The following table shows distances in miles between some cities in the United States. The distances have been written in scientific notation. 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. Show all your work so it is clear what cities you are going to in what order
| City A | City B | City C | City D |
|---------------|---------------|--------------|--------------|
| 1.2 x 10^2 | 3.6 x 10^2 | 2.5 x 10^3 | 8.9 x 10^2 |
Let's plan a trip where we start at City A, travel to City B, then City C, and finally return to City A.
1. Start at City A (1.2 x 10^2 miles)
2. Travel to City B (3.6 x 10^2 miles)
3. Travel to City C (2.5 x 10^3 miles)
4. Return to City A (8.9 x 10^2 miles)
Total distance traveled: 1.2 x 10^2 + 3.6 x 10^2 + 2.5 x 10^3 + 8.9 x 10^2 = 12 + 360 + 2500 + 890 = 3762 miles
Therefore, the total distance traveled is 3762 miles in decimal notation and 3.762 x 10^3 in scientific notation.