Smart Starters · Ages 8 to 10
Long Multiplication 3 by 2 Digit
Formal long multiplication with place holders. Five levels with answer keys.
The learning journey
Every activity is one step. Here is where this one fits.
- PlayLearn the idea in a game
- Practise(you are here)Lock it in on paper
- ReviewCome back and keep it sharp
- MasterTake on a harder challenge
- AchieveEarn a certificate
About Long Multiplication 3 by 2 Digit
Long multiplication is the compact form of everything that came before it, and it has exactly one defining error: forgetting the place holder. Multiplying by the tens digit produces a result ten times larger than the digits suggest, and the zero that records this is the thing children leave out — after which the arithmetic is flawless and the answer wrong by hundreds. This worksheet keeps that step in the open. Each question sets out the two multiplications separately, by the ones digit and then by the tens, so the second is explicitly a multiplication by twenty or thirty rather than by two or three, and then asks for the total. Seeing the tens value written out is what makes the place holder obvious rather than arbitrary. Every calculation is three digits by two, and the tens digit of the smaller number is never zero, since that would remove the second row and with it the whole point. Numbers grow across the levels while the two-row structure stays constant. Twelve questions per page. Each level prints as a clean A4 sheet in black and white and downloads with its own separate answer key showing both partial results and the total. Its on-screen twin is Long Multiplication Skyline.
Common questions
- What is the defining error in long multiplication?
- Forgetting the place holder. The arithmetic is then flawless and the answer wrong by hundreds.
- How does this worksheet address it?
- The second multiplication is written as a multiplication by twenty or thirty, so the place holder is obvious rather than arbitrary.
- Is the tens digit ever zero?
- No. That would remove the second row and with it the point of the worksheet.
- Does the key show the partial results?
- Yes, both of them as well as the total.
A hand for grown-ups
- Before you start
- Think of it as groups: "4 × 3" is four groups of three. Have something you can arrange into equal groups.
- While they work
- Skip-counting (3, 6, 9, 12…) is a solid way in before facts are memorised. Let them use it — speed comes later.
- Afterwards
- Spot arrays in real life together — eggs in a box, tiles on a floor. Rows-and-columns is multiplication you can see.
- Watch out for
- Treating it as harder addition and losing track. Grouping objects physically keeps the "equal groups" idea in view.
- Away from the screen
- Lay out objects in rows and columns and count them two ways. Cooking with doubled recipes is multiplication too.
Where to go next
Chosen by the skills this activity practises.