integer greater than negative two (−2) and less than 0.
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In mathematics, −1 (negative one) is the number that, when added to 1, equals 0, making it what mathematicians call the "additive inverse" of 1. It is a fundamental negative integer that sits between −2 and 0 on the number line and serves as a basic building block for understanding how negative numbers work in arithmetic.
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Key facts
- Number.number
- −1
- Number.divisor
- 1
- Number.cardinal
- −1, minus one,
- Number.ordinal
- −1st (negative first)
- Number.lang1
- Arabic
- Number.lang1 symbol
- −
- Number.lang2
- Chinese numeral
- Number.lang2 symbol
- 负一，负弌，负壹
- Number.lang3
- Bengali
- Number.lang3 symbol
- −
- Number.lang4
- Binary (byte)
- Number.lang5
- Hex (byte)
via Wikipedia infobox
Article
7 sectionsContents
- In mathematics
- Algebraic properties
- Inverse and invertible elements
- See also
- References
- Notes
- Sources
In mathematics, −1 (negative one or minus one) is the additive inverse of 1, that is, the number that when added to 1 gives the additive identity element, 0. It is the negative integer greater than negative two (−2) and less than 0.
== In mathematics == === Algebraic properties === Multiplying a number by −1 is equivalent to changing the sign of the number – that is, for any we have . This can be proved using the distributive law and the axiom that 1 is the multiplicative identity: . Here we have used the fact that any number times 0 equals 0, which follows by cancellation from the equation . In other words, , so is the additive inverse of , i.e. , as was to be shown.