Logarithms mantissa

A common logarithm, in general, consists of an integer, which is called the characteristic, and a decimal (usually endless), which is called the mantissa. The characteristic of any number may be determined from the following rules ... 

Mantissa of a Common Logarithm of a Number. An important consequence of the use of base 10 is that the mantissa of a number is independent of the position of the decimal point. Thus 93 600, 93.600, 0.000 936, all have the same mantissa. Hence in Tables of Common Logarithms only mantissas are given. A five-place table gives the values of the mantissa correct to five places of decimals. 

When connecting numbers to logarithms, use as many decimal places in the mantissa as there are significant digits in the number. 

Note Significant figures for logarithms is equal to the number of significant figures in the mantissa. 

A logarithm is composed of a characteristic and a mantissa. The characteristic is the integer part and the mantissa is the decimal part ... 

In the conversion of a logarithm into its antilogarithm, the number of significant figures in the antilogarithm should equal the number of digits in the mantissa. Thus,... 

MALDI See matrix-assisted laser desorption/ionization. mantissa The part of a logarithm to the right of the decimal point. 

The logarithm of a number consists of two parts, called the characteristic and the mantissa. The characteristic is the portion of the log that lies before the decimal point, and the mantissa is the portion that lies after the decimal point. The significance of separating a logarithm into these two parts is evident when you apply the logarithm laws to the logs of numbers such as 2000, and 2, and 0.000002. 

Note that the characteristic is determined by the power to which 10 is raised (when the number is in standard scientific notation), and the mantissa is determined by the log of the lefthand factor (when the number is in scientific notation). It is these properties that make it so easy to find the logarithm of a number using a log table. Here is how you can do it. 

II] Characteristics and Mantissa The logarithm of a number consists of two parts ... 

The mantissa of the logarithm of a number can be obtained from the logarithmic table. 

Note The mantissa of the logarithms of all the numbers having the same significant digits is the same. While finding the mantissa, ignore the decimal point.]... 

The two parts of the resulting logarithms are called the mantissa and the characteristic. The mantissa is the decimal part, and the characteristic, the integral part. Since tables of logarithms show positive mantissas only, a logarithm such as -5.8111 must be converted to 0.1889-6 before... 

The last two examples demonstrate that the logarithm of a number is the sum of two parts, a characteristic located to the left of the decimal point and a mantissa that lies to the right. The characteristic is the logarithm of 10 raised to a power and serves to indicate the location of the decimal point in the original number when that number is expressed in decimal notation. The mantissa is the logarithm of a number in the range between 0.00 and 9.99... Note that the mantissa is always positive. As a consequence, the characteristic in the last example is —6 and the mantissa is +0.30. 

The number to the left of the decimal point in a logarithm is called the characteristic, and the number to the right of the decimal point is called the mantissa. The characteristic only locates the decimal point of the number, so it is usually not included when counting significant figures. The mantissa has as many significant figures as the number whose log was found. 

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