CCSS.MATH.4.NBT.A.1✓ Kansas State Department of Education AlignedAcademic Year 2026–27
Place Value Structure in Multi-Digit Numbers
Explore how each position in a base-ten numeral increases by a factor of 10 relative to the adjacent right column.
Why It Matters:Forms the foundational mental model for all multi-digit multiplication, division, currency calculations, and metric scaling.
Curated Video Instruction
● Verified Active EmbedSTEP-BY-STEP PROOF
Worked Example
Compare the value of the digit 7 in 74,200 and the digit 7 in 7,420:
1
Identify place value position in 74,200
7 is in the ten-thousands place = 70,000
The 7 represents 7 * 10,000 = 70,000.
2
Identify place value position in 7,420
7 is in the thousands place = 7,000
The 7 represents 7 * 1,000 = 7,000.
3
Divide the two values
70,000 / 7,000 = 10
The 7 in 74,200 is exactly 10 times greater than the 7 in 7,420.
✓Verification Check
Multiply 7,000 by 10 to confirm: 7,000 * 10 = 70,000.
7,000 * 10 = 70,000
•
70,000 = 70,000 (Verified)
⚠️ Common Pitfalls & Misconceptions
Thinking a digit always has the same value regardless of column
✗ Believing the 5 in 520 has the same value as the 5 in 52✓ Value = Digit * Column Value (5 in hundreds = 500, 5 in tens = 50)
A digit’s magnitude depends strictly on its place value column.
INTERACTIVE DRILLS
Guided Practice
Practice Question1 of 1
Step-by-step Feedback
In the number 68,340, what is the value of the digit 8?
MASTERY BENCHMARK
Official Assessment Quiz
Formal Assessment
Place Value Structure in Multi-Digit Numbers
Passing Criteria:70% or higher
Question 1 of 1
How many times greater is the 4 in 400 than the 4 in 40?
Education to Career Navigation
Where This Lesson Leads
Data Analysts and Accountants rely on precise place-value understanding to audit financial ledgers.