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In order to convert a rational number represented as a fraction into decimal form, one may use long division. For example, consider the rational number 5 / 74 : 0.0 675 74 ) 5.00000 4.44 560 518 420 370 500 etc. Observe that at each step we have a remainder; the successive remainders displayed above are 56, 42, 50.
Volume was measured in ngogn (equal to 1000 cubic potrzebies), mass in blintz (equal to the mass of 1 ngogn of halva, which is "a form of pie [with] a specific gravity of 3.1416 and a specific heat of .31416"), and time in seven named units (decimal powers of the average earth rotation, equal to 1 "clarke").
This was an official unit of measurement in South Africa until the 1970s, and was defined in November 2007 by the South African Law Society as having a conversion factor of 1 morgen = 0.856 532 hectares. [27] This unit of measure was also used in the Dutch colonial province of New Netherland (later New York and parts of New England). [28] [29]
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 ...
The app also teaches fractions and decimals, focusing on comparing, converting, and calculating. Geometry lessons include understanding shapes, calculating area and volume. Measurement is another focus, with exercises on using and converting different units like length and time. Duolingo also allows its users to play math games. [67]
In chemistry the negative of the decimal logarithm, the decimal cologarithm, is indicated by the letter p. [63] For instance, pH is the decimal cologarithm of the activity of hydronium ions (the form hydrogen ions H + take in water). [64] The activity of hydronium ions in neutral water is 10 −7 mol·L −1, hence a pH of 7. Vinegar typically ...
For some usage examples, consider the conversion of 1 SCCM to kg/s of a gas of molecular weight , where is in kg/kmol. Furthermore, consider standard conditions of 101325 Pa and 273.15 K, and assume the gas is an ideal gas (i.e., =).
As a result, B0 is 1 metre wide, and other sizes of the series are a half, a quarter, or further fractions of a metre wide: in general, every B size has exactly one side of length for . That side is the short side for B0, B2, B4, etc., and the long side for B1, B3, B5, etc.