2. The following table shows distances in miles between some cities in the United
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.
Sita lives in Los Angeles, and her grandmother lives in Seattle. Sita plans to visit her grandmother three times in the next year. What is the total distance she will travel to make these three trips? Write and evaluate an expression that uses multiplication to calculate the total distance traveled. Give your answer in both decimal notation and scientific notation
a. One possible trip where you start in Atlanta, travel to Baltimore, then Boston, and return to Atlanta:
Atlanta to Baltimore: 0.4 x 10^3 = 400 miles
Baltimore to Boston: 0.4 x 10^3 = 400 miles
Boston to Atlanta: 0.5 x 10^3 = 500 miles
Total distance traveled in decimal notation = 400 + 400 + 500 = 1300 miles
Total distance traveled in scientific notation = 1.3 x 10^3 miles
b. To calculate the total distance Sita will travel to visit her grandmother in Seattle three times in a year, we can multiply the distance from Los Angeles to Seattle by 6 (3 trips x 2 ways each trip):
Los Angeles to Seattle: 2.9 x 10^3 miles
Total distance traveled = 2.9 x 10^3 miles x 6 = 17.4 x 10^3 miles
Total distance traveled = 17.4 x 10^3 miles = 1.74 x 10^4 miles