. Practical mathematics : an elementary treatise covering the fundamental processes of arithmetic, algebra, and geometry, with a practical presentation of logarithms and curve plotting. than 1 has a characteristic which is oneless than the number of digits in the number; any number less than 1has a negative characteristic which is one more than the number of zerosbetween the decimal point and the first numerical figure. For example has a characteristic 1 523 a tc (C 2 532,654 tt (( a 5 (( a a 0 .0072 a (C (C -3 .000038 u (( (C -5 10 (l a n 1 Practice this rule by finding the charact


. Practical mathematics : an elementary treatise covering the fundamental processes of arithmetic, algebra, and geometry, with a practical presentation of logarithms and curve plotting. than 1 has a characteristic which is oneless than the number of digits in the number; any number less than 1has a negative characteristic which is one more than the number of zerosbetween the decimal point and the first numerical figure. For example has a characteristic 1 523 a tc (C 2 532,654 tt (( a 5 (( a a 0 .0072 a (C (C -3 .000038 u (( (C -5 10 (l a n 1 Practice this rule by finding the characteristics of a great manynumbers until the process is clear to you. PRACTICAL MATHEMATICS 125 The mantissa is the part of the logarithm to the right of thedecimal point and has a certain value for every succession of example, the mantissa is the same for 2734, , 2,734,000and .002734. The value of the mantissa must always be obtainedfrom the logarithm tables and may be found as follows: Referring to the portion of the logarithm table given belowit will be noticed that the column of figures at the extreme left con-sists of two figures each from 10 to 19. LOGARITHMS. Next there are ten columns of four figures each, headed by the digitsfrom 0 to 9 inclusive. These four-figured numbers are the man-tissas of the numbers made up of the two figures at the left and athird at the top of each column. For example, the mantissa of 118is found by taking the number 11 in the left-hand column andmoving horizontally to the column headed 8 which is the third figureof the number 118; the mantissa sought is .0719. Remember is also the mantissa of , , .00118, or 11,800. Againfor 156,000, we move horizontally toward the right from 15 to thevertical column 6 and find the mantissa to be .1931. By consulting the complete tables, pages 171,172, it will be seenthat this system is easily extended to include the mantissa for anysuccession of three numbers whatsoever. A fou


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