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.
A. 3×10^-¹¹
B. 2×10¹¹
C. 3×10¹¹
D. 2.79×10¹¹
The closest estimation of the given amount is D. 2.79×10¹¹.
How many times less is 10² than 10⁶? Express your answer as an intger power of 10.
A. 10,000
B. 0.0001
C. 10⁴
D. 10^-⁴
To determine how many times less 10² is than 10⁶, we can calculate the ratio of 10² to 10⁶:
10² / 10⁶ = 1 / 10⁴
Therefore, the answer is C. 10⁴.
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×10^n where 1<a<10 and is a one-digit number.
A. 3×10^-⁸
B. 3×10⁸
C. 3×10^-⁹
D. 3×10⁹
To express the given number in the form of a×10^n, where 1 < a < 10 and a is a one-digit number, we convert the number to scientific notation.
0.000000003 can be written as 3 × 10^(-9).
Therefore, the answer is C. 3×10^(-9).
To express the given amount in the form of a single digit times an integer power of 10, we first need to determine the number of digits in the given amount.
The given federal debt is 278,560,125,000.
Counting the digits, we find that there are 12 digits in total.
Since the given amount has 12 digits, we can express it as 2.79 × 10¹¹.
Therefore, the closest estimation of this amount is option D: 2.79 × 10¹¹.
To find the closest estimation of the federal debt of country C at the end of fiscal year 2004, we need to express the given value in scientific notation.
The value of the federal debt is 278,560,125,000. To express this value in scientific notation, we move the decimal point until it is located after the first non-zero digit. In this case, after moving the decimal point to the left 11 places, we get 2.78560125.
Next, we need to multiply this number by 10 raised to the power that corresponds to the number of places we moved the decimal point. In this case, we moved the decimal point 11 places to the left, so we multiply by 10^11.
Thus, the closest estimation of the federal debt of country C is 2.79×10¹¹ (option D).