If the logarithm of a number is - 3.153, what are characteristic and mantissa?

Answer: Option A

$$\begin{array}{rl}& \text{let }\log x=-3.153\\ & \text{then, }\log x=-3.153\\ & =-3+\left(-0.153\right)\\ & =\left(-3-1\right)+\left(1-0.153\right)\\ & =-4+0.847=\overline{4}.847\\ & \text{Hence,}\\ & \text{characteristic = - 4, mantissa = 0}\text{.847 }\end{array}$$