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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. Square (algebra) - Wikipedia

    en.wikipedia.org/wiki/Square_(algebra)

    55, or 5 2 (5 squared), can be shown graphically using a square. Each block represents one unit, 1⋅1, and the entire square represents 55, or the area of the square. In mathematics, a square is the result of multiplying a number by itself. The verb "to square" is used to denote this operation.

  4. Square number - Wikipedia

    en.wikipedia.org/wiki/Square_number

    For example, 5 2 = 25 = 1 + 3 + 5 + 7 + 9. ... In general, if a prime p divides a square number m then the square of p must also divide m; if p fails to divide ...

  5. Division by two - Wikipedia

    en.wikipedia.org/wiki/Division_by_two

    An orange that has been sliced into two halves. In mathematics, division by two or halving has also been called mediation or dimidiation. [1] The treatment of this as a different operation from multiplication and division by other numbers goes back to the ancient Egyptians, whose multiplication algorithm used division by two as one of its fundamental steps. [2]

  6. Fermat's theorem on sums of two squares - Wikipedia

    en.wikipedia.org/wiki/Fermat's_theorem_on_sums_of...

    Fermat's theorem on sums of two squares is strongly related with the theory of Gaussian primes.. A Gaussian integer is a complex number + such that a and b are integers. The norm (+) = + of a Gaussian integer is an integer equal to the square of the absolute value of the Gaussian integer.

  7. Square root of 2 - Wikipedia

    en.wikipedia.org/wiki/Square_root_of_2

    The square root of 2 (approximately 1.4142) is the positive real number that, when multiplied by itself or squared, equals the number 2. It may be written in mathematics as 2 {\displaystyle {\sqrt {2}}} or 2 1 / 2 {\displaystyle 2^{1/2}} .

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  9. Long division - Wikipedia

    en.wikipedia.org/wiki/Long_division

    1 2 5 (q, changes from 000 to 100 to 1 20 to 1 2 5 as per notes below) 4)500 400 ... Decimal numbers are not divided directly, the dividend and divisor are multiplied ...