Logarithms-Mantissa

In respect to the question “what is mantissa” it can be answered by saying that “mantissa”  is originally a Latin term that originated from an Etruscan origin. Basically, it means adding, or something whose value by nature is minor and it was simply written down as “mantissa”. The essential and significant element of a common logarithm is known as characteristic whereas, on the contrary, the decimal part that is not negative is referred to as “mantissa”.

Definition of Mantissa

“Mantissa” can be defined as a part of a number that is generally located after any decimal point. In regard to the question “what is mantissa” it can be answered that an integral and essential part for a common logarithm is known as the characteristic whereas it can be said that non-negative part of any decimal is referred to as the “mantissa”. In regard to the question “what is mantissa” it can be answered that an integral and essential part for a common logarithm is known as the characteristic whereas it can be said that the non-negative part of any decimal is referred to as the “mantissa”. Let us take a numerical illustration, for instance, the value of log 39.2 is equal to 1.59. It can be cited that 1 is said to be the characteristic and 59 is mainly “mantissa” for any particular logarithm.

Major points of distinction between mantissa and characteristic:

 There are various points of difference between characteristics and “mantissa”. The logarithm of any particular number basically comprises two parts that are namely characteristics and “mantissa”.  Some of the major points of distinction between characteristics and “mantissa” can be stated on certain grounds. It can be said that the whole or integral part of any number is known as the characteristics whereas the decimal part is referred to as “mantissa”. The value of “mantissa” is said to be always positive by nature and this value is always smaller than 1. 

On the contrary, it can be said that the integer part of a logarithm is known as characteristic. On the other hand, any number which has prevalence of the decimal and fractional part of any logarithm is referred to as “mantissa”. It can be stated as a whole that the characteristics can be positive or else negative by nature. On the contrary, the “mantissa” of any given logarithm by nature turns out to be always positive.

How to determine Characteristic and Mantissa

In general, the characteristic of logarithm of any particular number is generally determined by mechanism of inspection and the “mantissa” is totally determined by a logarithm table. The characteristic of the logarithm of any number is usually larger than 1.  However, it is a known fact that value of log 1 is equal to 0 and value of log 10 is equal to 1. Therefore, it can be said that the common logarithm of any number in between 1 and 10 basically in general lies in between 0 and 1. Let us take another illustration by stating that common logarithm for any number whose integral part contains two main digits lies in between 1 and 2. 

The salient characteristic feature of logarithm of any particular number is always greater than 1. It is by nature always positive and is found one equivalent lesser than the digits in that part of number. It is said to be convention in representing the “mantissa” of logarithm value of any sort of number that is being described as positive. Thus, in a nutshell it can be stated aforesaid points reflect the determinant representation of “mantissa” and characteristic by using a logarithm table with the help of practical application of logarithm formula.

Conclusion

It can be concluded from above discussion and analysis by stating that arithmetical logarithm of any given quantity can be significantly expressed. Since these two quantities are significant they take place within both fractional as well as integral forms. Earlier, fractional part basically takes place in form of a logarithm for any sort of decimal number but later it can be put into transformation to another decimal number in accordance with the table of logarithm which is referred to as the “mantissa”. While answering the question “what is mantissa”, students came to an answer that in the case of decimals, larger numbers are generally shown with help of a “mantissa” and exponent. Rather, it can be found that “mantissa” constantly holds a significant area in solving problems related to logarithm. This is a technique that is mainly taken into significance for the binary numbers.