CCSS.MATH.5.NF.B.4 / TEKS 5.3.I.4✓ Department for Education (DfE) / Ofqual AlignedAcademic Year 2026–27
Multi-Digit Multiplication & Partial Products
Understand multi-digit multiplication using area models, partial products, and standard algorithms.
Why It Matters:Essential for determining land area, production scaling, and compound inventory pricing.
Curated Video Instruction
● Verified Active EmbedSTEP-BY-STEP PROOF
Worked Example
Calculate 24 * 16 using partial products:
1
Break factors into place values
(20 + 4) * (10 + 6)
Decompose factors into tens and ones.
2
Multiply partial products
20*10=200, 20*6=120, 4*10=40, 4*6=24
Calculate the 4 rectangular areas.
3
Sum the partial products
200 + 120 + 40 + 24 = 384
Total product is 384.
✓Verification Check
Verify by division: 384 / 16.
384 / 16 = 24
•
24 = 24
⚠️ Common Pitfalls & Misconceptions
Forgetting place-value zeros when multiplying tens
✗ Multiplying 20 * 10 and writing 20 instead of 200✓ Multiply non-zero digits and append total trailing zeros
Tens times tens equals hundreds.
INTERACTIVE DRILLS
Guided Practice
Practice Question1 of 1
Step-by-step Feedback
What is 35 * 12?
MASTERY BENCHMARK
Official Assessment Quiz
Formal Assessment
Multi-Digit Multiplication & Partial Products
Passing Criteria:70% or higher
Question 1 of 1
What is the product of 50 * 60?
Education to Career Navigation
Where This Lesson Leads
Architects, Logistics Managers, and Urban Planners rely heavily on area modeling.