Baltimore = 9.2735 x 10^2

Question

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

Answer 1

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.