There are about 1.6 × 10³ meters in a mile. About how many miles ate there in 3.52 × 10⁷ meters? Write your answer in scientific notation, expressed to the exact decimal place.

Answer 1

To find the number of miles in 3.52 × 10⁷ meters, we divide the number of meters by the conversion factor of 1.6 × 10³ meters in a mile:

(3.52 × 10⁷ meters) / (1.6 × 10³ meters/mile)

To divide the numbers in scientific notation, we divide the coefficients and subtract the exponents:

3.52 / 1.6 = 2.2

10⁷ / 10³ = 10⁴

Combining these results, we get 2.2 × 10⁴.

Therefore, there are approximately 2.2 × 10⁴ miles in 3.52 × 10⁷ meters.