Look at the data in the table below. Which measurement has four significant figures?

\begin{tabular}{|l|l|}
\hline Time (s) & Velocity [tex]$(m/s)$[/tex] \\
\hline 1 & 0.275 \\
\hline 2 & 750 \\
\hline 3 & [tex]$10.4 \times 10^5$[/tex] \\
\hline 4 & 11,890 \\
\hline 5 & 320,050 \\
\hline
\end{tabular}

A. 11,890
B. [tex]$10.4 \times 10^5$[/tex]
C. 320,050
D. 0.275



Answer :

To determine which measurement has four significant figures, we need to analyze the significant figures of each provided measurement. Here's the step-by-step analysis:

1. Measurement 11,890:
- Significant figures are all non-zero digits and any zeros between them or after the decimal point, if present.
- Result: 1, 1, 8, 9, and 0 — five significant figures.

2. Measurement [tex]\(10.4 \times 10^5\)[/tex]:
- The standard form [tex]\(10.4 \times 10^5\)[/tex] contains 10, 4, and the '4' zeroes in between which are significant.
- Result: 1, 0, and 4 — three significant figures.

3. Measurement 320,050:
- Includes all non-zero digits and any zeros between them.
- Leading and trailing zeros without a decimal point are not significant unless stated otherwise.
- Result: 3, 2, 0, 0, 5 and 0 — six significant figures.

4. Measurement 0.275:
- All non-zero digits and any zeros between them or after the decimal point are significant.
- Leading zeros are not significant.
- Result: 2, 7, and 5 — three significant figures.

After analyzing all measurements, we see none of them has exactly four significant figures. Thus, if this were a multiple-choice question, none of the provided choices would accurately match the requirement of having exactly four significant figures. Consequently, there is no valid option within the choices presented.

So, the answer to the question, "Which measurement has four significant figures?" is effectively - none of the above, symbolized by the result -1 in situations where numerical options represent such cases.