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  2. 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 ...

  3. 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.

  4. Commensurability (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Commensurability_(mathematics)

    In mathematics, two non-zero real numbers a and b are said to be commensurable if their ratio ⁠ a / b ⁠ is a rational number; otherwise a and b are called incommensurable. (Recall that a rational number is one that is equivalent to the ratio of two integers.) There is a more general notion of commensurability in group theory.

  5. Algebraic number - Wikipedia

    en.wikipedia.org/wiki/Algebraic_number

    All rational numbers are algebraic. Any rational number, expressed as the quotient of an integer a and a (non-zero) natural number b, satisfies the above definition, because x = ⁠ a / b ⁠ is the root of a non-zero polynomial, namely bx − a.

  6. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    In mathematics a rational number is a number that can be represented by a fraction of the form ⁠ a / b ⁠, where a and b are integers and b is not zero; the set of all rational numbers is commonly represented by the symbol ⁠ ⁠ or Q, which stands for quotient.

  7. Normalized number - Wikipedia

    en.wikipedia.org/wiki/Normalized_number

    That is, its leading digit (i.e., leftmost) is not zero and is followed by the decimal point. Simply speaking, a number is normalized when it is written in the form of a × 10 n where 1 ≤ |a| < 10 without leading zeros in a. This is the standard form of scientific notation. An alternative style is to have the first non-zero digit after the ...

  8. Number - Wikipedia

    en.wikipedia.org/wiki/Number

    A rational number is a number that can be expressed as a fraction with an integer numerator and a positive integer denominator. ... the last non-zero digit may be ...

  9. Numeral system - Wikipedia

    en.wikipedia.org/wiki/Numeral_system

    Not all number systems can represent the same set of numbers; for example, Roman numerals cannot represent the number zero. Ideally, a numeral system will: Represent a useful set of numbers (e.g. all integers, or rational numbers) Give every number represented a unique representation (or at least a standard representation)