Using the scientific notations 9.2735 X 10^2 (Baltimore distance to Atlanta) and 1.50511 X 10^3 (atlanta distance to Boston), make up your own word problem that would require someone to use division to solve. Write the problem, and provide the solution.
Problem:
A group of friends is planning a road trip from Baltimore to Boston, via Atlanta. The distance from Baltimore to Atlanta is represented by 9.2735 X 10^2, and the distance from Atlanta to Boston is represented by 1.50511 X 10^3. How many times longer is the distance from Atlanta to Boston compared to the distance from Baltimore to Atlanta?
Solution:
To find out how many times longer the distance from Atlanta to Boston is compared to the distance from Baltimore to Atlanta, we need to divide the distance from Atlanta to Boston by the distance from Baltimore to Atlanta.
Distance from Atlanta to Boston = 1.50511 X 10^3
Distance from Baltimore to Atlanta = 9.2735 X 10^2
To divide these values, we divide the coefficients (1.50511 ÷ 9.2735) and subtract the exponents (10^3 - 10^2).
(1.50511 ÷ 9.2735) = 0.16239
(10^3 - 10^2) = 10^(3 - 2) = 10^1 = 10
Therefore, the distance from Atlanta to Boston is approximately 0.16239 times (or 16.239%) longer than the distance from Baltimore to Atlanta.