Picture this: you’re confidently counting in French—quarante, cinquante, soixante—when suddenly you hit seventy and everything falls apart. Instead of septante, you’re faced with soixante-dix (sixty-ten). Welcome to the wonderfully weird world of number systems!
If you’ve ever wondered why some languages make counting feel like solving a puzzle, you’re not alone. The truth is, not every language follows the neat and tidy pattern that English speakers are used to.
When Numbers Get Weird: The French Conundrum
French numbers start off so promisingly. Everything makes perfect sense until you reach the seventies, and then—chaos. Suddenly, seventy-one becomes soixante et onze (sixty-and-eleven), and seventy-five transforms into soixante-quinze (sixty-fifteen).
But wait, it gets better. Eighty isn’t just huitante—it’s quatre-vingts, literally “four twenties.” And ninety-eight? Brace yourself for quatre-vingt-dix-huit, which breaks down to “four-twenty-ten-eight.”
This isn’t just French being difficult for the sake of it. Languages like Welsh, Danish, and Basque also throw curveballs when it comes to numbers, straying from the simple tens-plus-units formula that English follows.
The Ancient Origins of Modern Number Chaos
Every linguistic quirk has a story, and number systems are no exception. Throughout history, different civilizations developed unique ways to count and organize quantities.
Take the Maya, who created an incredibly sophisticated system using just three symbols: a dot, a line, and a shell representing zero. Their mathematical prowess allowed them to calculate astronomical events with remarkable precision.
These ancient counting methods left their fingerprints on modern languages. Even though we’ve largely standardized around certain systems today, many languages still carry traces of their numerical ancestors.
Base 10: The System You Know and Love
The foundation of most modern number systems is base 10, also called the decimal system. This is what English uses, and it’s beautifully straightforward.
In base 10, we count units until we reach ten, then express larger numbers as multiples of ten plus any remaining units. When you say “sixty-two,” you’re really saying “six tens and two.” The “-ty” ending in words like “sixty” and “seventy” is your linguistic clue—it’s marking those multiples of ten.
Simple, right? Well, here’s where things get interesting. Not every language evolved with base 10 as its foundation.
Base 20: When Twenty Rules the Day
Enter the vigesimal system—base 20 counting that’s behind much of the numerical madness you encounter in languages like French. The term “vigesimal” comes from the Latin viginti (twenty), which also gave French its word vingt.
Instead of organizing numbers around groups of ten, vigesimal systems build everything around twenty. So rather than thinking in terms of 1, 10, 100, 1,000, these systems work with 1, 20, 400, 8,000.
In a pure vigesimal system, each number from one to twenty gets its own unique name. Numbers above twenty follow a pattern: [multiples of twenty] + [remainder]. The number 72, for instance, becomes “three twenties and twelve.”
Basque offers a perfect example. The number 44 is berrogeita lau, which literally translates to “two-twenties-and-four.” Once you understand the pattern, it makes perfect sense!
When Systems Collide: Hybrid Counting
Here’s where modern languages get really creative. With base 10 dominating global commerce and science, many traditionally vigesimal languages have adapted by creating hybrid systems.
Basque demonstrates this beautifully. For a number like 256, a pure base-20 system would express everything in terms of twenties. But modern Basque borrows the concept of “hundred” from decimal systems, then uses base 20 for numbers under 100.
So 256 becomes berr-eun eta berr-ogei-ta-hama-sei: “two-hundred and two-twenty-and-ten-six.” It’s a fascinating blend of decimal and vigesimal thinking.
French does something similar, but only preserves its vigesimal roots in numbers 70-99. That’s why you get those head-scratching constructions like quatre-vingt-quinze (four-twenty-fifteen) for 95.
Interestingly, French speakers in Belgium and Switzerland have largely abandoned these vigesimal remnants. In Brussels or Geneva, you’re more likely to hear nonante-sept (ninety-seven) instead of the traditional quatre-vingt-dix-sept (four-twenty-ten-seven).
Beyond Base 10 and 20: The Rare Systems
While decimal and vigesimal systems dominate, some languages march to entirely different numerical beats. Base 5 (quinary) systems appear in various Pacific languages, including Drehu from New Caledonia.
Even more unusual is the Ekari language from New Guinea, which uses a base 60 (sexagesimal) system for larger numbers while incorporating base 20 and 10 for smaller ones. This creates an incredibly complex but mathematically sophisticated counting method.
Base 60 isn’t just a linguistic curiosity—it has deep historical roots. The ancient Sumerians used sexagesimal counting in the 3rd millennium BCE, and their system is why we still divide hours into 60 minutes and minutes into 60 seconds today.
Spotting Patterns: Your Number Detective Challenge
Want to become a number system detective? Try this exercise with any language you’re learning. Write out the numbers 1-20, then the tens from 30-100. Look closely at how they’re constructed.
Do you see repeated elements? Unexpected patterns? Places where the logic seems to shift? These clues can reveal the historical influences that shaped how speakers of that language think about quantities.
Even in languages with mixed systems like French, you can often spot the seams where different counting traditions merged over time.
The Beauty in Numerical Chaos
What might seem like arbitrary complexity in number systems actually tells the story of human civilization. Each quirky counting method reflects how different cultures developed mathematics, trade, and abstract thinking.
The next time you’re struggling with French numbers or puzzling over another language’s numerical logic, remember: you’re not just learning to count. You’re connecting with thousands of years of human mathematical evolution, one number at a time.
So embrace the chaos! Those seemingly random patterns are windows into the fascinating diversity of human thought. And once you crack the code, you’ll never forget how to say quatre-vingt-dix-huit—trust us on that one.
