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  2. Multiplication table - Wikipedia

    en.wikipedia.org/wiki/Multiplication_table

    In mathematics, a multiplication table (sometimes, less formally, a times table) is a mathematical table used to define a multiplication operation for an algebraic system. The decimal multiplication table was traditionally taught as an essential part of elementary arithmetic around the world, as it lays the foundation for arithmetic operations ...

  3. Multiplication - Wikipedia

    en.wikipedia.org/wiki/Multiplication

    Multiplication by a positive number preserves the order: For a > 0, if b > c, then ab > ac. Multiplication by a negative number reverses the order: For a < 0, if b > c, then ab < ac. The complex numbers do not have an ordering that is compatible with both addition and multiplication. [30]

  4. History of mathematics - Wikipedia

    en.wikipedia.org/wiki/History_of_mathematics

    The association of the Neopythagoreans with the Western invention of the multiplication table is evident in its later Medieval name: the mensa Pythagorica. [49] Plato (428/427 BC – 348/347 BC) is important in the history of mathematics for inspiring and guiding others. [50]

  5. Ancient Egyptian multiplication - Wikipedia

    en.wikipedia.org/.../Ancient_Egyptian_multiplication

    In mathematics, ancient Egyptian multiplication (also known as Egyptian multiplication, Ethiopian multiplication, Russian multiplication, or peasant multiplication), one of two multiplication methods used by scribes, is a systematic method for multiplying two numbers that does not require the multiplication table, only the ability to multiply and divide by 2, and to add.

  6. Chinese multiplication table - Wikipedia

    en.wikipedia.org/wiki/Chinese_multiplication_table

    The Tsinghua Bamboo Slips, containing the world's earliest decimal multiplication table, dated 305 BC during the Warring States period. The Chinese multiplication table is the first requisite for using the Rod calculus for carrying out multiplication, division, the extraction of square roots, and the solving of equations based on place value decimal notation.

  7. Cayley table - Wikipedia

    en.wikipedia.org/wiki/Cayley_table

    The group {1, −1} above and the cyclic group of order 3 under ordinary multiplication are both examples of abelian groups, and inspection of the symmetry of their Cayley tables verifies this. In contrast, the smallest non-abelian group, the dihedral group of order 6, does not have a symmetric Cayley table.

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