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  2. Division (mathematics) - Wikipedia

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

    In terms of partition, 20 / 5 means the size of each of 5 parts into which a set of size 20 is divided. For example, 20 apples divide into five groups of four apples, meaning that "twenty divided by five is equal to four". This is denoted as 20 / 5 = 4, or ⁠ 20 / 5 ⁠ = 4. [2] In the example, 20 is the dividend, 5 is the divisor, and 4 is ...

  3. 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 ...

  4. Repeating decimal - Wikipedia

    en.wikipedia.org/wiki/Repeating_decimal

    5 / 7 ⁠ = 5 × 0. 142857 = 0. 714285 ⁠ 6 / 7 ⁠ = 6 × 0. 142857 = 0. 857142; The reason for the cyclic behavior is apparent from an arithmetic exercise of long division of ⁠ 1 / 7 ⁠: the sequential remainders are the cyclic sequence {1, 3, 2, 6, 4, 5}. See also the article 142,857 for more properties of this cyclic number.

  5. 142857 - Wikipedia

    en.wikipedia.org/wiki/142857

    1 / 28 ⁠ = 0.03 571428... ⁠ 1 / 35 ⁠ = 0.0 285714... ⁠ 1 / 56 ⁠ = 0.017 857142... ⁠ 1 / 70 ⁠ = 0.0 142857... The above decimals follow the 142857 rotational sequence. There are fractions in which the denominator has a factor of 7, such as ⁠ 1 / 21 ⁠ and ⁠ 1 / 42 ⁠, that do not follow this sequence and have other values ...

  6. Divisibility rule - Wikipedia

    en.wikipedia.org/wiki/Divisibility_rule

    To test for divisibility by D, where D ends in 1, 3, 7, or 9, the following method can be used. Find any multiple of D ending in 9. (If D ends respectively in 1, 3, 7, or 9, then multiply by 9, 3, 7, or 1.) Then add 1 and divide by 10, denoting the result as m. Then a number N = 10t + q is divisible by D if and only if mq + t is divisible by D.

  7. Multiplicative inverse - Wikipedia

    en.wikipedia.org/wiki/Multiplicative_inverse

    In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/ x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a / b is b / a. For the multiplicative inverse of a real number, divide 1 by the number. For example, the reciprocal of 5 is one ...

  8. Proof that 22/7 exceeds π - Wikipedia

    en.wikipedia.org/wiki/Proof_that_22/7_exceeds_π

    The purpose of the proof is not primarily to convince its readers that ⁠ 22 7 ⁠ (or ⁠3 1 7 ⁠) is indeed bigger than π; systematic methods of computing the value of π exist. If one knows that π is approximately 3.14159, then it trivially follows that π < ⁠ 22 7 ⁠, which is approximately 3.142857. But it takes much less work to ...

  9. Dividing a circle into areas - Wikipedia

    en.wikipedia.org/wiki/Dividing_a_circle_into_areas

    The number of points (n), chords (c) and regions (r G) for first 6 terms of Moser's circle problem. In geometry, the problem of dividing a circle into areas by means of an inscribed polygon with n sides in such a way as to maximise the number of areas created by the edges and diagonals, sometimes called Moser's circle problem, has a solution by an inductive method.