1. The problem is to explain what an area model is in mathematics.
2. An area model is a visual representation used to multiply numbers, especially useful for understanding multiplication of multi-digit numbers.
3. It involves drawing a rectangle divided into smaller sections, where the length and width represent the numbers being multiplied.
4. Each smaller rectangle's area corresponds to a partial product, and the sum of these areas gives the final product.
5. For example, to multiply 23 by 15, you split 23 into 20 and 3, and 15 into 10 and 5.
6. Draw a rectangle divided into four parts: 20x10, 20x5, 3x10, and 3x5.
7. Calculate each area: $20 \times 10 = 200$, $20 \times 5 = 100$, $3 \times 10 = 30$, $3 \times 5 = 15$.
8. Add all partial products: $200 + 100 + 30 + 15 = 345$.
9. So, $23 \times 15 = 345$ using the area model.
10. This method helps visualize multiplication and understand place value.
Area Model Cc738E
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