Question

Find the product of $6.8\text{miles}\left(\frac{5280\text{feet}}{1\text{mile}}\right)$. Include the appropriate units with your answer.

Short answer

The simplified multiplication is written as$6.8\text{miles}\left(\frac{5280\text{feet}}{1\text{mile}}\right)=35904\text{feet}$.

Step-by-step solution

Step 1. Write down the given information.

The given multiplication to be evaluated is $6.8\text{miles}\left(\frac{5280\text{feet}}{1\text{mile}}\right)$.

Step 2. Calculation.

Simplifying the given multiplication $6.8\text{miles}\left(\frac{5280\text{feet}}{1\text{mile}}\right)$.

$\begin{array}{c}6.8\text{miles}\left(\frac{5280\text{feet}}{1\text{mile}}\right)=\left(6.8\text{miles}\right)\left(\frac{5280\text{feet}}{1\text{mile}}\right)\\ =6.8\text{miles}\times \frac{5280\text{feet}}{1\text{mile}}\\ =6.8\times 5280\text{\hspace{0.33em}feet}\\ =35904\text{\hspace{0.33em}feet}\end{array}$

Step 3. Conclusion.

The simplified multiplication is written as $6.8\text{miles}\left(\frac{5280\text{feet}}{1\text{mile}}\right)=35904\text{feet}$.