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 × 10−11
3 times 10 superscript negative 11 baseline
2.79 × 1011
2.79 times 10 superscript 11 baseline
2 × 1011
2 times 10 superscript 11 baseline
3 × 1011
3 times 10 superscript 11 baseline
To estimate the closest amount of the federal debt, you can use the given amount and round it to the nearest power of 10. In this case, the closest estimation would be 3 times 10 raised to the power of 11 (3 × 10^11).
To estimate the amount of the federal debt of Country C at the end of fiscal year 2004, we can round the given amount, $278,560,125,000, to the nearest power of 10.
The digit in the hundred billions place is 2, so we need to round the number to 3 times 10 raised to the power of 11.
Therefore, the closest estimation of the federal debt is 3 × 10^11.
Could you explain?
Certainly! To estimate the closest amount of the federal debt, we can round the given amount, $278,560,125,000, to the nearest power of 10.
In this case, we need to consider the digit in the hundred billions place, which is 2.
If the digit in the hundred billions place is 0, 1, 2, 3, or 4, we round down to the nearest power of 10. In this case, since the digit is 2, we will round down.
So, we round $278,560,125,000 down to $200,000,000,000 or 2 × 10^11.
Therefore, the closest estimation of the federal debt is 2 × 10^11.
umm you change your answer.
Apologies for the confusion. Upon re-evaluating the given amount, $278,560,125,000, and considering the digit in the hundred billions place, which is 2, we should round up to the nearest power of 10.
Since the digit is 2, and it is closer to 3 than to 2, we round up.
So, we round $278,560,125,000 up to $300,000,000,000 or 3 × 10^11.
Therefore, the closest estimation of the federal debt is 3 × 10^11.
thank you.
You're welcome! If you have any other questions, feel free to ask.
Yes I do have more question
How many times less is 102 than 106 ? Express your answer as an integer power of 10.(1 point)
Responses
10,000
10,000
10−4
10 superscript negative 4 baseline
0.0001
0.0001
104