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)

1 answer

To convert meters to miles, you can use the conversion factor of \( 1 \text{ mile} \approx 1.6 \times 10^3 \text{ meters} \).

To find out how many miles are in \( 3.52 \times 10^7 \) meters, you can set up the conversion as follows:

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

Calculating this step by step:

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

  2. Divide the powers of ten: \[ \frac{10^7}{10^3} = 10^{7-3} = 10^4 \]

  3. Combine the results: \[ \text{miles} = 2.2 \times 10^4 \]

Thus, the number of miles in \( 3.52 \times 10^7 \) meters is \[ \boxed{2.2 \times 10^4} \]