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" If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number. "
Complete School Algebra - Page 480
by Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1919 - 507 pages
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Plane Trigonometry

George Wentworth, David Eugene Smith - Plane trigonometry - 1914 - 348 pages
...in the number. The characteristic of the logarithm, of a number between 0 and 1 is negative and is one greater than the number of zeros between the decimal point and the first significant figure in the number. For example, since 10s = 1000 and 104 = 10,000, it is evident that log 7250 lies between...
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Durell's School Algebra

Fletcher Durell - Algebra - 1914 - 606 pages
...and so on. Hence, the characteristic of a decimal fraction is negative, and is numerically one more than the number of zeros between the decimal point and the first significant figure. There are two ways in common use for writing the characteristic of a decimal fraction. Thus, (1) log...
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School Algebra: First-[second] Course

Henry Lewis Rietz, Arthur Robert Crathorne, Edson Homer Taylor - Algebra - 1915 - 266 pages
...on. Hence, we have the general rule: The characteristic of the logarithm of a number between 1 and 0 is negative and numerically one greater than the number...the decimal point and the first significant figure. Thus, the characteristic of log.0345 is -2 ; of log.000479 is -4 ; and so on. 118. Mantissa of a common...
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Durell's Algebra: Two Book Course. Book Two, Book 2

Fletcher Durell - 1915 - 346 pages
...and so on. Hence, the characteristic of a decimal fraction is negative, and is numerically one more than the number of zeros between the decimal point and the first significant figure. There are two ways in common use for writing the characteristic of a decimal fraction. Thus, (1) log...
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Plane and Spherical Trigonometry

George Neander Bauer, William Ellsworth Brooke - Trigonometry - 1917 - 344 pages
...LAW OF THE CHARACTERISTIC. All positive numbers less than 1 have a negative characteristic, and it is numerically one greater than the number of zeros between...the decimal point and the first significant figure. Thus log .000468 = 4.67025 log .175 = Ï.24304. 3. Mantissa not affected by change of decimal point....
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Third-year Mathematics for Secondary Schools

Ernst Rudolph Breslich - Logarithms - 1917 - 408 pages
...the decimal point. The characteristic of a number less than 1 is negative and one greater numerically than the number of zeros between the decimal point and the first significant figure of the number. EXERCISE What is the characteristic of each of the following numbers: 32; 8; 2,468;...
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The Engineers' Manual

Ralph Gorton Hudson - Engineering - 1917 - 312 pages
...one, c equals the number of integral figures in N, minus one. If N is less than one, c equals 9 minus the number of zeros between the decimal point and the first significant figure, minus 10 (the — 10 being written after the mantissa). (e) Mantissa or decimal part (m) of the common...
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Unified Mathematics

Louis Charles Karpinski, Harry Yandell Benedict, John William Calhoun - Mathematics - 1918 - 544 pages
...decimal fraction has as characteristic the negative of a positive integer (0 not included) which is 1 greater than the number of zeros between the decimal point and the first significant digit (ie digit other than 0) to the right of the decimal point. 5. Computation of logarithms. —...
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Higher arithmetic

George Wentworth - 1919 - 266 pages
...= 4 + some mantissa. 2. The characteristic of a number between 0 and 1 is negative and is one more than the number of zeros between the decimal point and the first significant figure in the decimal fraction. For example, log 0.02 = — 2 + some mantissa, and log 0.00076 = — 4 + some...
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Higher Arithmetic

George Wentworth, David Eugene Smith - Arithmetic - 1919 - 268 pages
...fraction. For reasons given later, the characteristic of the logarithm of a decimal fraction is one more than the number of zeros between the decimal point and the first significant figure. Hence the logarithm of a number between 0.001 and 0.01 lies between — 3 and — 2, and is therefore...
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