The radius of a hydrogen atom is 0.0000000529177 of a millimeter. Express this number as an approximation.(1 point)
Responses
0.00000005
0.00000005
0.0000000053
0.0000000053
0.0000005
0.0000005
0.00000006
The radius of a hydrogen atom can be approximated as 0.00000005 millimeters.
How many times is 4 × 10^4 larger than 2 × 10^2 ?(1 point)
Responses
20
20
2
2
2,000
2,000
200
To determine how many times 4 × 10^4 is larger than 2 × 10^2, we can divide the first number by the second number.
(4 × 10^4) / (2 × 10^2) = (4/2) × (10^4/10^2) = 2 × 10^2 = 200
Therefore, 4 × 10^4 is 200 times larger than 2 × 10^2.
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
3 × 1011
3 times 10 superscript 11 baseline
3 × 10−11
3 times 10 superscript negative 11 baseline
2.79 × 1011
2.79 times 10 superscript 11 baseline
2 × 10^11
The closest estimation of $278,560,125,000 would be 2.79 × 10^11.
How many times less is 10^2 than 10^6 ? Express your answer as an integer power of 10.(1 point)
Responses
104
10 superscript 4 baseline
10−4
10 superscript negative 4 baseline
10,000
10,000
0.0001
To determine how many times less 10^2 is than 10^6, we can divide the larger number by the smaller number.
(10^6) / (10^2) = 10^(6-2) = 10^4
Therefore, 10^2 is 10^4 times less than 10^6.
Roughly, it takes light less than 0.000000003 of a second to travel a one-meter distance. Express this number in the form of a × 10^n where 1 < a < 10 and is a one-digit number.(1 point)
Responses
3 × 10−9
3 times 10 superscript negative 9 baseline
3 × 108
3 times 10 superscript 8 baseline
3 × 109
3 times 10 superscript 9 baseline
3 × 10−8
Roughly, it takes light less than 0.000000003 of a second to travel a one-meter distance. This can be expressed as 3 × 10^(-9).
To express the radius of a hydrogen atom as an approximation, we can round the given value to a certain number of decimal places. The original value is 0.0000000529177 millimeters.
If we round to eight decimal places, the approximation would be 0.00000005.
If we round to ten decimal places, the approximation would be 0.0000000053.
If we round to seven decimal places, the approximation would be 0.00000006.
Therefore, the closest approximation to the given value is 0.00000005.