What is the product of 37 and 64?

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Multiple Choice

What is the product of 37 and 64?

Explanation:
Multiplying can be made easier by breaking one factor into parts and using the distributive property. If we rewrite 37 as 40 minus 3, then multiply by 64: (40 − 3) × 64 = 40×64 − 3×64 = 2560 − 192 = 2368. You can check with another breakdown too: 37 = 30 + 7, so 64×37 = 64×30 + 64×7 = 1920 + 448 = 2368. Or use doubling: 37×64 = (37×8)×8 = 296×8 = 2368. All paths lead to the same product, 2368.

Multiplying can be made easier by breaking one factor into parts and using the distributive property. If we rewrite 37 as 40 minus 3, then multiply by 64: (40 − 3) × 64 = 40×64 − 3×64 = 2560 − 192 = 2368. You can check with another breakdown too: 37 = 30 + 7, so 64×37 = 64×30 + 64×7 = 1920 + 448 = 2368. Or use doubling: 37×64 = (37×8)×8 = 296×8 = 2368. All paths lead to the same product, 2368.

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