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Grade 4/Place Value & Rounding

🔢 Place Value to One Million

Strengthen Grade 4 number sense by working with multi-digit numbers to one million. Students find the value of digits by place, write expanded and word forms, compare and order, and practice rounding to required places. Clear models and solutions reinforce the role of each place and the structure of our base-ten system.
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🔢 Place Value to One Million preview

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Easy
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10 questions
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10 questions
Medium
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10 questions
2
10 questions
Hard
1
10 questions
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10 questions
What to Do Next
🔢 Build a 6-Digit Number (Expanded Form)6 WS
300,000 + 20,000 + 5,000 + 400 + 30 + 2 = ____

Practice Questions

  1. What is the value of the digit 7 in 507,432?
    Show answer

    70,000

  2. Write 507,043 in expanded form.
    Show answer

    500,000 + 7,000 + 40 + 3

  3. Write 864,302 in word form.
    Show answer

    eight hundred sixty-four thousand three hundred two

  4. What is the value of the digit 9 in 4,091,652?
    Show answer

    90,000

  5. Write 300,408 in expanded form.
    Show answer

    300,000 + 400 + 8

Teacher Resources
Teaching Notes

Model with a place value chart and read numbers by periods (thousands/millions). For word form, avoid “and” in whole numbers. For expanded form, decompose into sums of place values (include zeros implicitly). Use estimation before comparing to check reasonableness.

Vocabulary
Place value: The value of a digit based on its position.
Expanded form: Writing a number as a sum of its digits' values.
Standard form: The usual way of writing a number.
Common Mistakes
  • Using “and” in whole-number word form
  • Writing expanded form with missing place terms or incorrect zeros
  • Comparing digits left-to-right without considering place value weight
  • Misidentifying place value positions.
  • Incorrectly writing word or expanded forms.
  • Rounding errors, especially with nines.
  • Confusing digit value with place name.
Differentiation
SupportProvide place value mats and color-code periods; start with numbers under 100,000 and scale up.
ChallengeCreate number riddles with constraints; compare close numbers requiring rounding judgment.
Discussion Questions
  • How does a digit’s place change its value by powers of 10?
  • Why do we avoid “and” in whole-number word form?
  • When is rounding up vs down appropriate?
  • How does place value help us understand large numbers?
  • Why is the digit zero important in place value?
  • How is expanded form related to standard form?
  • Where do we see large numbers used in daily life?
Extension Activities
  • Create 3 numbers using given digit cards and order them
  • Write the same number in multiple valid expanded forms (factored powers of 10)
  • Estimate sums/differences after rounding then compute exactly
Parent Tip

Ask your child the value of digits in phone numbers or addresses.

Learning Path
Skill Cluster

Number Sense

Estimated Time

15 minutes

Skills Practiced
Place value millionExpanded formWord formRounding thousand