Question

If a one dollar bill is
\[0.0001\] meters thick, how many meters tall would a stack of
\[4\] trillion one dollar bills be?
Write your answer in scientific notation

Answer 1

To find the height of a stack of \( 4 \) trillion one dollar bills, we start with the thickness of one dollar bill, which is \( 0.0001 \) meters.

We first convert \( 4 \) trillion into a numerical form:

\[
4 \text{ trillion} = 4 \times 10^{12}
\]

Next, we calculate the total height of the stack by multiplying the thickness of one bill by the total number of bills:

\[
\text{Total height} = 4 \times 10^{12} \text{ bills} \times 0.0001 \text{ meters/bill}
\]

Calculating this gives:

\[
\text{Total height} = 4 \times 10^{12} \times 10^{-4} \text{ meters}
\]

To combine the powers of ten:

\[
\text{Total height} = 4 \times 10^{12 - 4} \text{ meters} = 4 \times 10^{8} \text{ meters}
\]

Thus, the height of a stack of \( 4 \) trillion one dollar bills is:

\[
\boxed{4 \times 10^{8}} \text{ meters}
\]