The average American worker makes about 4x10^4 dollars yearly. The average professional basketball player makes about 6x10^6 dollars yearly. How many times greater is the average professional basketball player's salary than the average American worker's salary?

The average professional basketball player's salary is 1500 times greater than the average American worker's salary.

To find out how many times greater the average professional basketball player's salary is compared to the average American worker's salary, we need to divide the basketball player's salary by the worker's salary.

First, let's convert the given numbers into standard form to make it easier for calculations:

Average American worker's salary: 4 x 10^4 dollars
Average professional basketball player's salary: 6 x 10^6 dollars

Now, divide the basketball player's salary by the worker's salary:

(6 x 10^6) / (4 x 10^4)

To divide numbers in scientific notation, we can divide their coefficients (in this case, 6 and 4) and subtract their exponents (in this case, 6 - 4).

6 / 4 = 1.5

10^6 / 10^4 = 10^(6-4) = 10^2 = 100

So, (6 x 10^6) / (4 x 10^4) = 1.5 x 100 = 150

Therefore, the average professional basketball player's salary is 150 times greater than the average American worker's salary.

To find out how many times greater the average professional basketball player's salary is than the average American worker's salary, divide the basketball player's salary by the worker's salary.

Basketball player's salary: 6 x 10^6 dollars
Worker's salary: 4 x 10^4 dollars

Therefore, the calculation would be: (6 x 10^6) / (4 x 10^4)

First, simplify the common factor of 10^4:
6 / 4 = 3/2

The answer is 3/2, which means the average professional basketball player's salary is 1.5 times greater than the average American worker's salary.