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" FRACTION is a negative number, and is one more than the number of ciphers between the decimal point and the first significant Jigure. "
Elements of Surveying: With the Necessary Tables - Page 15
by Charles Davies - 1830 - 306 pages
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...8. The characteristic of the logarithm of ANY DECIMAL FRACTION is a negative number, and is one more than the number of ciphers between the decimal point and the first significant Jigure. For it has been shown (Art. 4) that the logarithm of 0.1 is — 1, of 0.01 is — 2, of 0.001...
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New Higher Algebra: An Analytical Course Designed for High Schools ...

Benjamin Greenleaf - Algebra - 1864 - 420 pages
...395. The characteristic of the logarithm of any DECIMAL FRACTION is negative, and numerically one more than the number of ciphers between the decimal point and the first significant figure. This is evident from Art. 391. PROPERTIES OF LOGARITHMS. 396. The logarithm of 1 in any system...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864 - 588 pages
...train lose 2 hours by stoppages. 4. Given Iog10 3 = '477121, find the number of digits in 315, and the number of ciphers between the decimal point and the first [significant digit of the decimal equal to r^Find by the aid of the logarithmic tables : (1) (19)*+(19)+(l9)i...
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Mathematical Exercises ...

Samuel H. Winter - 1867 - 472 pages
...train lose 2 hrs. by stoppages ? 4. (1) Given log 3 = -477121; find the number of digits in 315, and the number of ciphers between the decimal point and the first significant digit of the decimal equal to — . 8 (2) Find, by the aid of the tables, the sum of the series 19^,...
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Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - Geometry - 1868 - 432 pages
...characteristic is — 2, and so on. The characteristic of the logarithm of a fraction is numerically one more than the number of ciphers between the decimal point and the first significant figure of the given fraction written decimally. The characteristic of the logarithm denotes how many...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1869 - 516 pages
...Ttie characteristic of tlie logarithm of ANT DECIMAL FRACTION is a negative number, and is one more than the number of ciphers between the decimal point and the first signifdcant figure. For it has been shown (Art. 4) that the logarithm of 0.1 is —1, of 0.01 is —...
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The practice of navigation and nautical astronomy. [With] Tables ..., Volume 26

Henry Raper - 1870 - 974 pages
...in the whole number, and one less than i is o. (2.) When the number consists of decimals only, count the number of ciphers between the decimal point and the first significant* figure after it, and subtract this number from 9; the remainder is the index. Ex. 1. Find the log....
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The Elements of Algebra and Trigonometry

William Nathaniel Griffin - Algebra - 1871 - 330 pages
...1-7956004, whence ( ) = .62458. V.1-04/ Ex. 8. To find by logarithms the number of digits in 3'*, and the number of ciphers between the decimal point and the first significant digit of the decimal which is equal t -• 315 This question will be resolved by ascertaining what...
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Elementary Algegra

Daniel Barnard Hagar - Algebra - 1873 - 278 pages
...The characteristic of the logarithm of any number less than 1, expressed as a decimal, is one more than the number of ciphers between the decimal point and the first numeral figure in the decimal. For, the logarithm of .1 is — 1 ; of .01 is — 2 ; of .001 is —...
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The Normal Higher Arithmetic: Designed for Common Schools, High Schools ...

Edward Brooks - Arithmetic - 1877 - 560 pages
...1 is 0. PRIN. 3.—The characteristic of the logarithm of a decimal is negative, and is numerically one greater than the number of ciphers between the decimal point and the first significant figure. For, if we raise the base, 10, to powers which give decimals, we will have, 10" = 1 ; hence,...
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