Mental multiplication and division
Use place value, known and derived facts to multiply and divide mentally, including multiplying by 0 and 1, dividing by 1, and multiplying together three numbers
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Mental multiplication and division means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.
Materials: Small counters or grid paper; Paper and pencil. Adult models 3 × 4 as three groups of four, then writes the product. Child builds three multiplication examples as equal groups and records each product. Done: three correct products with groups matching the writing. Stop after the fresh check; keep optional challenge for another day.
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Start practiceMental multiplication and division practice
Practice key ideas from Mental multiplication and division.
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Learning resources
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Illustrative Mathematics · Practice link — not the full lesson
Comparing Products
Before you open · source notes
Comparing products supports mental multiplication reasoning. Not every long-multiplication layout.
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 compare two products without fully multiplying both on paper.
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. “Comparing Products.” 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
- Calculate 40 × 6 = 240 mentally using place value
- Explain why any number × 0 = 0 and any number × 1 = the number itself
- Multiply three numbers mentally by choosing a useful pair first (e.g. 2 × 7 × 5 = 2 × 5 × 7 = 70)
“Can your child work out things like '6 × 0', '1 × 35', or '100 ÷ 100' instantly in their head — using what they know rather than working everything out from scratch?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Multiplication & Division
- Age range
- Ages 8–11
Standards