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. ```   6  509   67    3 ``` 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   63 ``` 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 3563 ``` 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 3054 ``` 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 ``` Return to Top

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