Multi-Digit Multiplication
Free printable multi-digit multiplication worksheets for 5th grade. Three-digit by two-digit problems for the standard algorithm, with a key.
By fifth grade the standard algorithm is the thing being practised, not the facts underneath it. Every problem pairs a three-digit number with a two-digit one, so there are two partial products to line up and add - the layout where place-value slips actually show, and the size fifth grade is expected to be fluent with.
Fifteen problems fit on a page, because at this size each one is a block of working rather than a line. Turn the answer key on and a wrong answer can be traced to the partial product that caused it rather than just marked.
What this worksheet covers
- Multiply a three-digit number by a two-digit number
- Write and add two partial products using the standard algorithm
Common Core standards
- 5.NBT.B.5 Fluently multiply multi-digit whole numbers using the standard algorithm.
Frequently asked questions
Where are the two-digit divisor division worksheets?
The Long Division page handles those - set the divisor range to two digits and it lays each problem out with room to work.
Can I make these easier?
Set the first range to two digits for two-digit by two-digit problems, which is where fourth grade finishes and fifth grade starts.
Why does the second row start with a zero?
Because the second digit you multiply by is a tens digit. In 324 x 56 the 5 means 50, so that row is 324 x 50 and has to end in a zero. Leaving the zero out is the most common mistake at this size, and it gives an answer that is far too small.
How large do the answers get?
Up to five digits. The largest possible problem is 999 x 99 = 98,901, so each answer needs room for two partial products and their sum.
What grade is multi-digit multiplication?
Fifth grade, which is where students are expected to multiply multi-digit whole numbers fluently with the standard algorithm.