Question

The annual expenditure of the US federal government is approximately 444 trillion dollars. If a one-dollar bill is 0.0001 meters thick, how many meters tall would a stack of 444 trillion one-dollar bills be? Write your answer in scientific notation.

Answer 1

A stack of 444 trillion one-dollar bills, each 0.0001 meters thick, would be 4.44 x 10^10 meters tall in scientific notation.

Step-by-step explanation:

The question asks how tall a stack of 444 trillion one-dollar bills would be if each bill is 0.0001 meters thick.

To find the height, we multiply the number of bills by the thickness of each bill. We would do as follows:

1. First, we note the thickness of one dollar bill: 0.0001 meters.
2. Next, we have the total number of one-dollar bills: 444 trillion, which is 444 x 1012 bills.
3. To find the total height, multiply these numbers: Height = 444 x 1012 x 0.0001 meters.
4. Which gives us: Height = 44.4 x 1012 x 10-4 = 44.4 x 108 meters.
5. Finally, we express this in scientific notation as 4.44 x 1010 meters.

Therefore, a stack of 444 trillion one-dollar bills would be 4.44 x 1010 meters tall when written in scientific notation.