The radius of a hydrogen atom is 0.0000000529177 of a millimeter. Express this number as an approximation.(1 point)
Responses
(a) 0.00000005
0.00000005
(b) 0.0000000053
0.0000000053
(c) 0.0000005
0.0000005
(d) 0.00000006
The correct approximation is (a) 0.00000005.
How many times is 4 × 104 larger than 2 × 102 ?(1 point)
Responses
2,000
2,000
2
2
20
20
200
To calculate how many times 4 × 10^4 is larger than 2 × 10^2, we can simplify the expression:
4 × 10^4 / (2 × 10^2) = (4/2) × (10^4 / 10^2) = 2 × 10^2
Therefore, 4 × 10^4 is 200 times larger than 2 × 10^2.
The correct response is (d) 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
3 × 1011
3 times 10 superscript 11 baseline
2 × 1011
2 times 10 superscript 11 baseline
3 × 10−11
3 times 10 superscript negative 11 baseline
2.79 × 1011
The closest estimation of the federal debt of Country C at the end of fiscal year 2004, $278,560,125,000, is 2.79 × 10^11.
The correct response is (d) 2.79 × 10^11.
How many times less is 102 than 106 ? Express your answer as an integer power of 10.(1 point)
Responses
0.0001
0.0001
10−4
10 superscript negative 4 baseline
104
10 superscript 4 baseline
10,000
To determine how many times less 10^2 is than 10^6, we can calculate:
10^6 / 10^2 = 10^(6-2) = 10^4
Therefore, 10^2 is 10^4 times less than 10^6.
The correct response is (c) 10^4.
Question
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 × 109
3 times 10 superscript 9 baseline
3 × 108
3 times 10 superscript 8 baseline
3 × 10−8
3 times 10 superscript negative 8 baseline
3 × 10−9
To express the number in the form of a × 10^n, where 1 < a < 10 and is a one-digit number, we can represent 0.000000003 as 3 × 10^(-9).
Therefore, the correct response is (d) 3 × 10^(-9).
Neutrons are blue
Protons are red
Electrons are green
Which of the following do you need to add to complete this model of a neutral Beryllium (Be) atom? Choose all that apply. (Hint: Make sure to check how many particles are already in the model.)
(2 points)
Responses
1 more proton
1 more proton
2 more neutrons
2 more neutrons
3 more electrons
3 more electrons
2 more electrons
2 more electrons
1 more neutron