To approximate the radius of a hydrogen atom, which is \(0.00000000529177\) millimeters, we can round it to a suitable level of precision.
Looking at the number:
- The first significant digit is 5, followed by 2, 9, and 1.
- Rounding this to three significant figures gives us \(0.00000000529\).
Now, comparing the options for the closest approximation:
A. \(0.0000006\) (which is \(0.6 \times 10^{-6}\))
B. \(0.000005\) (which is \(5.0 \times 10^{-6}\))
C. \(0.0000005\) (which is \(0.5 \times 10^{-6}\))
D. \(0.0000000053\) (which is \(5.3 \times 10^{-9}\))
The closest approximation to \(0.00000000529177\) is D. \(0.0000000053\).
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