The radius of a hydrogen atom is 0.0000000529177 of a millimeter. Express this number as an approximation.(1 point) Responses 0.0000000053 0.0000000053 0.00000006 0.00000006 0.00000005 0.00000005 0.0000005 0.0000005
0.000000053
How many times is 4 × 104 larger than 2 × 102 ?(1 point) Responses 20 20 200 200 2 2 2,000
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 2.79 × 1011 2.79 times 10 superscript 11 baseline 3 × 10−11 3 times 10 superscript negative 11 baseline
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 0.0001 0.0001 104 10 superscript 4 baseline 10−4 10 superscript negative 4 baseline
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 × 10n where 1 < a < 10 and is a one-digit number.(1 point) Responses 3 × 10−8 3 times 10 superscript negative 8 baseline 3 × 10−9 3 times 10 superscript negative 9 baseline 3 × 109 3 times 10 superscript 9 baseline 3 × 108
3 × 10^-9
To express the given number, which is 0.0000000529177, as an approximation, you need to round it to the desired number of decimal places.
Looking at the options given, you can see two choices that are close to the given number: 0.00000005 and 0.00000006.
To decide which one is the best approximation, you can consider the digits after the sixth decimal place. In this case, the digit after the sixth decimal place is 2.
According to rounding rules, if the digit after the desired decimal place is less than 5, you round down, and if it is 5 or greater, you round up. Since the digit after the sixth decimal place, 2, is less than 5, you would choose to round down.
Therefore, the best approximation for the given number is 0.00000005.