Grade 4/Place Value & Rounding
Expanded Notation (4–6 Digits) (728)
Write each number in expanded notation (digit × place value).
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Teaching Notes
Translate from expanded form to notation: replace each term with digit×place.
Vocabulary
Expanded Notation: Digit times place value sum.
Place Value: Value of a digit's position.
Common Mistakes
- Mixing notation with form
- Forgetting place values like 10,000
- Forgetting zero place values
- Incorrectly identifying place value
- Confusing value with digit
Differentiation
SupportProvide a place-value × table for reference.
ChallengeInclude factored forms (e.g., 3×10×100).
Discussion Questions
- What does 3×1,000 represent?
- How do commas in the number relate to place values?
- Why is expanded notation useful?
- How does place value help us write numbers?
- What if a digit is zero in a number?
Extension Activities
- Convert between expanded form and notation both ways
- Create a number that has a zero in the hundreds place
Parent Tip
Ask your child to write a number using digit times place value.
Learning Path
Skill Cluster
Number Sense and Place Value
Skills Practiced
write expanded notationmultiply by powers of 10identify place value
Prerequisites
- 719
- Place Value (Up to 1,000s)
- Multiplication by Powers of 10
Next Steps
- Standard Form from Expanded Notation
- Comparing Numbers (Expanded Form)
- Expanded Form (Decimals)
- Place Value (Up to Millions)
- Comparing Multi-Digit Numbers