SECTION 1
Historical Context & Motivation
If you've ever traveled to a French-speaking country, one of the first things you'd need to do is understand prices, addresses, and phone numbers. The French number system is not simply a matter of translating English words into French — it carries the fingerprints of a fascinating mathematical history that blends base-10 (decimal) and base-20 (vigesimal) counting traditions. Understanding where these patterns come from makes the system far easier to remember and use in everyday contexts.
~50 BCE • Celtic & Gaulish Roots
~800 CE • Latin Influence through the Church
1795 • The Metric System & the Franc
2002 • The Euro Arrives
So why does French say quatre-vingts (literally "four twenties") for 80 instead of something simpler? And how do you ask for a price in a Parisian café without stumbling? These are the questions this lesson answers — giving you the tools to understand and produce French numbers and prices with confidence.
SECTION 2
Core Principles of French Numbers
French numbers follow several core principles. Once you understand these patterns, counting in French becomes much more predictable. The system is built on a few foundational ideas that govern how numbers are formed, combined, and spoken.
Base-10 Foundation (0–60)
Vigesimal Shift (60–99)
The Role of 'et' and Hyphens
Agreement & Spelling Rules
Currency Expression
KEY TAKEAWAY
SECTION 3
Visual Map of French Numbers 0–100
The diagram below maps out the entire French number system from 0 to 100, organized into color-coded zones. Notice how the pattern changes at 60 — this is where the vigesimal (base-20) logic kicks in. The top section shows the simple decimal zone, while the lower section highlights the compound constructions that make French numbers unique.
Pay special attention to the transition at 60. While numbers 20 through 59 follow a clean decimal pattern — vingt, trente, quarante, cinquante — the system shifts after soixante. There is no unique word for 70, 80, or 90 in standard French. Instead, you build these numbers by adding onto 60 or multiplying 20. This is the single most important pattern to internalize.
SECTION 4
How French Numbers Are Constructed
While French numbers don't involve algebraic equations in the traditional sense, they do follow arithmetic formulas that you can use to construct any number. Think of each number as having a "recipe" — once you know the ingredients, you can build any number on demand.
NUMBERS 17–19 (TEENS PATTERN)
After the unique words 0–16, teens 17–19 follow the pattern: dix-sept, dix-huit, dix-neuf. Simply combine 'dix' (10) with the unit digit.
NUMBERS 20–69 (DECIMAL PATTERN)
Use the tens word (vingt, trente, quarante, cinquante, soixante) plus the unit. For numbers ending in 1 (21, 31, 41, 51, 61), insert 'et': vingt et un.
NUMBERS 70–79 (60 + TEENS)
70 = soixante-dix (60+10). For 71, use soixante et onze (60+11). Numbers 72–79 continue the teen pattern: soixante-douze, soixante-treize...
NUMBERS 80–99 (4 × 20 + REMAINDER)
80 = quatre-vingts (with -s). 81–99 drop the -s: quatre-vingt-un (81). 90 = quatre-vingt-dix (4×20+10). Note: there is no 'et' used with quatre-vingt numbers.
Spelling Alert
SECTION 5
Expressing Prices in French
Now that you can form numbers, let's put them to use in the most common real-world context: talking about prices. In French-speaking countries, the currency is typically the euro (€) in France, Belgium, and Luxembourg, or the franc in Switzerland, while many African francophone nations use the CFA franc (a distinct currency used across much of West and Central Africa). Regardless of the currency, the structure for expressing prices follows the same pattern.
| Written Price | French Expression | Literal Translation |
|---|---|---|
| €0,75 | soixante-quinze centimes | seventy-five cents |
| €2,50 | deux euros cinquante | two euros fifty |
| €15,00 | quinze euros | fifteen euros |
| €78,90 | soixante-dix-huit euros quatre-vingt-dix | sixty-ten-eight euros four-twenty-ten |
| €199,99 | cent quatre-vingt-dix-neuf euros quatre-vingt-dix-neuf | one-hundred four-twenty-nineteen euros four-twenty-nineteen |
Common price expressions using euros and centimes
SECTION 6
Worked Example: Reading a French Restaurant Menu
Imagine you're at a restaurant in Lyon. Your server hands you a menu. You want to order a salade niçoise (€14,50), a steak-frites (€22,80), and a crème brûlée (€8,75). Let's work through saying each price in French and then calculate the total.
