The radius of a hydrogen atom is 0.0000000529177 of a millimeter. Express this number as an approximation.(1 point)
Responses
0.0000005
0.0000005
0.00000005
0.00000005
0.0000000053
0.0000000053
0.00000006
0.00000006
The correct approximation of the radius of a hydrogen atom is 0.000000053.
How many times is 4 × 10^4 larger than 2 × 10^2?(1 point)
Responses
20
20
200
200
2,000
2,000
2
To determine how many times 4 × 10^4 is larger than 2 × 10^2, we can divide 4 × 10^4 by 2 × 10^2:
(4 × 10^4) / (2 × 10^2) = 2 × 10^2
So, 4 × 10^4 is 200 times larger than 2 × 10^2.
The approximate value for the radius of a hydrogen atom, which is 0.0000000529177 millimeters, is 0.00000005.
To express the given radius of a hydrogen atom, which is 0.0000000529177 millimeters, as an approximation, let's consider the number of significant figures.
Significant figures are the digits in a number that carry meaning in terms of measurement or precision. The given number has 10 decimal places after the zero, but we need to determine the appropriate number of significant figures.
In this case, the significant figures can be determined by examining the digits until a non-zero digit is encountered. In the given number, the first non-zero digit is "5" after the decimal point. Thus, we would have a total of 5 significant figures.
To express this number as an approximation, we can round it to the appropriate number of significant figures. The digit at the 6th decimal place is "7," which is greater than or equal to 5. Therefore, the rounded approximation would be 0.000000053 (rounded to 5 significant figures).
So, out of the provided options, the correct approximation is 0.0000000053.