Estimate Large and Small Quantities Quick Check

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Question
The radius of a hydrogen atom is 0.0000000529177 of a millimeter. Express this number as an approximation.(1 point)
Responses

0.0000000053
0.0000000053

0.0000005
0.0000005

0.00000005
0.00000005

0.00000006

1 answer

To express the radius of a hydrogen atom, which is given as \(0.0000000529177\) millimeters, we can round this number to a more manageable approximation.

Looking at the digits, the number can be approximated as follows:

  • The first significant digit is \(5\)
  • The next significant digit is \(2\)
  • Since the digits \(9\), \(1\), and \(7\) are less than \(5\), we do not round up.

Thus, rounding \(0.0000000529177\) gives us approximately \(0.00000005\).

So, the best choice for approximation is:

0.00000005