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How Do You Do Long Multiplication?

Multiply: 367 x 45

Summary

  1. Keeping the columns lined up will be very helpful!
  2. Starting from right and moving left, we first calculate 5x367 and write the result
  3. If you get a tens digit, make sure you 'carry it' to the top!
  4. 4 is in the tens place of 45, so we're actually finding 40x367 in the second part of this multiplication
  5. We need a 0 placeholder when we multiply 367 by 40
  6. Similar to multiplication, make sure you carry the tens place to the next column!

Notes

    1. Vertically means one number on top of the other.
    2. 367 is the top number, 45 is on the bottom
    1. 5 is the last digit or ones digit of the bottom number
    2. So we calculate 5x367 and write the result
    1. For 5x7=35, write the 5 in the results, carry the 3
    2. For 5x6=30, add the carried 3 to get 33
    3. Continuing until there are no more top digits to multiply, we get 5x367 = 1835
    1. 4 is the next digit or tens digit of the bottom number
    2. So we write the result of 40x367 below the previous result
    3. The placeholder 0 in the ones place lets us multiply 40 by 367 while only focusing on multiplying 4 by 367
    1. If there was a bottom number digit in the hundreds place, the result would start with 0's in the ones and tens places
    1. Add 1835 + 14680