Question

There are about 1.6 X 10^3 meters in a mile. About how many miles are there in 3.52 X 10^7.

Answer 1

To convert meters to miles, we can use the conversion factor that 1 mile is approximately \(1.6 \times 10^3\) meters.

To find out how many miles are in \(3.52 \times 10^7\) meters, we divide the number of meters by the number of meters in a mile:

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

Now we perform the division:

\[
\text{Miles} = \frac{3.52}{1.6} \times \frac{10^7}{10^3}
\]

Calculating \( \frac{3.52}{1.6} \):

\[
\frac{3.52}{1.6} = 2.2
\]

Calculating \( \frac{10^7}{10^3} = 10^{7-3} = 10^4\).

Now, putting it all together:

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

Thus, there are approximately \(2.2 \times 10^4\) miles in \(3.52 \times 10^7\) meters, which is equivalent to:

\[
\text{Miles} \approx 22000 \text{ miles}.
\]

So, the final answer is approximately **22,000 miles**.