Final answer:
The /10 pattern indicates that each number is divided by 10 to get the next. In the question's sequence, 500 divided by 10 gives 50, and subsequently dividing down the line, 0.05 divided by 10 gives 0.005. Therefore, the correct answer is A: 50, 0.005.
Step-by-step explanation:
To answer the question, we need to understand the /10 pattern which involves dividing or multiplying a number by 10. Starting with 500 and using the /10 pattern, we divide 500 by 10 to get 50. Continuing with the pattern, if we divide 50 by 10, we get 5. Further, dividing 5 by 10 will give us 0.5, and dividing 0.5 by 10 gives us 0.05. To find the next number in the pattern, we divide 0.05 by 10 and get 0.005.
Therefore, the blanks should be filled in with 50 and 0.005, making the correct sequence: 500, 50, 5, 0.5, 0.05, 0.005. Accordingly, the correct answer to the question is option A: 50, 0.005.