All Modules
Grade 4 Interactive Math Lab FREE
Loading simulation...
Multi-Digit Multiplication
Learning Objectives
- Multiply multi-digit numbers using area models
- Apply the distributive property
- Solve real-world multiplication problems
Key Concepts
Area Model
A visual method using rectangles to represent multiplication
Partial Products
Breaking multiplication into smaller, easier parts
Distributive Property
a × (b + c) = (a × b) + (a × c)
Theory
The area model helps visualize multiplication by breaking numbers into their place values.
**Example: 23 × 14**
Break down each factor:
- 23 = 20 + 3
- 14 = 10 + 4
Create a rectangle:
```
20 3
+--------+------+
10 | 200 | 30 |
+--------+------+
4 | 80 | 12 |
+--------+------+
```
Sum: 200 + 30 + 80 + 12 = 322
Examples
34 × 12 using area model
Solution: 30×10 + 30×2 + 4×10 + 4×2 = 300 + 60 + 40 + 8 = 408
📝
Knowledge Check
Test your understanding of The Engine of Growth!