Multi-digit multiplication worksheets
Aligned with Common Core 5.NBT.B.5
Printable fifth-grade multiplication worksheets and how-to teaching pages: the standard algorithm for 3-digit and 4-digit by 2-digit numbers and 3-digit by 3-digit numbers, finding mistakes, checking whether answers are reasonable, missing digits and multi-step word problems.
The worksheets
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How to Multiply 3-Digit by 2-Digit
427 × 36 worked on graph paper with each step explained, an estimate to check, and why the 0 goes in the ones place.
3-Digit by 2-Digit
3-digit by 2-digit multiplication on graph paper, with shaded rows for the two partial products and the answer. Fewer has 4 problems, Standard has 6 and More has 9.
4-Digit by 2-Digit
4-digit by 2-digit multiplication on graph paper. Fewer has 4 problems, Standard has 6 and More has 9.
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How to Multiply by a 3-Digit Number
243 × 152 worked on graph paper with three rows, plus how many zeros each row needs and what to do when the middle digit is 0.
3-Digit by 3-Digit
3-digit by 3-digit multiplication on graph paper, with shaded rows for the three partial products and the answer. Fewer has 4 problems, Standard has 6 and More has 9.
Find the Mistake
Worked problems with one mistake each, like a missing 0, a carry left out or rows added wrong, next to an empty grid to fix it. Fewer has 2 problems, Standard has 3 and More has 4. The answer key circles the mistake, names it and shows the correct work.
Is It Reasonable
Students' answers to check by estimating, some right and some way off. Fewer has 4, Standard has 5 and More has 6. Includes an answer key.
Missing Digits
Finished multiplication problems with some digits missing, each with exactly one answer. Fewer has 4 problems with 2-digit numbers, Standard has 6 and More has 6 with more blanks. Includes an answer key.
Multiplication Word Problems
Multi-step word problems that use multiplying large numbers with adding or subtracting. Fewer has 3, Standard has 4 and More has 5. Includes an answer key.
Print the whole packet
One copy of every sheet above, in order. Tap + for more copies (up to 10).
For the parent or teacher
What it is
Fifth graders multiply bigger whole numbers with the standard algorithm, like 427 × 36 or 243 × 152. Each digit of the bottom number makes its own row, with a 0 for the tens row and two 0s for the hundreds row, and then the rows are added. The goal by the end of 5th grade is to do this accurately and without needing an area model, and to estimate to check that an answer makes sense.
What comes next
Division with two-digit divisors, which uses multiplying by 2-digit numbers to check each step.
How to teach it
- Teach in order or jump to whatever your student needs. A student may multiply 3-digit by 2-digit numbers well and still be building accuracy with 3-digit by 3-digit numbers.
- Review partial products or the area model from 4th grade if the placeholder 0 doesn't make sense yet.
- Have your student say each step out loud, including what they carry.
- Estimate before or after every problem. A big difference means it's time to check.
- Use Find the Mistake to talk about the most common errors before they become habits.
Common mistakes
- Forgetting the 0 in the ones place for the tens row, or the two 0s for the hundreds row.
- Adding a carry from the first row into the second row.
- Lining up a row in the wrong columns.
- Adding the rows wrong after all the multiplying is right.