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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. Exercise (mathematics) - Wikipedia

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

    Extensive courses of exercises in school extend such arithmetic to rational numbers. Various approaches to geometry have based exercises on relations of angles , segments , and triangles . The topic of trigonometry gains many of its exercises from the trigonometric identities .

  4. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    In decimal numbers greater than 1 (such as 3.75), the fractional part of the number is expressed by the digits to the right of the decimal (with a value of 0.75 in this case). 3.75 can be written either as an improper fraction, 375/100, or as a mixed number, ⁠3 + 75 / 100 ⁠.

  5. Arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arithmetic

    Rational number arithmetic is the branch of arithmetic that deals with the manipulation of numbers that can be expressed as a ratio of two integers. [93] Most arithmetic operations on rational numbers can be calculated by performing a series of integer arithmetic operations on the numerators and the denominators of the involved numbers.

  6. Number theory - Wikipedia

    en.wikipedia.org/wiki/Number_theory

    (A quadratic field consists of all numbers of the form +, where and are rational numbers and is a fixed rational number whose square root is not rational.) For that matter, the 11th-century chakravala method amounts—in modern terms—to an algorithm for finding the units of a real quadratic number field.

  7. Calkin–Wilf tree - Wikipedia

    en.wikipedia.org/wiki/Calkin–Wilf_tree

    In number theory, the Calkin–Wilf tree is a tree in which the vertices correspond one-to-one to the positive rational numbers.The tree is rooted at the number 1, and any rational number q expressed in simplest terms as the fraction ⁠ a / b ⁠ has as its two children the numbers ⁠ 1 / 1+1/q ⁠ = ⁠ a / a + b ⁠ and q + 1 = ⁠ a + b / b ⁠.

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