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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.
New School Algebra - Page 372
by George Albert Wentworth - 1898 - 407 pages

## School Algebra: First-[second], Volume 2

Henry Lewis Rietz, Arthur Robert Crathorne, Edson Homer Taylor - Algebra - 1915 - 266 pages
...characteristic of the logarithm of a number between 1 and 0 is negative and numerically one greater than the number of zeros between 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...

## Plane and Spherical Trigonometry

George Wentworth, David Eugene Smith - Trigonometry - 1915 - 388 pages
...mantissa. 2. 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, log 0.02 = — 2 + some mantissa, and log 0.00076 = — 4 + some mantissa....

## 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; .8; .0021?...

## Plane and Spherical Trigonometry

George Neander Bauer, William Ellsworth Brooke - Trigonometry - 1917 - 344 pages
...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....

## 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...

## Unified Mathematics

Louis Charles Karpinski, Harry Yandell Benedict, John William Calhoun - Mathematics - 1918 - 542 pages
...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. —...

## Higher Arithmetic

George Wentworth, David Eugene Smith - Arithmetic - 1919 - 268 pages
...14,800.75 = 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...

## Higher arithmetic

George Wentworth - 1919 - 266 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...