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In a vector space, the additive inverse −v (often called the opposite vector of v) has the same magnitude as v and but the opposite direction. [9] In modular arithmetic, the modular additive inverse of x is the number a such that a + x ≡ 0 (mod n) and always exists. For example, the inverse of 3 modulo 11 is 8, as 3 + 8 ≡ 0 (mod 11). [10]
A number line from −3 to 3, with 0 in the middle. The number 0 is the smallest nonnegative integer, and the largest nonpositive integer. The natural number following 0 is 1 and no natural number precedes 0. The number 0 may or may not be considered a natural number, [70] [71] but it is an integer, and hence a rational number and a real number ...
In arithmetic, +0 and −0 both denote the same number 0. ... An angle which is the negative of a given angle has an equal arc, but the opposite axis. [5]
Such a number is algebraic and can be expressed as the sum of a rational number and the square root of a rational number. Constructible number: A number representing a length that can be constructed using a compass and straightedge. Constructible numbers form a subfield of the field of algebraic numbers, and include the quadratic surds.
In mathematics, a negative number is the opposite (mathematics) of a positive real number. [1] Equivalently, a negative number is a real number that is less than zero. Negative numbers are often used to represent the magnitude of a loss or deficiency. A debt that is owed may be thought of as a negative asset.
The letter "o" ("oh") is also used in spoken English as the name of the number 0 when saying times in the 24-hour clock, particularly in English used by both British and American military forces. Thus 16:05 is "sixteen oh five", and 08:30 is "oh eight thirty". [25] The use of O as a number can lead to confusion as in the ABO blood group system ...
In Unicode, slashed zero is considered a typographic variation of the Arabic digit zero 0, which is code point U+0030.Since nearly all software requires each base-10 digit to have only a single, unique semantic representation, Unicode defines no code point (other than U+0030) for altering the visual appearance of zero.
The first ordinal number that is not a natural number is expressed as ω; this is also the ordinal number of the set of natural numbers itself. The least ordinal of cardinality ℵ 0 (that is, the initial ordinal of ℵ 0) is ω but many well-ordered sets with cardinal number ℵ 0 have an ordinal number greater than ω.