Q: Find the percentage error in expressing the length 810472 km with three significant digits as accurately as possible.

A 0.023%
B 0.034%
C 4.56%
D 2.98%

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Answer: B

Explanation:

Calculate the error percentage for a measurement of 81.5 kilometers, with a known value of 81.472 kilometers. 

To do this, you can subtract the known value from the measured value to get the error, and then divide the error by the known value and multiply by 100% to express the error as a percentage.

Using the formula you provided, the error percentage would be calculated as follows:

Error = (81.5 – 81.472) km = 0.028 km
Required percentage = [(0.028/81.472) * 100]% = 0.034%

This means that the error in the measurement is 0.034%.

Q: Find the percentage error in expressing the length 810472 km with three significant digits as accurately as possible.

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