The radius of a hydrogen atom is 0.0000000529177 of a millimeter. Express this number as an approximation.
a 0.0000000053
b 0.00000005
c 0.0000005
d 0.00000006
The number can be approximated as 0.00000005, which is option b.
How many times is 4 x 10^4 larger than 2 x 10^2?
a 20
b 200
c 2,000
d 2
To compare the two numbers, we can divide them:
(4 x 10^4) / (2 x 10^2) = (4/2) x (10^4 / 10^2) = 2 x 10^2 = 200
So, 4 x 10^4 is 200 times larger than 2 x 10^2. The answer is option b, 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.
a 3 x 10^11
b 3 x 10^-11
c 2.79 x 10^11
d 2 x 10^11
The closest estimation of the federal debt of Country C at the end of fiscal year 2004 is $2.79 x 10^11, which is option c.
How many times less is 10^2 than 10^6? express your answer as an integer power of 10.
a 0.0001
b 10,000
c 10^4
d 10^-4
To compare the two numbers, we can divide them:
(10^2) / (10^6) = 10^(2-6) = 10^(-4)
Therefore, 10^2 is 10^-4 times less than 10^6. The answer is option d, 10^-4.
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 x 10^n where 1 < a < 10 and is a one-digit number.
a 3 x 10^8
b 3 x 10^-9
c 3 x 10^-8
d 3 x 10^9
To express the given number in the form of a x 10^n, we can use scientific notation:
0.000000003 = 3 x 10^(-9)
So, the answer is option b, 3 x 10^(-9).
To express the given number as an approximation, we need to determine the number closest to it from the given choices.
The radius of a hydrogen atom is approximately 0.0000000529177 of a millimeter.
Looking at the options:
a) 0.0000000053
b) 0.00000005
c) 0.0000005
d) 0.00000006
From the given options, the number closest to the given radius is 0.00000005 (option b).
Therefore, the approximation for the given radius is 0.00000005.