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A fixed-point representation of a fractional number is essentially an integer that is to be implicitly multiplied by a fixed scaling factor. For example, the value 1.23 can be stored in a variable as the integer value 1230 with implicit scaling factor of 1/1000 (meaning that the last 3 decimal digits are implicitly assumed to be a decimal fraction), and the value 1 230 000 can be represented ...
He also gave two other approximations of π: π ≈ 22 ⁄ 7 and π ≈ 355 ⁄ 113, which are not as accurate as his decimal result. The latter fraction is the best possible rational approximation of π using fewer than five decimal digits in the numerator and denominator. Zu Chongzhi's results surpass the accuracy reached in Hellenistic ...
[6] [7] The use of counting rods must predate it; Sunzi (c. 544 to c. 496 BCE), a military strategist at the end of Spring and Autumn period of 771 BCE to 5th century BCE, mentions their use to make calculations to win wars before going into the battle; [8] Laozi (died 531 BCE), writing in the Warring States period, said "a good calculator ...
To convert a number with a fractional part, such as .0101, one must convert starting from right to left the 1s to decimal as in a normal conversion. In this example 0101 is equal to 5 in decimal. Each digit after the floating point represents a fraction where the denominator is a multiplier of 2. So, the first is 1/2, the second is 1/4 and so on.
The Sinclair Scientific Programmable, released a year later, was advertised as the first budget programmable calculator. Significant modifications to the algorithms used meant that a chipset intended for a four-function calculator was able to process scientific functions, but at the cost of reduced speed and accuracy. Compared to contemporary ...
Decimal fractions: Decimal fractions were first used by Abu'l-Hasan al-Uqlidisi in the 10th century. [57] [58] Experimental scientific method: Expounded and practised by ibn al-Haytham [59] [better source needed] Fountain pen: An early historical mention of what appears to be a reservoir pen dates back to the 10th century.
The pricing of equities on U.S. stock exchanges in 1 ⁄ 8-dollar denominations persisted until the New York Stock Exchange converted first to pricing in sixteenths of a dollar on 24 June 1997, and then in 2001 to decimal pricing.
In table poker, the vigorish, more commonly called the rake, is a fraction of each bet placed into the pot. The dealer removes the rake from the pot after each bet (or betting round), making change if necessary. The winner of the hand gets the money that remains in the pot after the rake has been removed.