Long multiplication (age 10+)
Fluently multiply multi-digit whole numbers (up to 4 digits by 2 digits) using the formal written method of long multiplication
Lesson
Set out your lesson
Multiply a four-digit whole number by a two-digit whole number. Label, align and add the two partial products.
Before teaching
Use this short check, then start teaching.
Ask for 36 × 4 (144) with a carry explained, and 36 × 20 (720) with the tens explained. If single-digit multiplication or place value is unclear, revisit the named multiplication prerequisite. Speed is not a target.
Check readiness directly. Prerequisite availability is not attainment.
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Teaching approaches
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1 approach
Multiply a four-digit whole number by a two-digit whole number. Label, align and add the two partial products.
Multiply a four-digit whole number by a two-digit whole number. Label, align and add the two partial products.
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Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
Illustrative Mathematics · Practice link — not the full lesson
Carnival Tickets
Before you open · source notes
Carnival Tickets supports multi-digit multiplication reasoning used in long multiplication. Not every fraction product model.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk the learner to find a total with multi-digit multiplication and show the steps.
Opening this link does not save learning or assess mastery.
Source, access and review notes
Public Illustrative Mathematics task page. The .html address responds HTTP 308 to this URL. An anonymous GET of this URL on 2026-11-12 returned HTTP 200 with no login or payment prompt. Where a teacher solution is present, it is on the same page as the student task; this check did not find a separate locked student view. An adult can use the student view section and should not read a solution aloud. Advertising was not observed in the fetched HTML text; that is not a browser, device, or ad-free guarantee. This is a paper or discussion task, not an automatically marked interactive game. Opening the link does not save practice or assess mastery. Diagrams on the page use missing or filename-only alt text, so they are not an accessible image equivalent. Accessibility still depends on an adult describing the picture.
Illustrative Mathematics. “Carnival Tickets.” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.
CC BY-NC-SA 4.0 — link only
Check understanding
- Correctly compute 2,463 × 37 using long multiplication
- Explain each partial product in a long multiplication and why they are added
- Multiply a four-digit number by a two-digit number without procedural errors
“Can your child use long multiplication to work out something like '2,347 × 24' — setting it out in two rows, one for the units and one for the tens, then adding the results?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Multiplication & Division
- Age range
- Ages 10–12
Standards