To express the radius of a hydrogen atom, \(0.0000000529177\) millimeters, as an approximation, we should look for the closest option that represents its value in a simplified form.
The number \(0.0000000529177\) can also be expressed in scientific notation:
- It is approximately \(5.29 \times 10^{-8}\) millimeters.
When approximating, we would look at the significant figures. Here’s a breakdown of the options given:
- 0.0000005 is \(5 \times 10^{-7}\), which is higher than the original.
- 0.0000000053 is \(5.3 \times 10^{-9}\), which is too low.
- 0.00000005 is \(5 \times 10^{-8}\), which is a good approximation.
- 0.00000006 is \(6 \times 10^{-8}\), which is also a bit too high.
Thus, the best estimate from the provided options is 0.00000005.
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