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.
529
67
 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.
6
529
67
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.
6
529
67
03
 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
 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

