## Multiplying 3-Digit by 2-Digit

### Multiply 3-Digit by 2-Digit Numbers: Learn

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 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

### Multiplication: Practice

#### What is the product of the two numbers?

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