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
0.0000000053
0.0000000053
0.00000005
0.00000005
0.00000006
The correct answer is 0.00000005.
How many times is 4 × 10^4 larger than 2 × 10^2 ?(1 point)
Responses
200
200
2
2
2,000
2,000
20
The correct answer is 200.
At the end of fiscal year 2004, the federal debt of Country C is $278,560,125,000. What is the closest estimation of this amount? Express your answer in the form of a single digit times an integer power of 10.(1 point)
Responses
2.79 × 1011
2.79 times 10 superscript 11 baseline
3 × 10−11
3 times 10 superscript negative 11 baseline
2 × 1011
2 times 10 superscript 11 baseline
3 × 1011
The correct answer is 2.79 × 10^11.
The closest approximation for the radius of a hydrogen atom is 0.000000053.
To express the radius of a hydrogen atom as an approximation, we need to determine which of the provided options is closest to the given value of 0.0000000529177 millimeters.
Comparing the given value to the available options:
- 0.0000005 is larger than 0.0000000529177, so we can eliminate this option.
- 0.0000000053 is smaller than 0.0000000529177, so we can eliminate this option as well.
- 0.00000005 is smaller than 0.0000000529177, but it is closer in value compared to the remaining option.
- 0.00000006 is larger than 0.0000000529177, so we can eliminate this option.
Therefore, the closest approximation to the given value of the radius of a hydrogen atom is 0.00000005 millimeters.