Math Drill Pages

2 Digit by 2 Digit Multiplication Worksheets

Multiplying by a 2-digit number means making two partial products and adding them. This sheet has 9 problems with extra space under each one for the working. It suits grades 4 and 5 and takes about 20 minutes.

Grade
Grade 4–5
Problems
9
Time
About 20 minutes
Standard
4.NBT.B.5
Download PDF (US Letter) Download PDF (A4)

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

Worksheet preview

Part A Multiply. Show your work.

  1. 16× 761216
  2. 57× 784446
  3. 59× 573363
  4. 89× 918099
  5. 68× 332244
  6. 11× 22242

Part B Multiply. Check each answer by estimating.

  1. 35× 541890
  2. 84× 131092
  3. 82× 574674

Tips for teachers and parents

  • Split the bottom number into tens and ones. For 46 × 23, find 46 × 3 = 138, then 46 × 20 = 920, then add: 1,058.
  • Teach the zero placeholder on the second line. Because the 2 in 23 means 20, the second partial product starts with a 0 in the ones column.
  • Use an area model for students who are not ready for the standard method: a 2-by-2 grid with 40 and 6 across the top and 20 and 3 down the side.
  • Estimate by rounding both numbers: 46 × 23 is close to 50 × 20 = 1,000.

Common mistakes

  • Leaving out the zero placeholder, so the second partial product lines up under the first. The total then comes out far too small.
  • Mixing the carries from the two partial products. Have the student cross out the first row's carries before starting the second row.

What to practice next

Try 3-digit by 2-digit multiplication, which uses the same two-row method with longer partial products.

Frequently asked questions

How do you do 2 digit by 2 digit multiplication?

Multiply the top number by the ones digit, then by the tens digit with a zero placeholder, and add the two results.

Why is there a zero on the second line?

The second line multiplies by the tens digit, so the result is a number of tens. The zero keeps every digit in the correct place value column.

Why are there only 9 problems?

Each problem needs space for two partial products and the addition. Fewer problems with room to work produce fewer careless errors.