a football field measures 300 feet in length. it can also be expressed as approximately 5.7×10^n miles. if…

a football field measures 300 feet in length. it can also be expressed as approximately 5.7×10^n miles. if there are 5,280 feet in 1 mile, which is the most reasonable value of n?\n-3\n-2\n2\n3

a football field measures 300 feet in length. it can also be expressed as approximately 5.7×10^n miles. if there are 5,280 feet in 1 mile, which is the most reasonable value of n?\n-3\n-2\n2\n3

Answer

Explanation:

Step1: Set up conversion equation

Let's convert 300 feet to miles. We know that 1 mile = 5280 feet. So the number of miles in 300 feet is $\frac{300}{5280}$.

Step2: Simplify the fraction

$\frac{300}{5280}=\frac{300\div 120}{5280\div 120}=\frac{2.5}{44}\approx0.057$.

Step3: Write in scientific - notation

$0.057 = 5.7\times10^{-2}$.

Answer:

-2