The radius of a hydrogen atom is 0.0000000529177 of a millimeter. Express this number as an approximation.(1 point)
Responses
0.00000006
0.00000006
0.0000000053
0.0000000053
0.00000005
0.00000005
0.0000005
The approximate value of the radius of a hydrogen atom is 0.00000005 (50 billionths) of a millimeter.
How many times is 4 × 10^4 larger than 2 × 10^2 ?(1 point)
Responses
200
200
2
2
20
20
2,000
To compare the values, we need to divide 4 × 10^4 by 2 × 10^2:
(4 × 10^4) / (2 × 10^2) = (4/2) × (10^4 / 10^2) = 2 × 10^(4-2) = 2 × 10^2
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
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 closest estimation of $278,560,125,000 is 2.79 × 10^11.
How many times less is 102 than 106 ? Express your answer as an integer power of 10.(1 point)
Responses
10,000
10,000
104
10 superscript 4 baseline
10−4
10 superscript negative 4 baseline
0.0001
To determine how many times less 102 is than 106, we need to divide 106 by 102:
(106) / (102) = 1.04
Therefore, 102 is 10^(-4) (0.0001) times less than 106.
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 × 10n where 1 < a < 10 and is a one-digit number.(1 point)
Responses
3 × 108
3 times 10 superscript 8 baseline
3 × 10−9
3 times 10 superscript negative 9 baseline
3 × 109
3 times 10 superscript 9 baseline
3 × 10−8
To express the given number in the required form, we can use scientific notation.
0.000000003 can be written as 3 × 10^(-9).
Therefore, it takes light less than 0.000000003 of a second to travel a one-meter distance can be expressed as 3 × 10^(-9).