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
9 answers
3 times 10 superscript 11 baseline
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.
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.
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
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
To determine how many times less 102 is than 106, we can find the ratio of the two numbers.
The ratio of 102 to 106 is 102/106.
To express this ratio as an integer power of 10, we can simplify the numerator and denominator.
102 can be written as 100, and 106 can be written as 10,000 because both have two trailing zeros.
So, the ratio becomes 100/10,000 which simplifies to 1/100.
Therefore, 102 is 1/100 or 10^-2 times less than 106.
Expressed as an integer power of 10, the answer is 10^-2.
The ratio of 102 to 106 is 102/106.
To express this ratio as an integer power of 10, we can simplify the numerator and denominator.
102 can be written as 100, and 106 can be written as 10,000 because both have two trailing zeros.
So, the ratio becomes 100/10,000 which simplifies to 1/100.
Therefore, 102 is 1/100 or 10^-2 times less than 106.
Expressed as an integer power of 10, the answer is 10^-2.