give the number whose hundreds place is one-third of the greatest one-digit number, then tens place is twice the hundred place, the ones place is four times the digit in the hundreds place divided by 2, and the three digits in thousands period is the product of the digits in the units period.

What are you calling the "thousands period" and why does it have three digits? What are you calling the units period?

To find the number described, let's break down the given conditions:

1. "Hundreds place is one-third of the greatest one-digit number": The greatest one-digit number is 9. So, one-third of 9 is 3. Therefore, the hundreds place is 3.

2. "Tens place is twice the hundreds place": Since the hundreds place is 3, twice that value would be 6. Hence, the tens place is 6.

3. "Ones place is four times the digit in the hundreds place divided by 2": The digit in the hundreds place is 3. Multiplying it by 4 gives us 12. Dividing 12 by 2 gives us 6. Hence, the ones place is 6.

4. "The three digits in the thousands period is the product of the digits in the units period": Since there are no specified digits in the units period, we assume it to be 0. Therefore, the product of the digits in the units period is 0. Thus, the three digits in the thousands period are also 0.

Putting it all together, the number satisfying the given conditions is 3060.