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When to add an 's' to 'vingt' and 'cent'

French numbers have a few spelling rules that can catch English speakers off guard. One of the most common quirks involves the letter s at the end of vingt and cent.

In English, we say "two hundred", never "two hundreds". In French, however, these numbers sometimes take a plural s. You will see this in words like quatre-vingts and deux cents. But this s only appears under specific mathematical and positional conditions.

Word list
quatre-vingtsmA1 eighty 80 = quatre-vingts cinq centsmA2 five hundred 500 = cinq cents deux centsmA2 two hundred 200 = deux cents huit centsmA2 eight hundred 800 = huit cents neuf centsmA2 nine hundred 900 = neuf cents quatre centsmA2 four hundred 400 = quatre cents sept centsmA2 seven hundred 700 = sept cents six centsmA2 six hundred 600 = six cents trois centsmA2 three hundred 300 = trois cents
The multiplication rule

When you multiply twenty or a hundred, the resulting French number takes a plural s at the end. For example, the number eighty is literally four twenties. Because there is more than one twenty, vingt becomes quatre-vingts.

The same logic applies to the hundreds. Two hundred is deux cents, three hundred is trois cents, and this pattern continues all the way up to neuf cents.

Il y avait quatre-vingts personnes au concert.
(There were eighty people at the concert.)
Ce livre coûte deux cents euros.
(This book costs two hundred euros.)
Mon village compte huit cents habitants.
(My village has eight hundred inhabitants.)
When the S disappears

There is a major exception to the plural rule. The s only stays if vingt or cent is the very last word in the number. If another number follows immediately after, the s vanishes.

So, while eighty is quatre-vingts, eighty-one becomes quatre-vingt-un. The same happens with hundreds. You write cinq cents for five hundred, but five hundred and four is cinq cent quatre.

Mon grand-père a quatre-vingt-un ans.
(My grandfather is eighty-one years old.)
Nous avons payé trois cent cinquante euros pour les billets.
(We paid three hundred and fifty euros for the tickets.)
Le code de la porte est sept cent dix.
(The door code is seven hundred and ten.)
Watch out for thousands and millions

The word for a thousand is mille. It never changes form, meaning it never takes an s itself. Two thousand is simply deux mille.

Because mille counts as a number, it triggers the vanishing s rule. If you say two hundred thousand, the word cents loses its s because mille comes after it. You write deux cent mille.

Cette maison vaut quatre cent mille euros.
(This house is worth four hundred thousand euros.)

However, the words million and milliard are considered nouns in French, not numbers. Because they are not numbers, they do not cancel the plural s on cent or vingt. Two hundred million is written with the s intact.

Le pays compte deux cents millions d'habitants.
(The country has two hundred million inhabitants.)
Summary

To know if you need an s, remember this rule of thumb. Add an s to vingt and cent when they are multiplied (as in quatre-vingts or trois cents) AND they sit at the very end of the number. If any other number follows them, drop the s.