Answer:
[tex]4*10^{8}\text{ meters}=400,000,000\text{ meters}[/tex].
Step-by-step explanation:
We have been given that a one dollar bill is 0.0001 meters thick. We are asked to find the height of a stack of 4 trillion one dollar bills.
We know that [tex]\text{1 trillion}=10^{12}[/tex]. To find the thickness of a stack of 4 trillion one dollar bills we will multiply 0.0001 by 4 trillion.
Let us convert 0.0001 into scientific notation as:
[tex]0.0001=1\times 10^{-4}[/tex]
[tex]\text{The height of 4 trillion one dollar bills}=4*10^{12}\times 1\times 10^{-4}\text{ meters}[/tex]
Using exponent property [tex]a^b\times a^c=a^{b+c}[/tex] we will get,
[tex]\text{The height of 4 trillion one dollar bills}=4*10^{12-4}\text{ meters}[/tex]
[tex]\text{The height of 4 trillion one dollar bills}=4*10^{8}\text{ meters}=400,000,000\text{ meters}[/tex]
Therefore, the stack of 4 trillion one dollar bills would be [tex]4*10^{8}\text{ meters}=400,000,000\text{ meters}[/tex].
