Multiplication of Two and Three Digit Numbers

How to multiply a three digit number by a two digit number (e.g. 529 * 67).

• Place one number above the other so that the hundreds', tens' and ones' places are lined up. Draw a line under the bottom number.

 529
  67

• Multiply the two numbers in the ones' places. (9 * 7 = 63). This number is larger than 9 so place a 6 above the tens' place column and place 3 below the line in the ones' place column.

  6
 529
  67
   3

• Muliply the digit in the top tens' place column (2) by the digit in the lower ones' place column (7). The answer (2*7=14) is added to the 6 above the top tens' place column to give an answer of 20. The 0 of 20 is placed below the line and the 2 of the 20 is placed above the hundreds' place column.

 26
 529
  67
  03

• The hundreds' place of the top number (5) is multiplied by the ones' place of the multiplier (5*7=35). The two that was previously carried to the hundreds' place is added and the 37 is placed below the line.

 26
 529
  67
3703

• After 529 has been multiplied by 7 as shown above, 529 is multiplied by the tens' place of the multiplier which is 6. The number is moved one place to the left because we are multiplying by a tens' place number. The result would be 3174:

  15
  529
   67
 3703
3174

• A line is drawn under the lower product (3174) and the products are added together to get the final answer of 35443.

  
    15
    529
     67
   3703
  3174
  35443