5th Grade Math · Multi-Digit Multiplication Fluency
4-digit by 2-digit Worksheets
Fresh practice, ready to print. Answer key included.
Problems such as 2,518 × 36.
Make it yours
Or start with a ready-made version.
How it works: a quick refresher
The rules this worksheet practices, then one problem worked from start to finish.
| Strategy | How it works |
|---|---|
| Two partial products | Multiply by the ones digit first, then by the tens digit, then add. |
| The tens product starts with a zero | You are multiplying by tens, so write 0 in the ones place of that line before you begin. |
| Regroup as you go | When a product is 10 or more, write the ones digit and carry the tens to the next place. |
| Estimate first | 346 × 27 is about 300 × 30 = 9,000, so an answer near 900 or 90,000 needs another look. |
| Check the ones digit | The ones digit of the answer comes only from the ones digits of the factors. |
Worked example
Find 234 × 16.
- 1Multiply 234 by the 6 ones: 1,404. That is the first partial product.
- 2Multiply 234 by the 1 ten: write 0 in the ones place, then 234 × 1 = 234, so the second partial product is 2,340.
- 3Add the partial products: 1,404 + 2,340 = 3,744.
- 4234 × 16 = 3,744.
Ready-made versions
Three fixed versions you can link to or share. Each is a PDF with its own answer key.
- 4-digit by 2-digit Worksheets, version 1Worksheet PDFAnswer key PDF
- 4-digit by 2-digit Worksheets, version 2Worksheet PDFAnswer key PDF
- 4-digit by 2-digit Worksheets, version 3Worksheet PDFAnswer key PDF
Grade level and standard
Written for 5th grade math (place value) and aligned to CCSS 5.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.
- How is this different from the grade 4 multiplication pages?
- Grade 4 stops at a one-digit factor, or at two digits times two digits. These pages are three-digit and four-digit numbers times a two-digit number.
- Can my child use an area model instead of partial products?
- Yes. The answer key shows only the final product, so any correct method is fine.
- 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.