![]() ![]() ^ a b Hall, Arthur Graham Frink, Fred Goodrich (1909)., the eccentricity of the earth ellipsoid For example, the logarithm of 120 is given by the following calculation: The integer part, called the characteristic, can be computed by simply counting how many places the decimal point must be moved, so that it is just to the right of the first significant digit. Tables of common logarithms typically listed the mantissa, to four or five decimal places or more, of each number in a range, e.g. Thus, log tables need only show the fractional part. The fractional part is known as the mantissa. For the history of such tables, see log table.Īn important property of base-10 logarithms, which makes them so useful in calculations, is that the logarithm of numbers greater than 1 that differ by a factor of a power of 10 all have the same fractional part. Mathematical and navigation handbooks included tables of the logarithms of trigonometric functions as well. Because logarithms were so useful, tables of base-10 logarithms were given in appendices of many textbooks. ![]() By turning multiplication and division to addition and subtraction, use of logarithms avoided laborious and error-prone paper-and-pencil multiplications and divisions. Instead, tables of base-10 logarithms were used in science, engineering and navigation-when calculations required greater accuracy than could be achieved with a slide rule. The complete table covers values up to 9999.īefore the early 1970s, handheld electronic calculators were not available, and mechanical calculators capable of multiplication were bulky, expensive and not widely available. This page shows the logarithms for numbers from 1000 to 1509 to five decimal places. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |