Multiply 267 and 354

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Set up multiplication problem: Set up the multiplication problem. We need to multiply 267 by 354.Multiply units digit: Multiply the units digit of the second number by each digit of the first number. 4 (from 354) multiplied by 7 (from 267) equals 28, write down 8 and carry over 2. 4 multiplied by 6 equals 24, plus the carried over 2 equals 26, write down 6 and carry over 2. 4 multiplied by 2 equals 8, plus the carried over 2 equals 10, write down 10. The partial product is 1068.Multiply tens digit: Multiply the tens digit of the second number by each digit of the first number, remembering to add a zero before writing the new partial product (since we are now in the tens place). 5 (from 354) multiplied by 7 (from 267) equals 35, write down 5 and carry over 3. 5 multiplied by 6 equals 30, plus the carried over 3 equals 33, write down 3 and carry over 3. 5 multiplied by 2 equals 10, plus the carried over 3 equals 13, write down 13. The partial product is 13350, but remember to add a zero before writing it down, so it becomes 133500.Multiply hundreds digit: Multiply the hundreds digit of the second number by each digit of the first number, remembering to add two zeros before writing the new partial product (since we are now in the hundreds place). 3 (from 354) multiplied by 7 (from 267) equals 21, write down 1 and carry over 2. 3 multiplied by 6 equals 18, plus the carried over 2 equals 20, write down 0 and carry over 2. 3 multiplied by 2 equals 6, plus the carried over 2 equals 8, write down 8. The partial product is 80010, but remember to add two zeros before writing it down, so it becomes 8001000.Add partial products: Add all the partial products together. 1068 133500 8001000 --------- Adding these together, we get: 1068 133500 8001000 --------- 94668 (This is incorrect, let's correct it in the next step)

Multiply $267$ and $354$

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Multiply $267$ and $354$