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Once these strategies are eliminated for every player, 66 + 2 / 3 becomes the new highest possible average (that is, if everyone chooses 66 + 2 / 3 ). Therefore, any guess above 44 + 4 / 9 is weakly dominated for every player since no player will guess above 66 + 2 / 3 , and 2 / 3 of 66 + 2 / 3 is 44 ...
666 is also the sum of the squares of the first seven primes (2 2 + 3 2 + 5 2 + 7 2 + 11 2 + 13 2 + 17 2), [7] [10] while the number of twin primes less than 6 6 + 666 is 666. [11] A prime reciprocal magic square based on in decimal has a magic constant of 666.
Every terminating decimal representation can be written as a decimal fraction, a fraction whose denominator is a power of 10 (e.g. 1.585 = 1585 / 1000 ); it may also be written as a ratio of the form k / 2 n ·5 m (e.g. 1.585 = 317 / 2 3 ·5 2 ).
or "," as in 25.9703 or 3,1415). [3] Decimal may also refer specifically to the digits after the decimal separator, such as in "3.14 is the approximation of π to two decimals". Zero-digits after a decimal separator serve the purpose of signifying the precision of a value.
A sequence of six consecutive nines occurs in the decimal representation of the number pi (π), starting at the 762nd decimal place. [1] [2] It has become famous because of the mathematical coincidence, and because of the idea that one could memorize the digits of π up to that point, and then suggest that π is rational.
The extraction of decimal-fraction approximations to square roots by various methods has used the square root of 7 as an example or exercise in textbooks, for hundreds of years. Different numbers of digits after the decimal point are shown: 5 in 1773 [4] and 1852, [5] 3 in 1835, [6] 6 in 1808, [7] and 7 in 1797. [8]
99.3 is "ninety-nine point three"; or "ninety-nine and three tenths" (U.S., occasionally). In English the decimal point was originally printed in the center of the line (0·002), but with the advent of the typewriter it was placed at the bottom of the line, so that a single key could be used as a full stop/period and as a decimal point.
For example, in the decimal system (base 10), the numeral 4327 means (4×10 3) + (3×10 2) + (2×10 1) + (7×10 0), noting that 10 0 = 1. In general, if b is the base, one writes a number in the numeral system of base b by expressing it in the form a n b n + a n − 1 b n − 1 + a n − 2 b n − 2 + ... + a 0 b 0 and writing the enumerated ...