Partial products method: Challenge Page
Grade 4 · Multi-Digit Multiplication · CCSS.Math.4.NBT
- 24 × 9 = (20 × 9) + (4 × 9) = ___
- 30 × 8 = (30 × 8) + (0 × 8) = ___
- 45 × 6 = (40 × 6) + (5 × 6) = ___
- 31 × 4 = (30 × 4) + (1 × 4) = ___
- 49 × 5 = (40 × 5) + (9 × 5) = ___
- 44 × 9 = (40 × 9) + (4 × 9) = ___
This is the preview. Hit "Print this worksheet" above to open a clean, ad-free, one-page version with name and date lines and writing space for each problem. A separate answer key prints on the second page for the grown-up. Tear it off before handing the practice page to your child.
Designed for Grade 4 learners, this printable explores Partial products method through clear, scaffolded problems that grow in difficulty across the page so kids hit a stretch challenge after the easy warm-up.
We organize the page so the easier warm-up problems sit at the top and the more challenging stretch questions sit near the bottom, giving students a confidence boost before they reach the harder work. Students who finish quickly can flip the page over and write two new problems of their own that target the same skill. It's a powerful retention trick that doubles as a quick formative check.
Print one copy per child, set a quiet 10–15 minute block, and let students work through the page with a pencil and an eraser. Sit with them as they finish so any misconceptions surface right away instead of getting practiced into bad habits.
Want a different angle on this skill? Try the matching variants in our Grade 4 · Multi-Digit Multiplication collection, or jump up to the cross-grade Multi-Digit Multiplication hub.
Parents tell us the most useful thing about this Partial products method page is how fast they can hand it to a kid. No login. No PDF locked behind an email gate. Click print, hand it over, get ten quiet minutes of real math practice without prepping anything.
This worksheet is aligned to Common Core State Standard CCSS.Math.4.NBT and supports the broader Multi-Digit Multiplication progression that students continue to build through later grades. The same skill is revisited each year with greater abstraction, so the work your student does on this single sheet feeds into the multi-digit and multi-step problems they will see in middle school.
Looking for more Multi-Digit Multiplication practice? Browse the rest of the Grade 4 collection for related printables that scaffold the same standard from different angles.
Sample problems on this worksheet
- 24 × 9 = (20 × 9) + (4 × 9) = ___
- 30 × 8 = (30 × 8) + (0 × 8) = ___
- 45 × 6 = (40 × 6) + (5 × 6) = ___
- 31 × 4 = (30 × 4) + (1 × 4) = ___
- 49 × 5 = (40 × 5) + (9 × 5) = ___
- 44 × 9 = (40 × 9) + (4 × 9) = ___
How to use this worksheet
Print one copy per child on standard letter or A4 paper. Set a quiet 10 to 15 minute window. Hand your student a sharpened pencil and an eraser, and let them work top to bottom. The first row is a warm-up on purpose. The last row is a stretch on purpose. Sit with them as they finish so any misconceptions surface right away instead of getting practiced into a bad habit.
If your student finishes quickly, flip the page over and ask them to write two new problems of their own that target the same skill. It's a powerful retention move. If they get stuck, pull out manipulatives that match the skill (counters for early addition, base-ten blocks for place value, fraction tiles for fractions) and work through one or two problems together before letting them try the rest on their own.
Common Core alignment
This page targets CCSS.Math.4.NBT inside the broader Multi-Digit Multiplication progression. The skill is introduced earlier in elementary school through concrete representations and revisited each year with greater abstraction. To see how it develops across grade levels, visit our Multi-Digit Multiplication hub. To see the rest of the Grade 4 work in this strand, visit the Grade 4 · Multi-Digit Multiplication collection.