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Multiplication table from 1 to 10 drawn to scale with the upper-right half labeled with prime factorisations. In mathematics, ... 24: 36: 48: 60: 72: 84: 96: 108: 120 ...
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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.
Integer multiplication respects the congruence classes, ... This table shows the cyclic decomposition of ... C 2 ×C 48: 96: 48: 3, 118 24 C 2 ×C 2 ×C 2: 8: 2: 5, 7 ...
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]
Multiplication of two real numbers, two imaginary numbers or a real number by an imaginary number in the classical notation system was the same operation. Multiplication of a scalar and a vector was accomplished with the same single multiplication operator; multiplication of two vectors of quaternions used this same operation as did ...
The original can be viewed here: Hexidecimal Multiplication Table.png: . ... 24, 11 December 2009: 513 × 513 (9 KB) McSush: char fix: 02:20, 22 November 2009:
The devices themselves don't use logarithms, rather they are tools to reduce multiplication and division of natural numbers to simple addition and subtraction operations. The first device, which by then was already popularly used and known as Napier's bones , was a set of rods inscribed with the multiplication table.
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