Build a 4-Digit Number (Expanded Form) (720)

Teaching Notes

Students practice composing a 4-digit number from place value parts. Encourage reading the number by periods and checking magnitude reasonableness.

Vocabulary

Standard form: The common way to write a number.

Expanded form: Breaking a number into place value parts.

Common Mistakes

• Misaligning place values when writing standard form
• Dropping zeros for empty places
• Reversing digit order (e.g., swapping tens and ones)
• Misplacing digits
• Forgetting zero placeholders
• Incorrectly adding parts
• Confusing place value names

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?
• How does place value organize numbers?
• Why is zero critical when building numbers?
• Can you build a number with no hundreds?
• What if you forgot a zero placeholder?

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

Give your child parts of a number (like 300, 50, 2) to build the full number.

Skill Cluster

Number Sense and Place Value

Estimated Time

12 minutes

Skills Practiced

Prerequisites

• gr3_place_value
• Understanding 3-digit place value
• Basic addition of whole numbers

Next Steps

• Decomposing 4-digit numbers
• Comparing multi-digit numbers
• Rounding to nearest thousands
• Build 5-Digit Numbers
• Decompose Numbers to Expanded Form
• Place Value of Multi-Digit Numbers