Discussion
Characteristic of log 0.03 is
Answer: B
For a number smaller than 1 the characteristic is negative, and its size is one more than the count of zeros lying between the decimal point and the first significant figure:
\[ \text{characteristic} \;=\; -\left(\text{zeros after the point} + 1\right) \]
In 0.03 there is one such zero, so
\[ \text{characteristic} \;=\; -(1+1) \;=\; -2 \]
Check it against the standard form: \( 0.03 = 3 \times 10^{-2} \), so \( \log 0.03 = -2 + \log 3 \). Answer \( -1 \) is the trap for counting the zero but forgetting the extra one.
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