SECTION 1
Historical Context & Motivation
Numbers are among the oldest linguistic structures in any language, and German is no exception. The Germanic number system traces its roots to Proto-Germanic and ultimately to Proto-Indo-European, sharing deep cognates with English, Dutch, and the Scandinavian languages. Understanding how German numbers evolved helps explain some of the quirks that trip up modern learners—such as the infamous reversed order of tens and ones (e.g., einundzwanzig for "twenty-one"), a feature that Middle English once shared but eventually abandoned. Meanwhile, currency and measurement conventions have been shaped by centuries of trade, standardization efforts, and European integration, culminating in Germany's adoption of the euro in 2002.
~500 CE • Old High German Numerals
1524 • Standardization via Luther's Bible
1871 • German Mark Introduced
1875 • Metric System Adopted
2002 • Euro Replaces the D-Mark
For college-level learners of German, the practical question this lesson addresses is straightforward yet far-reaching: how do you accurately produce and comprehend numbers, prices, and quantities in the contexts where they matter most—shopping, dining, traveling, and academic or professional settings? Mastering these structures is not merely a matter of memorizing vocabulary; it requires understanding word-formation rules, syntactic patterns for pricing, and the conventions that distinguish German numerical communication from English.
SECTION 2
Core Principles & Definitions
Before diving into the details, it helps to organize the domain of numbers, prices, and quantities around a set of foundational principles. Each of these principles governs a distinct area of linguistic behavior, from how compound numbers are formed to how decimal values and units of measurement interact syntactically with German nouns and verbs.
Ones-Before-Tens Ordering
Comma vs. Period Convention
Currency Syntax
Quantity + Noun Agreement
Ordinal Number Formation
KEY TAKEAWAY
SECTION 3
Visual Explanation: The German Number System
The following diagram maps out the structure of German cardinal numbers from 0 to 1.000.000, illustrating how each range of numbers is constructed. Pay particular attention to the color-coded zones: the base numbers (0–12) must be memorized individually, the teens (13–19) follow a unit + zehn pattern, and the compound numbers (21–99) employ the distinctive ones-before-tens structure with und as a connector.
Several irregular forms deserve special attention. The numbers sechzehn (16) and siebzehn (17) drop the final consonant of their base forms (sechs → sech-, sieben → sieb-), and this same truncation recurs in sechzig (60) and siebzig (70). Likewise, dreißig (30) uses ß rather than the expected -zig suffix. These irregularities are historical relics, but they are high-frequency forms and must simply be committed to memory.
SECTION 4
How German Prices & Decimal Expressions Work
Expressing prices in German involves more than translating numbers—it requires understanding a distinct set of formatting rules and spoken conventions. In written German, the euro sign (€) typically follows the amount (e.g., 12,99 €), which is the reverse of the English convention ($12.99). The decimal separator is a comma, and the thousands separator—when used—is a period. In spoken German, prices are read as the euro amount followed by the cent amount, often connected by the word Euro and sometimes omitting Cent entirely.
Price Expression Patterns
WRITTEN PRICE FORMAT
Betrag = amount in euros; the comma separates euros from cents; the € symbol follows the number with a space.
SPOKEN PRICE PATTERN
In casual speech, the word 'Cent' is often dropped. For round amounts, say 'fünf Euro' without adding 'null Cent.' For amounts under one euro, say 'fünfzig Cent.'
Asking About Prices
| German | English | Context / Register |
|---|---|---|
| Was kostet das? | What does that cost? | Singular item, neutral register |
| Was kosten die Tomaten? | What do the tomatoes cost? | Plural item, market / grocery |
| Wie viel macht das (zusammen)? | How much does that come to (total)? | Asking for a total, informal |
| Wie teuer ist das? | How expensive is that? | Slightly more direct / colloquial |
Common German phrases for inquiring about prices
Comma vs. Period — A Common Source of Confusion
SECTION 5
Quantities, Units & Measure Nouns
Quantities in German involve a syntactic pattern that differs notably from English. When a measure noun (a word indicating a unit of measurement, container, or portion) is used with a numeral, German follows a distinctive set of agreement rules. Masculine and neuter measure nouns remain in their singular form even after plural numerals—hence drei Glas Wein (three glasses of wine), not *drei Gläser Wein in measure contexts. Feminine measure nouns, by contrast, do take plural forms: zwei Tassen Kaffee (two cups of coffee). This asymmetry reflects a broader morphological pattern in German and is essential for sounding natural in everyday transactions.
| Measure Noun | Gender | After Numerals > 1 | Example |
|---|---|---|---|
| das Kilo(gramm) | neuter | Kilo (singular) | drei Kilo Äpfel |
| das Glas | neuter | Glas (singular) | zwei Glas Wein |
| der Liter | masculine | Liter (singular) | fünf Liter Benzin |
| die Tasse | feminine | Tassen (plural) | zwei Tassen Tee |
| die Flasche | feminine | Flaschen (plural) | vier Flaschen Wasser |
| die Scheibe | feminine | Scheiben (plural) | sechs Scheiben Käse |
Common German measure nouns and their behavior after numerals
SECTION 6
Worked Example: Ordering at a German Café
Let us walk through a realistic scenario: you are at a café in Berlin and need to order food and drinks, ask about prices, and understand the total. This worked example integrates number formation, price expressions, and quantity structures into a coherent conversational exchange.
