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Multiplication table information


Multiplication table from 1 to 10 drawn to scale with the upper-right half labeled with prime factorisations

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 with base-ten numbers. Many educators believe it is necessary to memorize the table up to 9 × 9.[1]

  1. ^ Trivett, John (1980), "The Multiplication Table: To Be Memorized or Mastered!", For the Learning of Mathematics, 1 (1): 21–25, JSTOR 40247697.

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Ancient Egyptian multiplication

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of two multiplication methods used by scribes, is a systematic method for multiplying two numbers that does not require the multiplication table, only...

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Octonion

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the multiplication ceases to be associative, but the ∗ may be removed from the multiplication table resulting in an octonion multiplication table. In...

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Binary number

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15625 in decimal) See also Booth's multiplication algorithm. The binary multiplication table is the same as the truth table of the logical conjunction operation...

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Multiplication algorithm

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all the properly shifted results. It requires memorization of the multiplication table for single digits. This is the usual algorithm for multiplying larger...

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The Multiplication Table is an album by the American jazz pianist Matthew Shipp, recorded in 1997 and released on the Swiss hatOLOGY label. The album features...

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Cayley table

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group's elements in a square table reminiscent of an addition or multiplication table. Many properties of a group – such as whether or not it is abelian...

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Nimber

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with nimber addition and nimber multiplication, which are distinct from ordinal addition and ordinal multiplication. Because of the Sprague–Grundy theorem...

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Abelian group

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group is abelian, a table (matrix) – known as a Cayley table – can be constructed in a similar fashion to a multiplication table.: 10  If the group is...

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Quaternion

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to a multiplication table of unit quaternions. For example, the last matrix representation given above corresponds to the multiplication table which...

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Paraboloid

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representation (a three-dimensional nomograph, as it were) of a multiplication table. The two paraboloidal R2 → R functions z 1 ( x , y ) = x 2 − y 2...

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Arithmetic

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mathematics that studies numerical operations like addition, subtraction, multiplication, and division. In a wider sense, it also includes exponentiation, extraction...

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Mathematical table

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Group table Handbook History of logarithms Nautical almanac Matrix MAOL, a Finnish handbook for science Multiplication table Random number table A Million...

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Quasigroup

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in each column of the quasigroup's multiplication table, or Cayley table. This property ensures that the Cayley table of a finite quasigroup, and, in particular...

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History of mathematics

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provided one of the earliest Greco-Roman multiplication tables, whereas the oldest extant Greek multiplication table is found on a wax tablet dated to the...

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Quaternion group

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Q8 can be viewed as a subset of the quaternions. The Cayley table (multiplication table) for Q8 is given by: The elements i, j, and k all have order...

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Duodecimal

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duodecimal. There is also higher regularity observable in the duodecimal multiplication table. As a result, duodecimal has been described as the optimal number...

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Lookup table

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sine tables, which he encoded in a Sanskrit-letter-based number system. In 493 AD, Victorius of Aquitaine wrote a 98-column multiplication table which...

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Soroban

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so-called standard methods for both multiplication and division which require only the use of the multiplication table. These methods were chosen for efficiency...

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Warring States period

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"Ancient times table hidden in Chinese bamboo strips: The 2,300-year-old matrix is the world's oldest decimal multiplication table". Nature. doi:10...

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Hexadecimal

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directly within the hex system itself — by relying on its addition/multiplication tables and its corresponding standard algorithms such as long division...

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Punnett square

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called the "chessboard" method (although in truth it is more like a multiplication table). [...] (11 pages) Wimsatt, William C. (2012-05-15), "The analytic...

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Vedic square

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Indian mathematics, a Vedic square is a variation on a typical 9 × 9 multiplication table where the entry in each cell is the digital root of the product of...

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Decimal

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finite binary fractional representation; and is generally impossible for multiplication (or division). See Arbitrary-precision arithmetic for exact calculations...

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