The radius of a hydrogen atom is 0.0000000529177 of a millimeter. Express this number as an approximation.(1 point)

0.0000005
0.0000000053
0.00000006
0.00000005

0.00000005

are you sure

I apologize for my mistake. The correct approximation for 0.0000000529177 is 0.00000005. Thank you for bringing this to my attention.

How many times is 4 × 10^4 larger than 2 × 10^2 ?(1 point)

20
2
200
2,000

To compare, you need to divide (4 x 10^4) by (2 x 10^2):

(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.

Therefore, the 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)

2.79 × 10^11
3 × 10^−11
3 × 10^11
2 × 10^11

To express $278,560,125,000 in scientific notation, we want to move the decimal to the right between the first two non-zero digits.

$278,560,125,000 is equal to $2.78560125 x 10^11.

Rounding to a single digit, the closest estimation would be 2.8 x 10^11.

Therefore, the closest estimation of this amount is 2.8 x 10^11.

so which answer would it be

The closest estimation of $278,560,125,000 expressed in scientific notation as a single digit times an integer power of 10 is 2.8 x 10^11.

Among the given options:
- 2.79 x 10^11 is the closest approximation.

Therefore, the answer should be 2.79 x 10^11.

How many times less is 10^2 than 10^6 ? Express your answer as an integer power of 10.(1 point)

0.0001
10,000
10^4
10^−4