Build a 5-Digit Number (Expanded Form) (721)

Teaching Notes

Students practice composing a 5-digit number from place value parts. Encourage reading the number by periods and checking magnitude reasonableness.

Vocabulary

Place Value: Value of a digit based on its position.

Standard Form: Writing a number using digits.

Common Mistakes

• Misaligning place values when writing standard form
• Dropping zeros for empty places
• Reversing digit order (e.g., swapping tens and ones)
• Omitting zero placeholders
• Misplacing digits
• Incorrect sum of parts
• Confusing place values

Differentiation

Discussion Questions

• How does a zero hold place value structure?
• Why does exchanging 1 thousand for 10 hundreds not change value?
• What strategy helps avoid digit transposition?
• Why is zero important in place value?
• How do place values relate to each other?
• Can you describe 53,021 in words?
• What happens if you change a digit's place?

Extension Activities

• Create two different numbers using the same non-zero digits
• Write a word problem whose answer is one composed number
• Compare two composed numbers using > < =

Parent Tip

Ask your child to read large numbers aloud to you.

Skill Cluster

Number Sense and Place Value

Estimated Time

12 minutes

Skills Practiced

Prerequisites

• gr3_place_value
• Place Value to Thousands
• Expanded Form of Numbers

Next Steps

• Composing Larger Numbers
• Comparing Multi-Digit Numbers
• Rounding Multi-Digit Numbers
• Build a 6-Digit Number
• Expanded Form of Multi-Digit Numbers
• Comparing Large Numbers