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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 ...
The method for general multiplication is a method to achieve multiplications with low space complexity, i.e. as few temporary results as possible to be kept in memory. This is achieved by noting that the final digit is completely determined by multiplying the last digit of the multiplicands. This is held as a temporary result.
Tables is a generic name given to an ancient class of board games of which there are many examples, but the best known in the Western world today is Backgammon Main article: Tables game Subcategories
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]
The word 'tables' is derived from the Latin tabula which primarily meant 'board' or 'plank', but also referred to this genre of game. From its plural form, tabulae, come the names in other languages for this family of games including the Anglo-Saxon toefel, German [wurf]zabel, Greek tavli, Italian tavoli, Scandinavian tafl, Spanish tablas and, of course, English and French tables.
It requires memorization of the multiplication table for single digits. This is the usual algorithm for multiplying larger numbers by hand in base 10. A person doing long multiplication on paper will write down all the products and then add them together; an abacus-user will sum the products as soon as each one is computed.