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.
The federal debt of Country C at the end of fiscal year 2004, $278,560,125,000, can be expressed as $2.786 \times 10^{11}$.
To express the federal debt of $278,560,125,000 in the form of a single digit times an integer power of 10, we first need to determine the magnitude of the number before rounding it.
To estimate the magnitude, count the number of digits in the given amount:
$278,560,125,000 has 12 digits.
Now, to express it in the scientific notation form, we can round the number to the nearest single digit (2) and adjust the power of 10.
Since we rounded 278,560,125,000 to the nearest 1-digit number (2), the closest estimation is:
2 x 10^12
At the end of fiscal year 2004, the federal debt of Country C was $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.
Ans: 3 x 10^11
To estimate the closest value of the federal debt at the end of fiscal year 2004, we need to express the given amount in the form of a single digit times an integer power of 10.
The given amount, $278,560,125,000, is already in the correct format. It is written as a single digit (2) multiplied by 10 raised to the power of 11.
So the closest estimation of the federal debt at the end of fiscal year 2004 is $2 x 10^11.