CMA Foundation · Fundamentals of Business Mathematics and Statistics · Indices and Logarithms
What is the characteristic of log10 (0.00362)?
The characteristic is -3 (written as 3 bar). The number 0.00362 has two zeros immediately after the decimal point, so its characteristic is the negative of (zeros + 1), which is -3, since 0.00362 = 3.62 × 10^-3.
- A-3Correct
- B-2
- C2
- D3
Explanation
0.00362 = 3.62 × 10^-3, so log10 lies between -3 and -2, and the characteristic is -3 (written 3 bar). Option -2 wrongly counts the zeros after the decimal point (2 zeros) instead of adding one to it.
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