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

6×104
6 times 10 to the 4th power

5×103
5 times 10 cubed

5×104
5 times 10 to the 4th power

6×103

Answer 1

To estimate the distance of 5,686 miles in the form of a single digit number times a power of 10, we first look for a single digit number that is closest to 5,686.

The number 5,686 is closer to 6,000 than to 5,000, and we can express 6,000 as:

\[ 6,000 = 6 \times 10^3 \]

Since \( 5,686 \) is approximately \( 6 \times 10^3 \), the best estimation from the options provided is:

6×10^3 (6 times 10 to the 3rd power).