Baltimore = 9.2735 x 10^2
Boston = 5.7785 x 10^2
Chicago = 9.444 x 10^2
Say You go from Baltimore to Boston, Boston to chicago, and chicago to Baltimore. Add them in scientific notation
To add the distances in scientific notation, we need to ensure that the exponents of each number are the same.
First, let's add the distances from Baltimore to Boston (9.2735 x 10^2) and Boston to Chicago (5.7785 x 10^2):
9.2735 x 10^2 + 5.7785 x 10^2
To add these numbers, we need the exponents to be the same. We can achieve this by converting the numbers to have the same exponent. Since 10^2 is the smallest exponent, we will convert both numbers to have a exponent of 10^2.
9.2735 x 10^2 + 5.7785 x 10^2 = (9.2735 + 5.7785) x 10^2
Now we can add the numbers:
9.2735 + 5.7785 = 15.052
Therefore, the distance from Baltimore to Boston, and Boston to Chicago is 15.052 x 10^2.
Now we need to add this distance to the distance from Chicago to Baltimore (9.444 x 10^2).
(15.052 x 10^2) + (9.444 x 10^2) = (15.052 + 9.444) x 10^2
Adding the numbers:
15.052 + 9.444 = 24.496
Therefore, the total distance traveled from Baltimore to Boston, Boston to Chicago, and Chicago to Baltimore is 24.496 x 10^2 in scientific notation.