Partial products multiplication worksheet
A free partial products worksheet: 20 problems, 2-digit by 1-digit and 2-digit by 2-digit, with every partial product in the answer key.
Download the free partial products multiplication worksheet (PDF)
Partial products multiplication worksheet
What’s on the worksheet
20 partial products problems: 12 two-digit by one-digit with two parts each, and 8 two-digit by two-digit with four parts each. The answer key lists every partial product and the total.
- 20 questions on partial products multiplication, sized for US Letter paper
- 2 pages of questions plus an answer key on the last page
- Written for grades 4–5, matching Common Core 4.NBT.B.5, 5.NBT.B.5
- Name and date lines at the top, and room to show the work
Sample questions from this worksheet
- 65 × 4: write the two partial products, then the total.
- 12 × 29: write the four partial products, then add.
- Which partial product is missing? 18 + 90 + ___ + 200 = 348
- How many partial products for 2-digit by 2-digit?
- 97 × 75 =
- Write 40 × 6 as a partial product.
Practice partial products online
Between worksheets, a few minutes on screen keeps the skill fresh:
- partial products lesson: worked examples and a quiz.
- area model: draw the same parts as boxes.
- standard method: how the parts become two rows.
Ask your child to point out which two partial products make each row of the standard method. For 34 × 26, 24 + 180 = 204 and 80 + 600 = 680.
Preview the worksheet and answer key
Make a new partial products multiplication worksheet
Need another page for extra practice, a retake or a second group in class? The free Mathify Kids test maker builds a fresh partial products multiplication worksheet with different numbers every time. Choose how many questions, print it with its own answer key, or let your child take it on screen and see the score straight away.
Partial products multiplication: a worked example (47 × 6)
- Split 47 into 40 + 7.
- Multiply each part by 6: 7 × 6 = 42 and 40 × 6 = 240.
- Add the parts: 42 + 240 = 282.
How to use it at home and in class
At home
Count the lines before starting: two digits times two digits means four partial products. Ten problems a day works better than a whole sheet at once. Mark them together with the answer key, then ask your child to explain one they got wrong: finding the mistake themselves is where the learning happens.
In class
Use the first row as a warm-up, a full page for independent practice, or five questions as an exit ticket. For a retake or a second group, make a new version with the test maker so every child gets different numbers.
Mistakes to watch for
- Missing a partial product in 2-digit by 2-digit problems (there are always four).
- Writing 40 × 6 = 24 instead of 240.
What to practice before and after partial products multiplication
- Before: area model multiplication. If this sheet is a struggle, go back a step.
- After: 3-digit by 2-digit multiplication, once this one is mostly right.
- Learn it first: the partial products multiplication lesson and the multiplication chart.
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Questions parents ask
How many partial products are there in 2-digit by 2-digit multiplication?
Four: tens × tens, tens × ones, ones × tens and ones × ones. For 34 × 26 they are 600, 80, 180 and 24.
What grade is this partial products multiplication worksheet for?
It is written for grades 4–5 and matches Common Core standards 4.NBT.B.5, 5.NBT.B.5.
Can I get a different version of this partial products multiplication worksheet?
Yes. Use the free Mathify Kids test maker to make a new partial products multiplication worksheet with different numbers every time. You choose how many questions, and every version comes with its own answer key.