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  2. Division by zero - Wikipedia

    en.wikipedia.org/wiki/Division_by_zero

    According to Brahmagupta, A positive or negative number when divided by zero is a fraction with the zero as denominator. Zero divided by a negative or positive number is either zero or is expressed as a fraction with zero as numerator and the finite quantity as denominator. Zero divided by zero is zero.

  3. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    Because of the rules of division of signed numbers (which states in part that negative divided by positive is negative), − ⁠ 1 / 2 ⁠, ⁠ −1 / 2 ⁠ and ⁠ 1 / −2 ⁠ all represent the same fraction – negative one-half. And because a negative divided by a negative produces a positive, ⁠ −1 / −2 ⁠ represents positive one-half.

  4. Negative number - Wikipedia

    en.wikipedia.org/wiki/Negative_number

    Negative number. This thermometer is indicating a negative Fahrenheit temperature (−4 °F). In mathematics, a negative number represents an opposite. [1] In the real number system, a negative number is a number that is less than zero. Negative numbers are often used to represent the magnitude of a loss or deficiency.

  5. Division by infinity - Wikipedia

    en.wikipedia.org/wiki/Division_by_infinity

    The hyperbola = /.As approaches ∞, approaches 0.. In mathematics, division by infinity is division where the divisor (denominator) is ∞.In ordinary arithmetic, this does not have a well-defined meaning, since ∞ is a mathematical concept that does not correspond to a specific number, and moreover, there is no nonzero real number that, when added to itself an infinite number of times ...

  6. Negative probability - Wikipedia

    en.wikipedia.org/wiki/Negative_probability

    Negative energies and probabilities should not be considered as nonsense. They are well-defined concepts mathematically, like a negative of money. The idea of negative probabilities later received increased attention in physics and particularly in quantum mechanics. Richard Feynman argued [2] that no one objects to using negative numbers in ...

  7. Rational number - Wikipedia

    en.wikipedia.org/wiki/Rational_number

    In mathematics, a rational number is a number that can be expressed as the quotient or fraction ⁠ ⁠ of two integers, a numerator p and a non-zero denominator q. [1] For example, ⁠ ⁠ is a rational number, as is every integer (e.g., ). The set of all rational numbers, also referred to as " the rationals ", [2] the field of rationals[3] or ...

  8. Additive inverse - Wikipedia

    en.wikipedia.org/wiki/Additive_inverse

    In mathematics, the additive inverse of an element x, denoted -x[1], is the element that when added to x, yields the additive identity, 0 [2]. In the most familiar cases, this is the number 0, but it can also refer to a more generalized zero element. In elementary mathematics, the additive inverse is often referred to as the opposite number [3][4].

  9. Transcendental number - Wikipedia

    en.wikipedia.org/wiki/Transcendental_number

    In other words, the n th digit of this number is 1 only if n is one of the numbers 1! = 1, 2! = 2, 3! = 6, 4! = 24, etc. Liouville showed that this number belongs to a class of transcendental numbers that can be more closely approximated by rational numbers than can any irrational algebraic number, and this class of numbers are called Liouville ...

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