Multiply 3-Digit by 2-Digit Numbers: Learn

• Place one number above the other so that the ones' place digits are lined up. Draw a line under the bottom number.

  	5	2	9
  *		6	7

• Multiply the two ones' place digits (9 * 7 = 63). This number is larger than 9, so place the six above the tens' place column and place the three below the line in the ones' place column.

  		6
  	5	2	9
  *		6	7
  			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.

  	2	6
  	5	2	9
  *		6	7
  		0	3

• 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.

  	2	6
  	5	2	9
  *		6	7
  3	7	0	3

• 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:

  		1	5
  		2	6
  		5	2	9
  *			6	7
  	3	7	0	3
  3	1	7	4

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

  		5	2	9
  *			6	7
  	3	7	0	3
  3	1	7	4
  3	5	4	4	3