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Understanding Place Value

Recognize that a digit in one place is ten times what it represents in the place to its right.

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Understanding Place Value

Place Value Chart

Each place in a number is 10 times the value of the place to its right.

MillionsHundred ThousandsTen ThousandsThousandsHundredsTensOnes
1,000,000100,00010,0001,000100101

Reading Numbers

The number 4,523 means:

  • 4 thousands = 4,000
  • 5 hundreds = 500
  • 2 tens = 20
  • 3 ones = 3

So 4,523=4,000+500+20+34,523 = 4,000 + 500 + 20 + 3

This is called expanded form.

Comparing Numbers

Use place value to compare numbers from left to right:

  • 3,456<3,7893,456 < 3,789 because in the hundreds place, 4<74 < 7

Symbols: << (less than), >> (greater than), == (equal to)

Patterns with 10

  • 30×10=30030 \times 10 = 300 (the digit moves one place to the left)
  • 4,000÷10=4004,000 \div 10 = 400 (the digit moves one place to the right)

Practice: Write 7,305 in expanded form: 7,000+300+0+57,000 + 300 + 0 + 5

📚 Practice Problems

1Problem 1easy

❓ Question:

Practice problem for Understanding Place Value (Basic)

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2Problem 2medium

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Practice problem for Understanding Place Value (Intermediate)

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3Problem 3medium

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Practice problem for Understanding Place Value (Applied)

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4Problem 4hard

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Practice problem for Understanding Place Value (Advanced)

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5Problem 5hard

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Practice problem for Understanding Place Value (Challenge)

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Rounding Whole Numbers
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❓ Frequently Asked Questions

What is Understanding Place Value?▾
Recognize that a digit in one place is ten times what it represents in the place to its right.
How can I study Understanding Place Value effectively?▾
Start by reading the study notes and working through the examples on this page. Then use the flashcards to test your recall. Practice with the 5 problems provided, checking solutions as you go. Regular review and active practice are key to retention.
Is this Understanding Place Value study guide free?▾
Yes — all study notes, flashcards, and practice problems for Understanding Place Value on Study Mondo are free to access. No account is needed.
What course covers Understanding Place Value?▾
Understanding Place Value is part of the Grade 4 Math course on Study Mondo, specifically in the Place Value and Rounding section. You can explore the full course for more related topics and practice resources.
Are there practice problems for Understanding Place Value?▾
Yes, this page includes 5 practice problems with detailed solutions. Each problem includes a step-by-step explanation to help you understand the approach.