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
    
    

What is the Product of the two numbers?

  *     =     

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