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

##### 1 Answer

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

#### 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

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