Place Value Problem: Find the Number with Digits 5,6,5,3,1

Place Value Identification with Multi-Digit Numbers

I have a hundred thousands digit of 5, a thousands digit of 6, a hundreds digit of 5, a tens digit of 3, and a units digit of 1.

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

I have a hundred thousands digit of 5, a thousands digit of 6, a hundreds digit of 5, a tens digit of 3, and a units digit of 1.

Which number am I?

2

Step-by-step solution

To solve this problem, let's begin by specifying the place values and locating the correct digits:

  • The hundred thousands digit is 5.
  • The thousands digit is 6.
  • The hundreds digit is 5.
  • The tens digit is 3.
  • The units digit is 1.

Using these place values, we form the following specific number:

506,531 506,531

Therefore, the number you are is 506,531 506,531 .

3

Final Answer

506,531 506,531

Key Points to Remember

Essential concepts to master this topic
  • Rule: Each digit position has a specific place value name
  • Technique: Write digits left to right: 5 (hundred thousands), 0 (ten thousands), 6 (thousands), 5 (hundreds), 3 (tens), 1 (units)
  • Check: Read the number aloud: five hundred six thousand, five hundred thirty-one ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to include zero placeholders
    Don't skip the ten thousands place when no digit is given = wrong number formation! This creates numbers like 56,531 instead of 506,531. Always include zero placeholders for missing place values between given digits.

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

Why is there a zero in 506,531 when no ten thousands digit was mentioned?

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Great question! When a place value isn't mentioned, it means that position has a zero. Since we have hundred thousands (5) and thousands (6) digits, but no ten thousands digit, we put a zero placeholder there.

How do I remember the order of place values?

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Start from the right with units, then move left: tens, hundreds, thousands, ten thousands, hundred thousands. Think of it as building bigger groups of 10!

  • Units (ones): 1
  • Tens: 10
  • Hundreds: 100
  • Thousands: 1,000

What if I mix up the digits in the wrong places?

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Write out the place value chart first! Draw boxes for each position and carefully place each digit in its correct box before writing the final number.

How can I check if I formed the number correctly?

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Read your number aloud or break it into parts: 506,531 = 500,000 + 6,000 + 500 + 30 + 1. Each part should match the given place value information!

Why do we use commas in large numbers?

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Commas help us read numbers easier by separating groups of three digits. In 506,531, the comma separates thousands from hundreds, making it clearer to read.

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