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The simple rule is: no more significant figures than the least accurate of the values in the computation. For multiplication and division, the result should have as many significant figures as the measured number with the smallest number of significant figures. For addition and subtraction, the result should have as many decimal places as the measured number with the smallest number of decimal places. (Rounding off can be tricky, but that would be another thread)
There are three significant figures in the number 8.09. The first two digits, 8 and 0, are considered significant because they are non-zero numbers. The third digit, 9, is also significant because it follows a non-zero number and is a measured value.
3 significant figures.
If the conversion factor is exact, then the number of significant figures in the answer is the same as the number of significant figures in the original number.If the conversion factor is an approximation, then the number of significant figures in the result is the lesser of this number and the number of significant figures in the original number.
The least number of significant figures in any number of the problem determines the number of significant figures in the answer.