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.
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Information: IM 8.7.11 Lesson: Representing Small Numbers on the Number Line