Multiply 3-digit numbers by 2-digit numbers


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These lessons help Grade 4 students learn how to multiply 3-digit numbers by 2-digit numbers, with video lessons, examples and step-by-step solutions. Multiplying a 3-digit number by a 2-digit number involves breaking the problem into smaller, manageable steps using the standard multiplication algorithm.




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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.

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

Multiplication: 3 digits by 2 digits

Multi-Digit Multiplication



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