Multiply $1, 312$ by $4$ using the area model. What will be the product?

4, 248

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4, 148

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5, 248

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41, 248

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Solution

The correct option is C $5, 248$
$1, 312 = 1, 000 + 300 + 10 + 2$
$(T H) (H) (T) (O) 1, 312 \times 4 = (1, 000 + 300 + 10 + 2) \times 4$

Hence, $1, 312 \times 4 = (1, 000 + 300 + 10 + 2) \times 4 = 4, 000 + 1, 200 + 40 + 8 = 5, 248.$

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