The radius of a hydrogen atom is 0.0000000529177 of a millimeter. Express this number as an approximation
A. 0.0000005
B. 0.0000000053
C. 0.00000006
D. 0.00000005
The number 0.0000000529177 can be approximated as 0.00000005, which is option D
To express the radius of a hydrogen atom, which is 0.0000000529177 millimeters, as an approximation, we need to identify the correct option among A, B, C, and D.
Comparing the given radius with the options, we can see that option C (0.00000006) is the closest approximation to the given radius. Therefore, the correct answer is:
C. 0.00000006
To express the given radius of a hydrogen atom, 0.0000000529177 millimeters, as an approximation, we can simply round the number to a more manageable value.
Looking at the digits after the decimal point, we consider the next digit, which is 5. Since it is less than 5, we round down the preceding digit, which is 2. Therefore, the approximation of the radius is 0.00000005 (option D).
To arrive at this answer, you can follow these steps:
1. Identify the digit after the desired precision (in this case, the millionth place) which is 5.
2. Determine whether this digit is greater than or equal to 5 (it is equal to 5).
3. If the digit is greater than or equal to 5, round up the preceding digit. If it is less than 5, keep the preceding digit as-is.
4. Apply the rounding rule to obtain the approximation, which is 0.00000005 (option D) in this case.