Ancient Calculators · Four notation systems

Try ancient calculation systems

Solve the same multiplication in four notation systems and feel why Hindu-Arabic numerals changed the world.

A question to carry first

Are numerals marks for answers, or tools that move a calculation?

The same multiplication exposes different steps and different places for error when its notation and tool change. Before timing yourself, notice what makes your hand stop.

Current calculation world

CCLXXXVII
×
XIII
Problem
287 × 13 = ?

Mediterranean recording practices

Values are visible, but the intermediate steps of multiplication are hard to unfold in the notation alone.

These traditions are not a single line of progress. They developed for different recording, trade, teaching, and astronomical settings across time and place.

A time × place portWhy did place value and zero change the cost of calculation?
The problem in Roman numerals
CCLXXXVII × XIII = ?
(The same problem in Hindu-Arabic numerals: 287 × 13)

💡 Roman numerals have no place value, which makes multiplication extremely difficult. Try it with pencil and paper—the difficulty is intentional.