Multiplication of Two Three Digit Numbers How to multiply a three digit number by a two digit number (e.g. 529 * 267). 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  267 ``` 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  529  267    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. ```  26  529  267   03 ``` 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. ```  26  529  267 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 tens' place number. The result would be 3174: ```   15   529   267  3703 3174 ``` After 529 has been multiplied by 6 as shown above, 529 is multiplied by the hundreds' place of the multiplier which is 2. The number is moved one more place to the left because we are multiplying by a hundreds' place number. The result would be 1058: ```    15    529    267   3703  3174 1058 ``` A line is drawn under the lower product (1058) and the products are added together to get the final answer of 141243. ```    15    529    267   3703  3174 1058 141243 ``` Return to Top

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