IM 8.7.11 Lesson: Representing Small Numbers on the Number Line
Kiran drew this number line.
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[/img][br][size=150][br]Andre said, “That doesn’t look right to me.”[br][br]Explain why Kiran is correct or explain how he can fix the number line.[/size]
Which is larger, [math]29\cdot10^-7[/math] or [math]6\cdot10^{-6}[/math]? Estimate how many times larger.
Which is larger, [math]7\cdot10^{-8}[/math] or [math]3\cdot10^{-9}[/math]? Estimate how many times larger.
The radius of an electron is about 0.0000000000003 cm.
The mass of a proton is about 0.0000000000000000000000017 grams.
Point A on the zoomed-in number line describes the wavelength of a certain X-ray in meters.
8.7.11 Practice: Representing Small Numbers on the Number Line
Select [b]all[/b] the expressions that are equal to [math]4\cdot10^{-3}[/math]
Write each expression as a multiple of a power of 10:
A family sets out on a road trip to visit their cousins. They travel at a steady rate. The graph shows the distance remaining to their cousins' house for each hour of the trip.
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[/img][br]How fast are they traveling?
Is the slope positive or negative? Explain how you know and why that fits the situation.
How far is the trip and how long did it take? Explain how you know.