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In general, if G is the number of gold pieces and N (> 2G) is the number of pirates, then All pirates whose number is less than or equal to 2G + M will survive, where M is the highest power of 2 that does not exceed N – 2G. Any pirates whose number exceeds 2G + M will die. Any pirate whose number is greater than 2G + M/2 will receive no gold.
Damath is a two-player educational board game combining the board game "Dama" (Filipino checkers) and math. It is used as a teaching tool for both elementary and high school mathematics. Every piece has a corresponding number and each even (white) square on board has a mathematical symbol.
In mathematics, "rational" is often used as a noun abbreviating "rational number". The adjective rational sometimes means that the coefficients are rational numbers. For example, a rational point is a point with rational coordinates (i.e., a point whose coordinates are rational numbers); a rational matrix is a matrix of rational numbers; a rational polynomial may be a polynomial with rational ...
In decimal numbers greater than 1 (such as 3.75), the fractional part of the number is expressed by the digits to the right of the decimal (with a value of 0.75 in this case). 3.75 can be written either as an improper fraction, 375/100, or as a mixed number, 3 + 75 / 100 .
The rational number / is unknown, and the goal of the problem is to recover it from the given information. In order for the problem to be solvable, it is necessary to assume that the modulus m {\displaystyle m} is sufficiently large relative to r {\displaystyle r} and s {\displaystyle s} .
If the number is not already a unit fraction, the first method in this list is to attempt to split the numerator into a sum of divisors of the denominator; this is possible whenever the denominator is a practical number, and Liber Abaci includes tables of expansions of this type for the practical numbers 6, 8, 12, 20, 24, 60, and 100.
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