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  2. List of types of numbers - Wikipedia

    en.wikipedia.org/wiki/List_of_types_of_numbers

    Negative numbers: Real numbers that are less than zero. Because zero itself has no sign, neither the positive numbers nor the negative numbers include zero. When zero is a possibility, the following terms are often used: Non-negative numbers: Real numbers that are greater than or equal to zero. Thus a non-negative number is either zero or positive.

  3. Integer - Wikipedia

    en.wikipedia.org/wiki/Integer

    In algebraic number theory, the integers are sometimes qualified as rational integers to distinguish them from the more general algebraic integers. In fact, (rational) integers are algebraic integers that are also rational numbers .

  4. Rational number - Wikipedia

    en.wikipedia.org/wiki/Rational_number

    In mathematics, "rational" is often used as a noun abbreviating "rational number". The adjective rational sometimes means that the coefficients are rational numbers. For example, a rational point is a point with rational coordinates (i.e., a point whose coordinates are rational numbers); a rational matrix is a matrix of rational numbers; a rational polynomial may be a polynomial with rational ...

  5. Natural number - Wikipedia

    en.wikipedia.org/wiki/Natural_number

    Many other number sets are built from the natural numbers. For example, the integers are made by adding 0 and negative numbers. The rational numbers add fractions, and the real numbers add infinite decimals. Complex numbers add the square root of −1. This chain of extensions canonically embeds the natural numbers in the other number systems ...

  6. Category:Rational numbers - Wikipedia

    en.wikipedia.org/wiki/Category:Rational_numbers

    This category represents all rational numbers, that is, those real numbers which can be represented in the form: ...where and are integers and is not equal to zero. All integers are rational, including zero.

  7. Negative number - Wikipedia

    en.wikipedia.org/wiki/Negative_number

    the product of a negative number—al-nāqiṣ (loss)—by a positive number—al-zāʾid (gain)—is negative, and by a negative number is positive. If we subtract a negative number from a higher negative number, the remainder is their negative difference. The difference remains positive if we subtract a negative number from a lower negative ...

  8. p-adic number - Wikipedia

    en.wikipedia.org/wiki/P-adic_number

    The 3-adic integers, with selected corresponding characters on their Pontryagin dual group. In number theory, given a prime number p, [note 1] the p-adic numbers form an extension of the rational numbers which is distinct from the real numbers, though with some similar properties; p-adic numbers can be written in a form similar to (possibly infinite) decimals, but with digits based on a prime ...

  9. Algebraic number theory - Wikipedia

    en.wikipedia.org/wiki/Algebraic_number_theory

    Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations. Number-theoretic questions are expressed in terms of properties of algebraic objects such as algebraic number fields and their rings of integers , finite fields , and function fields .

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