Multiplication of a Three Digit by a Two Digit Number
How to multiply a three digit number by a two digit number (e.g. 509 * 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.
509
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.
509
67
 Muliply the digit in the top tens' place column (0) by the digit in the lower ones'
place column (7). The answer (0*7=0) is added to the 6 above the top tens' place
column to give an answer of 6. The 6 is placed below the line to the left of the 3.
6
509
67
3
 The hundreds' place of the top number (5) is multiplied by the ones' place of
the multiplier (5*7=35). The 35 is placed below the line to the left of the 63.
6
509
67
63
 After 509 has been multiplied by 7 as shown above, 509 is multiplied by the tens'
place of the multiplier which is 6. The product of 509*6 is moved one place to the left because
we are multiplying by a tens' place number. The result would be 3054:
15
509
67
3763
 A line is drawn under the lower product (3054) and the products are added
together to get the final answer of 34303.
15
509
67
3763
3054
34303

