To plan a trip where we start at one city, travel to a second city, travel to a third city, and then return to the original city, we need to choose three cities from the given table. Let's choose Atlanta, Baltimore, and Boston as the cities for our trip.
First, we will calculate the distances between Atlanta and Baltimore, Baltimore and Boston, and Boston and Atlanta.
Distance between Atlanta and Baltimore: 3 x 10^2 miles (written in scientific notation)
Distance between Baltimore and Boston: 1 x 10^3 miles (written in scientific notation)
Distance between Boston and Atlanta: 6 x 10^2 miles (written in scientific notation)
To find the total distance traveled, we add up these distances:
(3 x 10^2) + (1 x 10^3) + (6 x 10^2) = 300 + 1000 + 600 = 1900 miles (written in decimal notation)
To write the total distance traveled in scientific notation, we can convert it by moving the decimal point to the left until there is only one non-zero digit to the left of the decimal point:
1900 miles = 1.9 x 10^3 miles (written in scientific notation)
Therefore, the total distance traveled is 1900 miles (decimal notation) or 1.9 x 10^3 miles (scientific notation).
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.
1 answer
1 answer