Compute 37 × 64.

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Multiple Choice

Compute 37 × 64.

Explanation:
Multiply by breaking one factor into parts and then add the results. Break 64 into 60 and 4: 37 × 64 = 37 × (60 + 4) = 37 × 60 + 37 × 4. Now 37 × 60 = 37 × 6 × 10 = 222 × 10 = 2220, and 37 × 4 = 148. Adding them gives 2220 + 148 = 2368. A quick check using a different split: (40 − 3) × 64 = 2560 − 192 = 2368. The product is 2368.

Multiply by breaking one factor into parts and then add the results. Break 64 into 60 and 4: 37 × 64 = 37 × (60 + 4) = 37 × 60 + 37 × 4. Now 37 × 60 = 37 × 6 × 10 = 222 × 10 = 2220, and 37 × 4 = 148. Adding them gives 2220 + 148 = 2368. A quick check using a different split: (40 − 3) × 64 = 2560 − 192 = 2368. The product is 2368.

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