PrintableCharts

MULTIPLYING CROSSWISE

how to multiply 34 × 26, or any two two-digit numbers, writing down only the answer

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

Crosswise is the sum of two products: the tens of each number by the units of the other. A carry goes to the column on the left.

MIRROR PRODUCTS

Swap the digits in both numbers: the outer columns trade places and the middle one stays the same. So if the product of the tens equals the product of the units, the product of the numbers does not change: 12 × 42 = 21 × 24 = 504, 23 × 64 = 32 × 46 = 1472. Otherwise the products differ by 99 times the difference between the product of the tens and the product of the units: 43 × 62 − 34 × 26 = 99 × 18.

On the sheet

  • Crosswise is the sum of two products: the tens of each number by the units of the other. A carry goes to the column on the left.
  • 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 5 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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