What is characteristic of .000456?
Answers
Step-by-step explanation:
What is the characteristic of log of 0.0054 and why?
Pursue your healthcare graduate degree online.
Answer: -3
Discussion:
By definition, the integral part of a logarithm is called the characteristic, and the fractional part when expressed as a positive decimal is called the mantissa. The logarithm of a number which has one digit before the decimal point is wholly fractional, that is the logarithm lies between 0 and 1.
While dealing with numbers, we work in the system of common logarithms where the base is 10 instead of e. Thus, log 10 = log₁₀ 10 = 1 .
The characteristic part of a logarithm may always be written down by inspection. Table is not required. Only for mantissa, we need a table. For m
Continue Reading
Why do toppers choose BYJU'S for JEE preparation?
Characteristic of a logarithm can be of any sign but the mantissa is always non-negative.
Mathematically it is floor(log(x))
So log(1024) = log(1000 * 1.024)
=> log(1024) = log(1000) + log (1.024)
=> log(1024) = 3 + 0.0103 = 3.0103
Similarly, log(0.0054) = log(0.001 * 5.4)
=> log(0.0054) = -3 + 0.7323.
So characteristic of logarithm of 0.0054 is -3
mark me brainiest