4th Grade Math · Multi-Digit Multiplication
2-digit by 1-digit Worksheets
Free and printable, with a full answer key. Every worksheet is generated fresh, so you can hand a different version to every student.
Problems such as 47 × 6.
Or start with a ready-made version:
How it works: a quick refresher
For the adult at the table. These are the rules the worksheet practices, followed by one problem worked from start to finish.
| Strategy | How it works |
|---|---|
| Multiply each place | 47 × 6 = 40 × 6 + 7 × 6 = 240 + 42 = 282. |
| Regroup as you go | 7 × 6 = 42: write 2, carry 4 to the tens, and add it after multiplying the tens. |
| Two partial products | For 36 × 24, multiply 36 by 4, then by 20, then add: 144 + 720 = 864. |
| The zero placeholder | On the second line of a 2-digit by 2-digit problem, write a 0 in the ones place first, because you are multiplying by tens. |
| Estimate | 36 × 24 is about 40 × 20 = 800, so 864 is reasonable. |
Worked example
Find 36 × 24.
- Multiply 36 by the 4 ones: 6 × 4 = 24, write 4 and carry 2; 3 × 4 = 12, plus 2 is 14. First partial product: 144.
- Multiply 36 by the 2 tens: write 0 in the ones place, then 6 × 2 = 12, write 2 and carry 1; 3 × 2 = 6, plus 1 is 7. Second partial product: 720.
- Add the partial products: 144 + 720 = 864.
Ready-made versions
Three fixed versions you can link to or share. Each is a PDF with its own answer key.
- 2-digit by 1-digit Worksheets, version 1Worksheet PDFAnswer key PDF
- 2-digit by 1-digit Worksheets, version 2Worksheet PDFAnswer key PDF
- 2-digit by 1-digit Worksheets, version 3Worksheet PDFAnswer key PDF
Grade level and standard
Written for 4th grade math (place value) and aligned to CCSS 4.NBT.B.5. It also works as review in later grades.
Common questions
- Is there an answer key?
- Yes. Every worksheet has a matching answer key with each answer worked on the same grid or layout as the question. The worksheet ID printed at the bottom of each page pairs a sheet with its key.
- My child learned the area model. Can they use it here?
- Yes. The answer key shows only the final product, so any correct method works: the area model, partial products or the standard algorithm.
- Why does a page have only 12 problems?
- Each problem needs room underneath for the working, especially the 2-digit by 2-digit ones.
- How many different versions are there?
- About a million per skill. Each time you press the button the problems are generated fresh, so you can print a different version for every student, a retake, or another night of practice.
- Are the worksheets free?
- Yes. They are free to print and copy for your home or classroom, with no sign-up.