Anumber is 42,300 when multiplied by 10. find the product of this number and 500.
do i take 42300 and divide by 10 to get the product?
also 42300 times 500 to get the other answer?

The question is Algebraically 10(a number) = 42,300. Find (a number) x 500.

You are almost correct. You take 42,300 and divide by 10, but then you take the solution of that, 4,230, and multiply that solution by 500 to get the final answer of 2,115,000