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.(1 point)

Question

Responses

6 times 10 to the 3rd power

5 times 10 to the 3rd power

6 times 10 to the 4th power

5 times 10 to the 4th power

Answer 1

To estimate the distance between Houston, Texas and Rome, Italy as the product of a single digit number times a power of 10, we need to determine the power of 10 that brings the distance close to a single digit number.

The number 5,686 is closer to 6,000 than 5,000, so let's try 6 times 10 to the 3rd power (6,000).

Therefore, the estimate for the distance between the two cities is 6 times 10 to the 3rd power.