Ordering and Paying at a Café
- 1
Step 1 — Ordering Quantities
You want two cups of coffee and three pieces of cake. Apply the quantity pattern: numeral + measure noun + item. For Tasse (feminine), use the plural Tassen. For Stück (neuter), keep it singular.Ich hätte gern zwei Tassen Kaffee und drei Stück Kuchen, bitte. - 2
Step 2 — Asking the Price
Before ordering, you want to know the cost. Use the standard pricing question. Since 'Kuchen' is singular in the generic sense, use kostet (third person singular).Was kostet ein Stück Kuchen? — The waiter answers: "Ein Stück kostet drei Euro fünfzig." (3,50 €) - 3
Step 3 — Understanding the Price Response
The waiter says the coffee costs "zwei Euro achtzig" per cup. Decode this: zwei = 2, Euro = €, achtzig = 80 (Cent). Written: 2,80 €.Coffee = 2,80 € per cup → 2 cups = 5,60 €. Cake = 3,50 € per piece → 3 pieces = 10,50 €. - 4
Step 4 — Asking for the Total
You are ready to pay and ask for the total. Use the colloquial phrasing for requesting the bill."Wie viel macht das zusammen?" — Waiter: "Das macht sechzehn Euro zehn." (16,10 €) - 5
Step 5 — Paying and Confirming
You hand over a 20-euro note. You can confirm the amount verbally and indicate that the change includes a tip (common in German cafés). The number 20 is zwanzig, and you can round up to include a tip by saying a target amount."Achtzehn Euro, bitte." (You round up from 16,10 € to 18,00 €, leaving a 1,90 € tip. The waiter returns 2,00 € change from the 20 € note.)
SECTION 7
German vs. English: Common Pitfalls & Contrasts
While German and English share Indo-European roots for their number systems, the divergences are significant enough to cause persistent errors for anglophone learners. The following table highlights the most common areas of interference and contrast, giving you a quick-reference resource for self-correction.
| Feature | German | English |
|---|---|---|
| Two-digit order | Ones before tens: fünfundvierzig (5 + 40) | Tens before ones: forty-five (40 + 5) |
| Decimal separator | Comma: 3,50 € | Period: $3.50 |
| Thousands separator | Period: 1.000 | Comma: 1,000 |
| Currency symbol position | After: 5,99 € | Before: $5.99 |
| Measure noun plurals | M/N stay singular: drei Glas | All pluralize: three glasses |
| "Of" in quantities | No preposition: ein Kilo Mehl | "of" often used: a kilo of flour |
| Ordinal marking | Period after digit: 3. (dritte) | Suffix: 3rd (third) |
Key structural differences between German and English number, price, and quantity expressions
KEY TAKEAWAY
SECTION 8
Beyond the Basics: Advanced Number Contexts
Once you have internalized cardinal numbers, prices, and basic quantities, several advanced contexts await. These include ordinal numbers (used for dates, floors, and rankings), year expressions, and decimal and percentage expressions in academic or professional German. The following table outlines how these advanced forms relate to the foundational system you have already learned.
| Topic | Basic Level (This Lesson) | Advanced Level (Next Steps) |
|---|---|---|
| Cardinals | 0–1.000.000; compound formation; spoken prices | Indefinite numerals (einige, mehrere, manche); approximations (ungefähr, etwa, rund) |
| Ordinals | Formation with -te/-ste; written with period (der 5.) | Full declension of ordinals as adjectives (am fünften Mai, den dritten Stock) |
| Years | Reading years as hundreds (1999 = neunzehnhundertneunundneunzig) | Preposition usage (im Jahre 2024); historical dates with ordinals |
| Percentages | Basic reading: 15% = fünfzehn Prozent | Percentage in context (um 3% gestiegen / gefallen); fractional expressions (ein Drittel, drei Viertel) |
| Quantities | Measure nouns with numerals; metric units | Partitive constructions; genitive quantities (ein Stück des Kuchens vs. ein Stück Kuchen) |
Progression from foundational to advanced number usage in German
As you move into these advanced areas, you will find that the foundational patterns covered in this lesson—compound number formation, the comma/period convention, and measure-noun agreement—remain the structural bedrock. Ordinal declension, for instance, simply layers standard adjective endings onto the cardinal stems you already know. The transition from conversational to academic German number usage is largely one of precision and register rather than entirely new systems.
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
This lesson covered the essential structures for using numbers, prices, and quantities in conversational German. The ones-before-tens ordering (e.g., fünfunddreißig = 35) is the defining structural feature of German two-digit numbers and must be internalized as a listening and production habit. German uses a comma as the decimal separator and a period as the thousands separator—the exact inverse of English conventions. Prices are spoken as the euro amount followed by the cent amount (e.g., "zwölf Euro neunundneunzig" = 12,99 €), and the € symbol follows the number in written form.
For quantities, the key rule is that masculine and neuter measure nouns remain singular after numerals (zwei Kilo, drei Glas), while feminine measure nouns pluralize normally (zwei Tassen, drei Flaschen). German omits any preposition equivalent to English "of" between measure nouns and items. Irregular forms such as sechzehn, siebzehn, dreißig require memorization, and ordinal numbers are formed with the suffixes -te (1–19) or -ste (20+). With these tools, you are equipped to navigate shopping, dining, travel, and everyday numerical communication in German with accuracy and confidence.