Question

There are about 1.6×10^3 meters in a mile. About how many miles are there in 3.52×10^7 meters? Write your answer in scientific notation, expressed to the exact decimal place.(1 point)

Answer 1

To convert meters to miles, we need to divide the given number of meters by the number of meters in a mile.

We have approximately 1.6 × 10^3 meters in a mile, and we want to find out how many miles there are in 3.52 × 10^7 meters.

We can set up the calculation like this:

\[
\text{Miles} = \frac{\text{Meters}}{\text{Meters per mile}} = \frac{3.52 \times 10^7 \, \text{meters}}{1.6 \times 10^3 \, \text{meters/mile}}
\]

Now, let's perform the division:

1. Divide the coefficients:
\[
\frac{3.52}{1.6} = 2.2
\]

2. Subtract the exponents (since we are dividing powers of 10):
\[
10^{7 - 3} = 10^4
\]

Now we combine the results:

\[
\text{Miles} = 2.2 \times 10^4
\]

Thus, the answer is:

\[
\boxed{2.2 \times 10^4}
\]

This is the number of miles in \(3.52 \times 10^7\) meters, expressed in scientific notation to the exact decimal place.