Question

A football field measures 300 feet in length. It can also be expressed as approximately 5.7x10^n miles. If there are 5,280 feet in 1 mile, which is the most reasonable value of n?
A.) -3. B.) -2. C.) 2 (incorrect.) D.) 3.

Answer 1

The answer is letter B) -2. To solve for this, you first have to divide 300 by the number of feet in 1 mile. It will be 300/5280 which will result to 0.05681818182. Then round off the value to 0.057 and express it in exponential term. Hope this helps.

Answer 2

Answer:  B.) -2.

Step-by-step explanation:

Given: The length of the football field = 300 feet

It can also be expressed as approximately  $5.7\times10^n\ miles.$

Also, 1 mile = 5280 feet

Therefore, 1 feet=$\frac{1}{5280}\ mile$

Now, 300 feet=$\frac{1}{5280}\times300\ mile$

⇒ 300 feet=$=0.0568181818182\approx0.057\ mile$

In scientific notation, 300 feet=$5.7\times10^{-2}$

When we compare to $5.7\times10^n\ miles.$

We get n = -2.