CCSS.MATH.4.NBT.B.4✓ New York State Education Department (NYSED) AlignedAcademic Year 2026–27
Fluently Adding & Subtracting Multi-Digit Whole Numbers
Master multi-digit addition with carrying and multi-digit subtraction with regrouping across zeros.
Why It Matters:Essential for personal banking, commerce reconciliation, and physical inventory tracking.
Curated Video Instruction
● Verified Active EmbedSTEP-BY-STEP PROOF
Worked Example
Compute 50,004 - 23,678 using the standard algorithm with regrouping across zeros:
1
Regroup from the ten-thousands column
Borrow 1 ten-thousand (5 becomes 4, thousands becomes 9, hundreds 9, tens 9, ones 14)
Cascade regrouping across internal zeros to supply the ones column.
2
Subtract column by column from right to left
Ones: 14 - 8 = 6; Tens: 9 - 7 = 2; Hundreds: 9 - 6 = 3; Thousands: 9 - 3 = 6; Ten-Thousands: 4 - 2 = 2
Compute each single-digit difference systematically.
3
Combine results
Difference = 26,326
Formulate final whole number result.
✓Verification Check
Add difference back to subtrahend: 26,326 + 23,678 = 50,004.
26,326 + 23,678 = 50,004
•
50,004 = 50,004 (Verified)
⚠️ Common Pitfalls & Misconceptions
Subtracting the smaller number from the larger number regardless of row
✗ Computing 0 - 8 as 8 instead of regrouping✓ Always subtract bottom from top; regroup if top is smaller
0 - 8 is not 8; you must borrow from the higher place value column.
INTERACTIVE DRILLS
Guided Practice
Practice Question1 of 1
Step-by-step Feedback
What is 34,582 + 18,749?
MASTERY BENCHMARK
Official Assessment Quiz
Formal Assessment
Fluently Adding & Subtracting Multi-Digit Whole Numbers
Passing Criteria:70% or higher
Question 1 of 1
What is 80,000 - 34,250?
Education to Career Navigation
Where This Lesson Leads
Treasury Analysts and Store Managers process daily financial transfers using standard algorithms.