An airplane flight from Houston, Texas to Rome, Italy is 5,686 miles. Estimate the distance between the two cities as the product of a single digit number times a power of 10.

To estimate the distance between Houston, Texas, and Rome, Italy, as the product of a single-digit number times a power of 10, we can round the distance to the nearest ten.

The nearest ten to 5,686 is 5,690.

Now, we can express 5,690 as the product of a single-digit number (6) times a power of 10 (10^3):

5,690 = 6 * 10^3

Therefore, an estimate of the distance between Houston, Texas, and Rome, Italy is 6,000 miles.