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Question
question
point s is located at $9.9 \times 10^3$. plot point s on the number line below.
click on the graph to plot a point. click a point to delete it.
$10^5$
answer attempt 1 out of 2
Step1: Convert \(9.9\times10^{3}\) to standard form
\(9.9\times10^{3}=9.9\times1000 = 9900\)
Step2: Analyze the number line
The number line ranges from \(0\) to \(10^{5}=100000\). Let's assume the number line is divided into equal intervals. First, find the scale of the number line. From \(0\) to \(10^{5}\), if we consider the number of ticks (assuming the ticks are evenly spaced), but since we know \(9900\) is much closer to \(0\) than to \(10^{5}\). \(9900\) is \(9.9\times10^{3}\), and the first few ticks (assuming each tick represents a multiple of \(10^{3}\) or a similar scale) would have \(10^{3} = 1000\), \(2\times10^{3}=2000\),..., \(9\times10^{3}=9000\), \(10\times10^{3}=10000\). So \(9.9\times10^{3}\) is just before the \(10\times10^{3}\) mark (which is \(10000\)). So we plot the point at the position corresponding to \(9900\) on the number line.
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(Plot the point at the position corresponding to 9900 on the number line. Since the actual plotting is done by clicking on the graph, the key is to identify that \(9.9\times10^{3}=9900\) and place the point at that value's location on the number line from 0 to \(10^{5}\).)