3 Digit by 2 Digit Multiplication Worksheets

These problems practice the standard multiplication algorithm that grade 5 students are expected to use fluently. Each of the 9 problems has room for two partial products. Plan on about 25 minutes.

Grade
Grade 5
Problems
9
Time
About 25 minutes
Standard
5.NBT.B.5

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Two pages: the worksheet, then the answer key. No sign-up needed.

Worksheet preview

Part A Multiply. Show your work.

  1. 804× 3225728
  2. 425× 5422950
  3. 309× 6921321
  4. 787× 7256664
  5. 371× 3312243
  6. 826× 9578470

Part B Multiply. Check each answer by estimating.

  1. 242× 8420328
  2. 276× 4612696
  3. 142× 212982

Tips for teachers and parents

  • Use the same two-line method as 2-digit by 2-digit: multiply by the ones digit, then by the tens digit with a zero placeholder, then add.
  • Keep columns straight. With answers up to five digits, lined or graph paper prevents most addition errors.
  • Estimate before solving. 487 × 36 is close to 500 × 40 = 20,000, so the answer should be somewhere in the tens of thousands.
  • Let students check one problem per sheet with a calculator. Finding their own mistake teaches more than being told about it.

Common mistakes

  • Misaligned partial products, which shift one digit into the wrong column. Ask students to draw light column lines before they start.
  • Errors in the final addition, especially carrying across several columns. Have students add the partial products from right to left and say each carry.

What to practice next

Students who are accurate here are ready for 4-digit by 2-digit problems and for multi-step word problems that use multiplication.

Frequently asked questions

What grade learns 3 digit by 2 digit multiplication?

Grade 5. Common Core standard 5.NBT.B.5 asks students to fluently multiply multi-digit whole numbers using the standard algorithm.

How do I check 3 digit by 2 digit answers quickly?

Round both numbers and multiply. If the answer is far from the estimate, look for a misaligned partial product.

Is the answer key included?

Yes, page 2 of the PDF shows every final answer.