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JEE MATHEMATICS MCQ: ERRORS & APPROXIMATION

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Application +4 | -1
If log⁡102=0.3010\log _{10} 2=0.3010 and log⁡103=0.4771\log _{10} 3=0.4771 then number of ciphers after decimal before a significant figure comes in (53)−100\left(\frac{5}{3}\right)^{-100} is
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Correct option: B
22
Option C (23) is incorrect, but Option B (22) is correct because the characteristic of the logarithm is -23, implying 22 ciphers after the decimal point.

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