Multiplication

Multiplication of Two and Three Digit Numbers

Multiplying a three digit number by a two digit number (for example 529 * 67) with paper and pencil involves several steps.

• Place one number above the other so that the hundred's, ten's and one's 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 10 so place a six above the tens place column and place three below the line in the one's place column.

  6
 529
  67
   3

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

 26
 529
  67
  03

• The hundreds place of the top number (5) is multiplied by the one's 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 ten's 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