\( \begin{aligned}
&\text{For 2 s.f., the last significant figure is the tenths place.} \\
&\text{Error bound is half of } 0.1 = 0.05.
\end{aligned} \)
Question 8:
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\[ \begin{aligned}
&\text{A number } x \text{ is written correct to 2 significant figures.} \\
&\text{The result is } 5.0. \\
&\text{Complete the error interval for } x.
\end{aligned} \]
Answer:\(4.95 \le x < 5.05\)
Explanation:
\begin{aligned}
&\text{Rounded to 2 significant figures, the number is } 5.0. \\
&\text{The last significant figure is the tenths.} \\
&\text{Half of } 0.1 \text{ is } 0.05. \\
&\text{So } x \text{ is at least } 5.0 - 0.05 = 4.95 \\
&\text{but less than } 5.0 + 0.05 = 5.05.
\end{aligned}