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How Do You Do Long Multiplication?
Multiply: 367 x 45
Summary
- Keeping the columns lined up will be very helpful!
- Starting from right and moving left, we first calculate 5x367 and write the result
- If you get a tens digit, make sure you 'carry it' to the top!
- 4 is in the tens place of 45, so we're actually finding 40x367 in the second part of this multiplication
- We need a 0 placeholder when we multiply 367 by 40
- Similar to multiplication, make sure you carry the tens place to the next column!

Notes
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- Vertically means one number on top of the other.
- 367 is the top number, 45 is on the bottom
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- 5 is the last digit or ones digit of the bottom number
- So we calculate 5x367 and write the result
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- For 5x7=35, write the 5 in the results, carry the 3
- For 5x6=30, add the carried 3 to get 33
- Continuing until there are no more top digits to multiply, we get 5x367 = 1835
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- 4 is the next digit or tens digit of the bottom number
- So we write the result of 40x367 below the previous result
- The placeholder 0 in the ones place lets us multiply 40 by 367 while only focusing on multiplying 4 by 367
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- If there was a bottom number digit in the hundreds place, the result would start with 0's in the ones and tens places
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- Add 1835 + 14680