To use partial products to find \( 250 \times 15 \), you can break down the numbers into parts and then calculate the products of these parts separately before adding them together.
Here’s how you can do it:
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Break down the numbers:
- \( 250 \) can be broken down into \( 200 + 50 \)
- \( 15 \) can be broken down into \( 10 + 5 \)
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Now, multiply each part:
- \( 250 \times 10 = 2500 \) (from \( 200 \))
- \( 250 \times 5 = 1250 \) (from \( 50 \))
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Next, calculate the separate partial products:
- \( 200 \times 10 = 2000 \)
- \( 200 \times 5 = 1000 \)
- \( 50 \times 10 = 500 \)
- \( 50 \times 5 = 250 \)
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Now, sum the partial products:
- \( 2000 + 1000 + 500 + 250 \)
Here, to add:
- \( 2000 + 1000 = 3000 \)
- \( 3000 + 500 = 3500 \)
- \( 3500 + 250 = 3750 \)
The final result is \( 250 \times 15 = 3750 \).
In summary, the partial products method would look like this:
\[ 250 \times 15 = (200 + 50) \times (10 + 5) \] \[ = 2000 + 1000 + 500 + 250 \] \[ = 3750 \]
Thus, the multiplication can be shown as a sum of these partial products, confirming that the answer is \( 3750 \).
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