Question

What is the correct answer for the calculation `(36 \times 0.12345)/ 6.77`?

Answer 1

If we take "correct" to mean scientifically accurate, then it would be
`0.66`.

Explanation:

Scientifically, we cannot claim knowledge of more information than is given. Thus even though we know ONE of the numbers to both five digits and the hundred-thousandths, it cannot make the inherent inaccuracy of the two-digit, singles-place 36. The 6.77 is in between as well.

The expression may be evaluated in any order, as it is just a combination of multiplication and division. The limiting factor in the final "calculator" answer of `0.656454948` is the two known values in the original `36` value.

THUS, the final answer may correctly only contain TWO significant figures. With the "uncertain" value in the thousandths place (6) (one beyond the "known" two-place accuracy), we "round up" the preceding digit (5) to a 6 for a final answer of `66`.