Multiply 3-digit numbers by 2-digit numbers

How to multiply a 3-digit number by a 2-digit number?

1. Write the Numbers Vertically:
   Align the numbers by place value (ones, tens, hundreds).
   
2. Multiply by the Ones Digit:
   Multiply the 3-digit number by the ones digit of the 2-digit number. Write the result below the line.
   
3. Multiply by the Tens Digit:
   Multiply the 3-digit number by the tens digit of the 2-digit number. Write the result below the first product, but shift it one place to the left (add a zero at the end).
   
4. Add the Partial Products:
   Add the two results from steps 2 and 3 to get the final answer.
   

The following diagram shows an example of multi-digit multiplication. Scroll down the page for more examples and solutions on multi-digit multiplication.

Multiplication Worksheets
Practice your multiplication skills with the following worksheets:
Printable & Online Multiplication Worksheets

Multiplying 3-digit by 2-digit

This video goes step by step though a standard method to multiply a 3 digit number by a 2 digit number.

Multiply 3 digits by 2 digits

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Multiplication: 3 digits by 2 digits

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Multi-Digit Multiplication

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