Place Value to One Million (719)

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

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.

Skill Cluster

Number Sense

Estimated Time

15 minutes

Skills Practiced

Prerequisites

• Place Value to 100,000
• Basic Number Comparison

Next Steps

• Place Value with Decimals
• Multi-Digit Operations
• Number Theory Basics
• Place Value to Billions
• Decimal Place Value Foundations
• Multi-Digit Addition and Subtraction