PrintableCharts

MULTIPLYING BY DOUBLING

how to multiply two numbers when all you can do is halve, double and add

Built as a memo rather than a table: the thing worth hanging it up for reads across the room, with the full reference in smaller type below it.

Three sizes in one archive — from a sheet on the fridge to a poster on the wall.

Free

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Formats
A4 · A3 · A2
What you get
Print-ready PDFs, one per size, with every letterform converted to outlines — nothing to install, nothing to shift.
Subject
maths · school · memo · classroom

When halving, drop the remainder: 37 → 18 → 9. A crossed-out row has an even left number, and its right number stays out of the sum.

THE AHMES PAPYRUS

More than three and a half thousand years ago the scribe Ahmes copied out a mathematical scroll, noting that he was working from an ancient copy made in the time of the pharaoh Amenemhat III. It shows multiplication done just like the Egyptian way above: by doubling and adding. In 1858 the Scottish antiquarian Henry Rhind bought two parts of the scroll in Luxor, so it is called the Rhind papyrus, though more and more it is named after the scribe, Ahmes.

On the sheet

  • When halving, drop the remainder: 37 → 18 → 9. A crossed-out row has an even left number, and its right number stays out of the sum.
  • Colour carries meaning, but meaning never rests on colour alone — the sheet reads in black and white.
  • Nothing about how it was made: the sheet carries only what the reader needs.

Printing

  • Three sizes in the archive: A4 — 210×297 mm, A3 — 297×420 mm, A2 — 420×594 mm.
  • All text is converted to outlines. No fonts to install, and nothing shifts on another machine.
  • White background and sparing fills — it prints on a home printer without draining the cartridge.
  • Margins of at least 10 mm: a home printer cannot print to the edge.
  • No stroke thinner than 0.3 mm, so nothing disappears in print.

Why the numbers can be trusted. Every countable number here is computed from data rather than typed in, and the sheet must pass 2 independent checks before it is allowed to build — how many items there are, the order they come in, and the claim in the highlighted box itself. If one fails, there is no file.

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