...characteristic may be positive or negative, and must be supplied according to the following rules : — 1 . The characteristic of the logarithm of a number greater than unity is positive, and equal to one less than the number of integer places. 2. The characteristic of the logarithm...

...supplied. These observations being understood the following Rule must be borne in mind. Rule. The index of the logarithm of a number greater than unity is one less than the number of digits in the integral part, and when the number is less than unity, the index is properly negative,...

...decimal part alone is registered in the tables, and is called the mantissa ; the integer part, which ie called the characteristic, is not entered, but may...logarithm of a number greater than unity is one less than tf,e number of the digits of its integer part. Thus, the characteristic of the logarithm of 849 is...

...fraction. The integral part is called the characteristic, and may be known from the following RULE. The characteristic of the logarithm of a number greater than unity, is one less than the number of integral figures in the given number. Thus the logarithm of 297 is 2 plus a fraction ; that is, the...

...from this, that the characteristics of the logarithms of all numbers less than unity are negative, and may be found by The characteristic of the logarithm of a number less than unity, l1nd reduced to the decimal form, is negative, and one greater than the number of...

...supplied. These observations being understood, the following rule must be borne in mind. Rule. The index of the logarithm of a number greater than unity, is one less than the number of digits in the integral part, and when the number is less than unity, consisting of decimals only, then...

...between n — 1 and n. Therefore the characteristic of its logarithm is n — 1. Hence the rule, — The characteristic of the logarithm of a number greater than unity is less by one than the number of digits in the integral part of the number. (ii.) Let the number be a...

...oo is all that is registered in the tables, the characteristic being found as follows : — EULE vm. The characteristic of the logarithm of a number greater than unity, is one lets than the number of the digits of its integral part . Thus : the characteristic of the logarithm...

...36500, and 365000 have all the same mantissa — namely, -5622929 — as the logarithm of 365. 284. The characteristic of the logarithm of a number greater than unity is the number indicating how many places the most left-hand digit is from the units' place.* Thus, the...

...together give the mantissa of the logarithm of the number. To this the indtx has to be added. The index of the logarithm of a number greater than unity is one less than the number of figures in the integral part of that number. Thus the index of 5432 is 3, of 543-2 is 2, of 54-32 is...