Shark Learning
Grade 5/Place Value & Rounding

🔢 Build a 4-Digit Number: Digit Constraints

Compose 4-digit numbers from digit constraints to strengthen place value understanding.
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Easy
1
12 questions
2
12 questions
Medium
1
12 questions
2
12 questions
Hard
1
12 questions
2
12 questions

Practice Questions

  1. Thousands 4, hundreds 0, tens 7, ones 5. Number: ?
    Show answer

    4,075

  2. Thousands 9, hundreds 3, tens 0, ones 0. Number: ?
    Show answer

    9,300

  3. Thousands 6, hundreds 3, tens 0, ones 2. Number: ?
    Show answer

    6,302

  4. Thousands 5, hundreds 0, tens 4, ones 0. Number: ?
    Show answer

    5,040

  5. Thousands 8, hundreds 0, tens 9, ones 0. Number: ?
    Show answer

    8,090

Teacher Resources
Teaching Notes

Have students point to the place value chart as they assign each digit. Emphasize zeros as placeholders.

Vocabulary
Digit Constraint: A rule for which digit to use.
Thousands Place: The position representing 1,000s.
Common Mistakes
  • Transposing tens and ones
  • Forgetting zero in a place
  • Incorrect digit placement
  • Misunderstanding place value of zero
  • Reading constraints out of order
  • Confusing value with digit
Differentiation
SupportUse a place value chart or manipulatives to visualize.
ChallengeExtend to 5-digit numbers or include 'zero' constraints.
Discussion Questions
  • How do you know the thousands digit determines magnitude?
  • Why is place value important in writing numbers?
  • What happens if a place value is missing (e.g., no tens)?
  • How does composing numbers help us understand their value?
  • Can we write the same number in different ways?
Extension Activities
  • Create number puzzles.
  • Guess the number game.
  • Write numbers from clues.
Parent Tip

Give clues for a 4-digit number and have them guess it.

Learning Path
Skill Cluster

Number Sense & Place Value

Estimated Time

12 minutes

Skills Practiced
Build 4 digit constraints