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2. Multiplication table - Wikipedia

   en.wikipedia.org/wiki/Multiplication_table

   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.

3. Midy's theorem - Wikipedia

   en.wikipedia.org/wiki/Midy's_theorem

   In mathematics, Midy's theorem, named after French mathematician E. Midy, [1] is a statement about the decimal expansion of fractions a/p where p is a prime and a/p has a repeating decimal expansion with an even period (sequence A028416 in the OEIS). If the period of the decimal representation of a/p is 2n, so that

4. 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.

5. Repeating decimal - Wikipedia

   en.wikipedia.org/wiki/Repeating_decimal

   A repeating decimal or recurring decimal is a decimal representation of a number whose digits are eventually periodic (that is, after some place, the same sequence of digits is repeated forever); if this sequence consists only of zeros (that is if there is only a finite number of nonzero digits), the decimal is said to be terminating, and is not considered as repeating.

6. Decimal representation - Wikipedia

   en.wikipedia.org/wiki/Decimal_representation

   Also the converse is true: The decimal expansion of a rational number is either finite, or endlessly repeating. Finite decimal representations can also be seen as a special case of infinite repeating decimal representations. For example, 36 ⁄ 25 = 1.44 = 1.4400000...; the endlessly repeated sequence is the one-digit sequence "0".

7. Non-integer base of numeration - Wikipedia

   en.wikipedia.org/wiki/Non-integer_base_of_numeration

   Let β > 1, and Q(β) be the smallest field extension of the rationals containing β. Then any real number in [0,1) having a periodic β-expansion must lie in Q(β). On the other hand, the converse need not be true. The converse does hold if β is a Pisot number, [8] although necessary and sufficient conditions are not known.