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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 figure. "
Elements of Plane and Spherical Trigonometry: With Practical Applications - Page 3
by Benjamin Greenleaf - 1867 - 170 pages
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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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An Elementary Algebra

Daniel Barnard Hagar - Algebra - 1873 - 278 pages
...and so on. 2. 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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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Trigonometry - 1876 - 204 pages
...0, of 10 is 1, of 100 is 2, of 1000 is 3, and so on. 8. The characteristic of the logarithm O/"ANT DECIMAL» FRACTION is a negative number, and is one...more than the number of ciphers between the decimal po1nt and the first significant figure. For it has been shown (Art. 4) that the logarithm of 0.1 is...
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The Normal Higher Arithmetic: Designed for Common Schools, High Schools ...

Edward Brooks - Arithmetic - 1877 - 564 pages
...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, log 1 = 0;...
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The Practice of Navigation: And Nautical Astronomy

Henry Raper - Nautical astronomy - 1882 - 952 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. of '0058...
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Transactions of the Cambridge Philosophical Society, Volume 13

Cambridge Philosophical Society - Philosophy - 1883 - 334 pages
...additional figures before the decimal point is reached. The numbers in parentheses denote the numbers of ciphers between the decimal point and the first significant figure ; for example, in e'" there are 22 ciphers between the decimal point and the figures 709547416. X log,.(e*)...
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Elementary Text-book of Trigonometry

Robert Hamilton Pinkerton - Trigonometry - 1884 - 194 pages
...characteristic of the logarithm of a number which is less than unity is negative and greater by unity than the number of ciphers between the decimal point and the first significant figure. Thus the numbers of ciphers between the decimal point and the first significant figure in the numbers...
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Numbers Universalized: An Advanced Algebra, Volume 2

David Martin Sensenig - Algebra - 1890 - 556 pages
...— The characteristic of the logarithm of a pure decimal is negative, and is numerically one greater than the number of ciphers between the decimal point and the first significant figure. 472. To designate that the characteristic is negative and the mantissa positive, it is customary to...
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The Elements of Algebra

George W. Lilley - Algebra - 1892 - 420 pages
...m"lx Find the number of digits in the values of: 12. 312X28; 2м; IG100; (4375)8; (396000)10. Find the number of ciphers between the decimal point and the first significant figure in the values of: 13. (.2)*; (.5)100; (.05)5; (.033G)10 ; V8100. 14. Given log x = 2.30103, find log...
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An Elementary Treatise on Plane Trigonometry

Ernest William Hobson, Charles Minshall Jessop - Plane trigonometry - 1892 - 328 pages
...104 = 2-0170333 find log 2-6. 8. Find the number of digits in the integral part of (Г04)1000, and the number of ciphers between the decimal point and the first significant figure of (-6)100. 9. If log y£ff =p and log 2 = q, then log 4100 =p + l2q. 10. Given log 59579 = 4-7750933,...
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