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question simplify to the correct number of significant figures \\frac{4…

Question

question
simplify to the correct number of significant figures \frac{450 m}{110 s}.
provide your answer below:
\frac{m}{s}

Explanation:

Step1: Calculate the division

$$\frac{450}{110}=4.090909\cdots$$

Step2: Determine significant figures

The number \(450\) has \(2\) significant figures (the trailing zero is ambiguous but in a measurement context, if no decimal is present, non - zero digits count; here \(4\) and \(5\)). The number \(110\) has \(2\) significant figures ( \(1\) and \(1\)). When dividing, the result should have the same number of significant figures as the least - precise measurement. So we round \(4.090909\cdots\) to \(2\) significant figures. Rounding \(4.090909\cdots\) to two significant figures gives \(4.1\).

Answer:

$4.1\ \frac{m}{s}$