Question

at the end of fiscal year 2004 the federal dept country Sea is 278, 560, 125, 000. What is the closest estimation of this amount express your answer in the form of a single digit times and integer power of 10 so would the answer be 2×10 with the power of 11 3×10 with the power of 11 3×10 negative power of 11 or 2.79×10 power of 11

Answer 1

To express the federal debt amount of 278,560,125,000 in scientific notation, you want to convert it into the form of a single digit times an integer power of 10.

1. First, identify the significant digits: 2.78560125.
2. Move the decimal point to the right position (after the first digit) to express the number in scientific notation.

The original number is 278,560,125,000. You can write this as:

\[ 2.78560125 \times 10^{11} \]

Now, to round it to the nearest number that fits your choices:

• The number approximately rounds to \( 2.79 \) when considered only to two decimal points.

So the closest expression in the form of a single digit times an integer power of 10 is:

2.79×10^11

Therefore, the answer is 2.79×10^11.