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Two-digit by two-digit multiplication worksheets

Twenty problems multiplying two two-digit numbers, such as 46 × 38, stacked in three versions with answer keys and space for the partial products.

Multi-digit multiplication: two digits × two digits

NameDate

Multiply.

Sheet AFree at teach.peabody.kids

Multi-digit multiplication: two digits × two digits

NameDate

Multiply.

Sheet BFree at teach.peabody.kids

Multi-digit multiplication: two digits × two digits

NameDate

Multiply.

Sheet CFree at teach.peabody.kids

Answer key

Sheet A

  1. 7,812
  2. 4,278
  3. 3,471
  4. 1,015
  5. 3,762
  6. 781
  7. 5,402
  8. 3,410
  9. 1,352
  10. 7,395
  11. 1,148
  12. 5,609
  13. 4,500
  14. 4,508
  15. 1,682
  16. 1,624
  17. 4,823
  18. 3,010
  19. 6,768
  20. 3,952

Sheet B

  1. 2,133
  2. 2,703
  3. 1,836
  4. 4,899
  5. 4,116
  6. 288
  7. 5,664
  8. 784
  9. 672
  10. 3,128
  11. 966
  12. 3,009
  13. 1,292
  14. 510
  15. 7,030
  16. 4,488
  17. 1,584
  18. 5,772
  19. 5,264
  20. 5,346

Sheet C

  1. 7,227
  2. 884
  3. 6,417
  4. 2,016
  5. 1,449
  6. 5,478
  7. 2,961
  8. 1,450
  9. 2,397
  10. 7,372
  11. 4,140
  12. 4,785
  13. 611
  14. 2,279
  15. 874
  16. 4,704
  17. 1,056
  18. 6,348
  19. 1,369
  20. 4,263
Answer keyFree at teach.peabody.kids

Multi-digit multiplication: 20 problems a sheet, 3 versions that do not repeat each other where the numbers allow.

How to use it

  1. Look at the sheet: it is a real, printable sheet. Switch between Sheet A, B and C, or press New numbers (N) for a fresh set.
  2. Change how many problems, how many versions, and whether the key prints. Settings stay in this browser; Share copies a link that rebuilds the same sheets.
  3. Press Print sheet A and key, or Print all. The answer key prints on its own page, so you can keep it back.

Ideas for class

  • Show the area model next to the written method for the first week: four boxes for 40 × 30, 40 × 8, 6 × 30 and 6 × 8.
  • Teach students to write the zero in the ones place of the second row before they start it, which is the placeholder for the tens.
  • Print the sheet twice with different versions, and ask students to solve the second one without looking at their first work.

Related

Questions

Can the answer have a zero in the middle?

Yes, a product such as 50 × 41 = 2,050 can come up. They are worth discussing, since a missing zero in a middle place is a common slip.

Is there a harder version?

Yes. Use the three-digit by two-digit level in the maker. The page for it is separate from this one, since the method takes a third row.

Are the answer keys checked?

Each answer is worked out by the code that wrote the problem, and our tests recompute every answer a second way and compare. Please still look over the key before you grade a class set.

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What this worksheet covers

Two-digit by two-digit multiplication adds a second row of work: the first digit of the multiplier gives one partial product, the second digit gives another, and the two are added. Each problem here has two numbers from 11 to 99, stacked with room beneath for both partial products. Every answer is between 121 and 9,801, so it needs three or four digits.

Who it is for

Fourth and fifth grade. Common Core 4.NBT.B.5 asks students to multiply two two-digit numbers, and 5.NBT.B.5 expects fluency with the standard algorithm. It follows a lesson on the area model.

Multiplying two two-digit numbers · grades 4 and 5

A worked example

46 × 38. First 46 × 8 = 368. Then 46 × 30 = 1,380, which is 46 × 3 with a zero on the end. Add 368 and 1,380 to get 1,748. Estimate: 50 × 40 is 2,000, so 1,748 is close.

Mistakes to watch for

  • Leaving out the placeholder zero, so the second row is the wrong size and the sum is far too small. An estimate shows it.
  • Carrying into the wrong row and adding it to the wrong digit. Colored pencils for each row can help.

Make it your own

This sheet is one setting of the math worksheet generator. Open it there to change the skill, the range of numbers or the heading, or to mix several skills on one sheet.