give the number whose hundred place is one-third of the greatest one-digit number, the 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 the thousands period is the product of the digits in the units period?

9 is the greatest digit, so we have

3..

36.

366

108366

To find the number that satisfies these conditions, let's break down each condition one by one:

1. "The hundred 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 hundred place is 3.

2. "The tens place is twice the hundred place":
Since the hundred place is 3, the tens place would be twice 3, which is 6.

3. "The ones place is four times the digit in the hundreds place divided by 2":
Since the digit in the hundreds place is 3, we take 4 times 3 divided by 2, which is 6. Therefore, the ones place is 6.

4. "The three digits in the thousands period is the product of the digits in the units period":
Since the units period refers to the ones place, which is 6, we need to find the product of the digits in the ones place. As there is only one digit, the product is equivalent to 6.

Putting all the digits together, we get the number 3666.