Place Value Problem: Finding a Number with Digits 2, 3, and 5 in Specific Positions

Question

My hundreds of thousands digit is 2, my thousands digit is 3, and my units digit is 5.

Which number am I?

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify and place the known digits according to the decimal structure.
  • Step 2: Determine if unspecified digits should be zeros, based on standard assumptions.
  • Step 3: Construct the full number and compare it to given choices.

Now, let's walk through the solution:

Step 1: The problem provides several specific digits for different places in our number. Specifically, we know:
- The hundreds of thousands digit is 22, so the number is of the form 200,000+200,000 + \ldots.
- The thousands digit is 33, making it 203,000+203,000 + \ldots.
- The units digit is 55, making the number complete to the form 203,005203,005.

Step 2: Since no other digit (specifically the ten-thousands place, hundreds, tens) is mentioned, we assume these are 00. Therefore, the full number with respect to all place values would be 203,005203,005.

Step 3: The constructed number, based on provided conditions, is 203,005203,005. Let's match this against multiple-choice options:

  • Option 1: 230,005230,005 does not match; the thousands digit should be 33, not 3030.
  • Option 2: Correctly matches as 203,005203,005.
  • Option 3: 23,00523,005 is incorrect as it lacks tens of thousands and hundreds.
  • Option 4: 2,3052,305 is a far lower number with misplaced significant digits.

Therefore, the solution to the problem, as per our analysis and matching of conditions, is 203,005 203,005 .

Answer

203,005 203,005