To find how many miles are in \( 3.52 \times 10^7 \) meters, we can set up the conversion using the given conversion factor of \( 1.6 \times 10^3 \) meters per mile:
\[ \text{Miles} = \frac{\text{Meters}}{\text{Meters per Mile}} = \frac{3.52 \times 10^7 \text{ meters}}{1.6 \times 10^3 \text{ meters/mile}} \]
Now, we can perform the division:
-
Divide the coefficients (the numbers in front): \[ \frac{3.52}{1.6} = 2.2 \]
-
Subtract the exponents (since we are dividing exponential terms): \[ 10^{7} \div 10^{3} = 10^{7-3} = 10^{4} \]
Putting it all together, we have:
\[ \text{Miles} = 2.2 \times 10^{4} \]
Thus, there are approximately \( 2.2 \times 10^4 \) miles in \( 3.52 \times 10^7 \) meters.