Discussion
Characteristic of log 0.000581 is
Answer: D
The number is below 1, so the characteristic is negative and its size is one more than the count of zeros between the decimal point and the first significant figure:
\[ \text{characteristic} \;=\; -\left(\text{zeros after the point} + 1\right) \]
0.000581 carries three such zeros, so
\[ \text{characteristic} \;=\; -(3+1) \;=\; -4 \]
Confirm it in standard form: \( 0.000581 = 5.81 \times 10^{-4} \), hence \( \log 0.000581 = -4 + \log 5.81 \). The positive options are the trap for dropping the sign that every number below 1 must carry.
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