2. The following table shows distances in miles between some cities in the United

Question

States. The distances have been written in scientific notation.
Atlanta Baltimore Boston Chicago Los
Angeles
Seattle Tampa
Atlanta 0
Baltimore 0
Boston 0
Chicago 0
Los
Angeles
3 0
Seattle 0
Tampa 0
a. Plan a trip where you will start at one city, travel to a second city, travel to a
third city, and then return to the original city. How far will you travel all
together? Write your total distance traveled in both decimal notation and
scientific notation. Show all your work so it is clear what cities you are going to
and in what order.

Answer 1

To plan a trip where you start at one city, travel to a second city, travel to a third city, and then return to the original city, you need to choose a sequence of three cities.

Let's choose the sequence Atlanta - Chicago - Seattle - Atlanta.

To find the total distance traveled, we need to add up the distances between each pair of cities.

Atlanta to Chicago: 1.5 × 10^2 miles
Chicago to Seattle: 1.7 × 10^3 miles
Seattle to Atlanta: 2.6 × 10^3 miles

Adding up the distances:

1.5 × 10^2 + 1.7 × 10^3 + 2.6 × 10^3 = 150 + 1,700 + 2,600 = 4,450 miles.

So, the total distance traveled is 4,450 miles in decimal notation and 4.45 × 10^3 miles in scientific notation.