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question
point u is located at $5.2 \times 10^3$. plot point u on the number line below.
click on the graph to plot a point. click a point to delete it.
0 100,000
Step1: Simplify the scientific notation
First, we simplify \(5.2\times10^{3}\). Recall that \(10^{3}=1000\), so we calculate \(5.2\times1000\).
\(5.2\times1000 = 5200\)
Step2: Analyze the number line
The number line goes from \(0\) to \(100000\). Let's find the scale of the number line. From \(0\) to \(100000\), we can see how many intervals there are. But looking at the position, we know that \(5200\) is between \(0\) and \(100000\). To plot it, we can think of the number line's scale. If we assume the number line is divided into intervals, but since we know \(5.2\times 10^{3}=5200\), we plot the point at \(5200\) on the number line.
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To plot Point U, we first convert \(5.2\times10^{3}\) to \(5200\). Then, we plot the point at the position corresponding to \(5200\) on the number line (between \(0\) and \(100000\), closer to \(0\) than to \(100000\)).