CCSS.MATH.1.OA.C.6 / TEKS 1.3.D.1✓ Wisconsin Dept of Public Instruction AlignedAcademic Year 2026–27
Place Value & Expanded Notation
Master the relationship between adjacent place values and decompose multi-digit numbers into standard and expanded forms.
Why It Matters:Crucial for financial calculations, digital computing, and scientific measurement.
Curated Video Instruction
● Verified Active EmbedSTEP-BY-STEP PROOF
Worked Example
Write 4,528 in expanded notation and identify the value of digit 5:
1
Identify place value coordinates
4 thousands + 5 hundreds + 2 tens + 8 ones
Break each digit into its positional multiplier.
2
Multiply each digit by positional value
(4 * 1000) + (5 * 100) + (2 * 10) + (8 * 1)
Compute each component value.
3
Sum the values
4000 + 500 + 20 + 8 = 4528
The value of 5 in the hundreds position is 500.
✓Verification Check
Verify by summing components: 4000 + 500 + 20 + 8.
4000 + 500 + 20 + 8 = 4528
•
4528 = 4528
⚠️ Common Pitfalls & Misconceptions
Confusing face value with positional place value
✗ Claiming the value of 5 in 4,528 is just 5✓ Multiply the face digit by its positional weight (5 * 100 = 500)
Place value depends entirely on the digit position.
INTERACTIVE DRILLS
Guided Practice
Practice Question1 of 1
Step-by-step Feedback
What is the value of the digit 7 in the number 37,420?
MASTERY BENCHMARK
Official Assessment Quiz
Formal Assessment
Place Value & Expanded Notation
Passing Criteria:70% or higher
Question 1 of 1
How many tens are in the number 340?
Education to Career Navigation
Where This Lesson Leads
Bankers, Software Developers, and Accountants rely on precise base-ten notation.