Ordering at a Restaurant in Lyon
- 1
Step 1 — Say the Salad Price (€14,50)
Break it down: 14 = quatorze (one of the unique words from 0–16). 50 = cinquante (a straightforward tens word).La salade coûte quatorze euros cinquante. - 2
Step 2 — Say the Steak Price (€22,80)
Break it down: 22 = vingt-deux (20 + 2, joined by hyphen). 80 = quatre-vingts (4 × 20). The -s is retained here because no numeral follows vingt. This is the governing rule: quatre-vingts keeps the -s whenever it is not followed by another numeral, and loses the -s whenever another numeral comes after it (e.g., quatre-vingt-trois = 83). This rule applies in all contexts, not just in prices.Le steak-frites coûte vingt-deux euros quatre-vingts. - 3
Step 3 — Say the Dessert Price (€8,75)
Break it down: 8 = huit. 75 = soixante-quinze (60 + 15). This is in the vigesimal zone, so we add 15 to soixante.La crème brûlée coûte huit euros soixante-quinze. - 4
Step 4 — Calculate and State the Total
Add the prices: €14,50 + €22,80 + €8,75 = €46,05. Now express it: 46 = quarante-six (40 + 6). 05 = cinq centimes.Le total fait quarante-six euros cinq centimes.
SECTION 7
Common Pitfalls & How to Avoid Them
French numbers can trip up even advanced learners. The table below summarizes the most frequent mistakes students make and the correct forms to use instead. Keeping these in mind will help you avoid errors on tests and in real conversations.
| Common Mistake | Why It's Wrong | Correct Form |
|---|---|---|
| "septante" for 70 | "Septante" is used in Belgium and Switzerland, but NOT in standard (France) French. | soixante-dix |
| "quatre-vingt-un" with "et" | Unlike 21, 31, etc., the number 81 does NOT use "et." The "et" rule only applies with vingt, trente, quarante, cinquante, soixante. | quatre-vingt-un (no "et") |
| "quatre-vingts-trois" for 83 | When a number follows "quatre-vingt," the -s on "vingts" disappears. | quatre-vingt-trois |
| "deux-cents-cinq" for 205 | "Cents" loses the -s when followed by another number. Also, no hyphen between cent and the following number in traditional spelling. | deux cent cinq |
| Using a period for decimals | French uses a comma for the decimal separator and a space or period for thousands: 1.500,00 € or 1 500,00 €. | €14,50 (comma, not period) |
Frequent mistakes with French numbers and prices
KEY TAKEAWAY
SECTION 8
Regional Variations & Looking Ahead
Standard French (as spoken in France) isn't the only version of French number words. If you travel to Belgium, Switzerland, or parts of Canada, you'll encounter regional variations that are actually simpler than the France standard. As you continue your French studies, you'll also encounter ordinal numbers (first, second, third) and larger numbers used in contexts like years, statistics, and formal writing.
| Number | France (Standard) | Belgium | Switzerland |
|---|---|---|---|
| 70 | soixante-dix | septante | septante |
| 80 | quatre-vingts | quatre-vingts | huitante (or octante, depending on canton) |
| 90 | quatre-vingt-dix | nonante | nonante |
Regional variations in French numbers for 70, 80, and 90
As you can see, Belgian and Swiss French use more logically transparent words — septante, huitante, nonante — that follow a strict base-10 pattern. Note that within Switzerland, the word for 80 varies by canton: huitante is used in Vaud, Valais, and Fribourg, while octante appears in other Swiss regions. In your French 1 class, you'll focus on the France standard, but knowing these variants helps you understand French as a living, diverse language. In future courses, you'll tackle ordinal numbers (premier, deuxième, troisième), numbers in dates, phone numbers, and large quantities — all building on the foundations you're learning now.
SECTION 9
Practice Problems
Question 1: CONCEPTUAL
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Question 2: BASIC CALCULATION
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Question 3: INTERMEDIATE
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Question 4: APPLIED
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Question 5: CRITICAL THINKING
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SUMMARY
Lesson Summary
Summary
French numbers are built on two systems: a base-10 (decimal) pattern from 0 to 59 and a base-20 (vigesimal) pattern from 60 to 99. You must memorize the unique words from 0 to 16, then learn the tens words (vingt, trente, quarante, cinquante, soixante) for the decimal zone. The vigesimal zone uses soixante-dix (70), quatre-vingts (80), and quatre-vingt-dix (90) as anchors, adding teens to form numbers like 75 (soixante-quinze) and 93 (quatre-vingt-treize).
For prices, use the formula: [number] euro(s) [number] centimes. Remember that French writes decimals with a comma instead of a period (€14,50). Key phrases for shopping include Combien coûte... ? and C'est combien ? Finally, watch your spelling: quatre-vingts keeps the -s only when nothing follows, and the same rule applies to cents in multiples of 100.