Question 1.CC.6: Determination of Significant Figures for Final Answer Perfor......
Determination of Significant Figures for Final Answer
Perform the following calculation of measured numbers. Give the final answer with the correct number of significant figures.
\frac{8.560}{(2.84)(0.078)}
Step-by-Step
The calculation is performed as follows:
\begin{matrix} \underset{\text{Four SFs}}{8.560} ÷ \underset{\text{Three SFs}}{2.84} ÷ \underset{\text{Two SFs}}{0.078} = \underset{\begin{matrix} \text{ Calculator}\\ \text{display} \end{matrix}}{38.64210906} \longrightarrow \underset{\begin{matrix}\text{Final answer, rounded} \\ \text{off to two SFs}\end{matrix}}{ 39} \\ \end{matrix}
The measurement with only two SFs limits the final answer to two SFs. To obtain the final answer, the calculator display must be rounded off by dropping all the digits after the 38. Because the first dropped digit 6 is greater than 5, the last retained digit is increased by one to give the final answer of 39.
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