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

Place Value Identification with Large Numbers

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

Which number am I?

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

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

Which number am I?

2

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 .

3

Final Answer

203,005 203,005

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Each position represents a power of ten
  • Technique: Write 203,005 by placing 2 in hundred thousands, 3 in thousands, 5 in units
  • Check: Count positions from right: units, tens, hundreds, thousands, ten thousands, hundred thousands ✓

Common Mistakes

Avoid these frequent errors
  • Confusing tens of thousands with thousands place
    Don't put the thousands digit in the ten thousands place = 230,005 230,005 instead of 203,005 203,005 ! This shifts all digits one position left, creating a completely different number. Always count positions carefully from right to left starting with units.

Practice Quiz

Test your knowledge with interactive questions

What number do the units shown below represent?

10,0001000111010100011

UnitsTensHundredsThousandsBeforeConversionAfterConversionTens ofThousands

Write the units in the place value chart and convert into a number.

FAQ

Everything you need to know about this question

How do I remember which position is which?

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Start from the right side and count: units (ones), tens, hundreds, thousands, ten thousands, hundred thousands. Think of it like building up - each position is 10 times bigger than the one before it!

What happens to positions that aren't mentioned?

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When a place value isn't specified, it's automatically zero. In this problem, the tens, hundreds, and ten thousands places are all 0, giving us 203,005 203,005 .

Why do we use commas in large numbers?

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Commas help us group digits by threes from right to left, making large numbers easier to read. 203005 203005 is harder to read than 203,005 203,005 !

How can I double-check my answer?

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Read your number aloud: 'Two hundred three thousand, five.' Then verify each digit matches the given conditions: hundreds of thousands = 2, thousands = 3, units = 5.

What if the problem gave me different place values?

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Use the same method! Write down the place value positions, fill in the given digits, and put zeros in any unspecified positions. The pattern stays the same no matter which places are mentioned.

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