Math, asked by vihan3, 1 year ago

how to take antilog of negative number

Answers

Answered by Alice123456789

129

to find antilog of negative number First you have to convert the negative number in to two parts one characteristic and the mantisa into positive.

vihan3: First convert the negative number in to two parts one negative ( characteristic) and the decimal part( Mantissa) into positive. For example, lets take antilog of

-7.5231

by adding +8 and subtracting -8 as follows :
-7.5231 +8 - 8 = -8 + (8-7.5231) = -8+ 0.4769. Now, find the actual digits using 0.4769 in the anti-log table. Multiply this by 10^(-8) to account for the -8 characteristic

Alice123456789: welcome

Alice123456789: okay thx

Answered by hotelcalifornia

147

Answer:

To take the anti-log of a negative number, we need to do the following:

Step-1: Conversion of the negative number into two parts in a way such that one part is a negative whole number called characteristic and the other part is a positive decimal part called Mantissa.

For the anti-log of -5.3351

Value nearer to 5 is 6

Thus,

-5.3351 + 6 - 6 = - 6 + 6 – 5.3351 = - 6 + 0.6649

Step-2: Evaluate the mathematical expression thus obtained.

Step-3: Use this value to find out the anti-log from the anti-log table that is provided.

Find the anti-log of 0.6649

Step-4: Next multiply this anti-log value obtained in Step 3 by 10^( the value of the negative characteristic) (i.e., $10^{-6}$ in this case) for considering the negative characteristic.

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