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Multiplication of Two Digit Numbers

How to multiply a three digit number by a two digit number (e.g. 29 * 67).

  • Place one number above the other so that the tens' and ones' places are lined up. Draw a line under the bottom number.
  • 
     29
     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
     29
     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 20 is placed below the line to give 203 for 29 multiplied by 7.
  • 
      6
      29
      67
     203
    
  • After 29 has been multiplied by 7 as shown above, 29 is multiplied by the tens' place of the multiplier which is 6. The product of 29 times 6 is moved one place to the left because we are multiplying by a tens' place number. The result would be 174:
  • 
       5
       29
       67
      203
     174
    
    
  • A line is drawn under the lower product (174) and the products are added together to get the final answer of 1943.
    
       5
       29
       67
      203
     174
     1943
    
    





Practice

What is the Product of the two numbers?

* =   



You have correct and   incorrect.  This is percent correct.

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