To determine how tall a stack of 4 trillion one dollar bills would be, we first need to calculate how thick the stack would be when we have 4 trillion bills.
Given:
- Thickness of one dollar bill = \(0.0001\) meters
- Number of bills = \(4\) trillion = \(4 \times 10^{12}\) bills
First, we can find the total thickness of the stack by multiplying the number of bills by the thickness of one bill:
\[ \text{Total thickness} = \text{Number of bills} \times \text{Thickness of one bill} \]
Substituting the values:
\[ \text{Total thickness} = (4 \times 10^{12}) \times (0.0001) \]
Next, we can express \(0.0001\) in scientific notation:
\[ 0.0001 = 1 \times 10^{-4} \]
Now substituting this into the equation:
\[ \text{Total thickness} = (4 \times 10^{12}) \times (1 \times 10^{-4}) \]
Using the properties of exponents:
\[ \text{Total thickness} = 4 \times 1 \times 10^{12} \times 10^{-4} = 4 \times 10^{12 - 4} = 4 \times 10^{8} \]
Thus, the height of the stack of 4 trillion one dollar bills is:
\[ \boxed{4 \times 10^8} \text{ meters} \]
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