ArticleslgStudy

mathematics

Partitive case

Partitive case is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Partitive case rather than just read about it. In short: The partitive case (abbreviated ptv, prtv, or more ambiguously part) is a grammatical case which denotes "partialness", "without result", or "without specific identity". It is also used in contexts where a subgroup is selected from a larger group, or with numbers.

Key takeaways

  • Partitive case belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Partitive case to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Partitive case from memory before moving on to harder problems.

Reference excerpt

The partitive case (abbreviated ptv, prtv, or more ambiguously part) is a grammatical case which denotes "partialness", "without result", or "without specific identity". It is also used in contexts where a subgroup is selected from a larger group, or with numbers.

Finnic languages In Finnic languages, such as Finnish and Estonian, this case is often used to express unknown identities and irresultative actions. For example, in Finnish, it is found in the following circumstances, with the characteristic ending of -a or -ta:

After numbers, in singular: "kolme taloa" → "three houses" (cf. plural, where both are used, e.g. sadat kirjat "the hundreds of books", sata kirjaa "hundred books" as an irresultative object.) For atelic actions (possibly incomplete) and ongoing processes: "luen kirjaa" → "I'm reading a book" Compare with telic actions in accusative case: "luen kirjan" → "I will read the (entire) book" With atelic verbs, particularly those indicating emotions: "rakastan tätä taloa" → "I love this house" For tentative inquiries: "saanko lainata kirjaa?" → "can I borrow the book?" For uncountables: "lasissa on maitoa" → "there is (some) milk in the glass" Compositions: "pala juustoa" → "a piece of cheese" In places where English would use "some" or "any": "onko teillä kirjoja?" → "do you have any books?" Compare with nominative case: "onko teillä kirjat?" → "do you have the (specific) books?" For negative statements: "talossa ei ole kirjaa" → "in the house, [there] is not [a] book" Comparisons Without "kuin" ("than"): "saamista parempaa on antaminen" → "what is better than receiving is giving" The more common form "antaminen on parempaa kuin saaminen" "giving is better than receiving" places only the comparative adverb in the partitive. Where not mentioned, the accusative case would be ungrammatical. For example, the partitive must always be used after singular numerals. As an example of the irresultative meaning of the partitive, ammuin karhun (accusative) means "I shot the bear (dead)", whereas ammuin karhua (partitive) means "I shot (at) the bear" without specifying if it was even hit. Notice that Finnish has no native future tense, so that the partitive provides an important reference to the present as opposed to the future. Thus luen kirjaa means "I am reading a/the book" whereas luen kirjan means "I will read a/the book". Thus "luen" can mean "I read", "I am reading" or "I will read" depending on the case form of the word that follows. The partitive form kirjaa indicates incompleted action and hence the meaning of the verb form is present tense. The accusative form kirjan indicates completed action when used with the past tense verb but indicates planned future action when used with a verb in the present tense. Hence luen kirjan means "I will read the book". The case with an unspecified identity is onko teillä kirjoja, which uses the partitive, because it refers to unspecified books, as contrasted to nominative onko teillä (ne) kirjat?, which means "do you have (those) books?" The partitive case comes from the older ablative case. This meaning is preserved e.g. in kotoa (from home), takaa (from behind), where it means "from". A Western Finnish dialectal phenomenon seen in some dialects is the assimilation of the final -a into a preceding vowel, thus making the chroneme the partitive marker. For example, suurii → suuria "some big --". In Estonian, the system is generally similar. In Estonian grammatical tradition, the term "accusative" is not used, since like in Finnish, the total object form coincides with the genitive in the singular, and the nominative in the plural. In many Estonian words, the difference between the full and partial object cases is only in vowel or consonant quantity (long vs overlong), which is not marked in writing, except for stop consonants. Thus, the distinction between a total and partial object may be apparent in speech but not in writing. For example, the sentence Linn ehitab kooli would mean "The city will build a/the school" when pronounced with a long vowel "o" in kooli "school (genitive case)", and "The city is building a/the school" with an overlong "o" (partitive case). For many verbs in Estonian, an additional adverb is almost always added when a completed action is meant - for example, ma söön leiba "I'm eating bread", vs ma söön leiva ära "I will eat the (whole) bread". Since Estonian, unlike Finnish, has words where the genitive and partitive singular are identical even in pronunciation, this can provide disambiguation in those cases - e.g ma söön kala "I'm eating fish", vs ma söön kala ära "I will eat (all of) the fish".

Sámi Of the Sámi languages, Inari and Skolt Sámi still have a partitive, although it is slowly disappearing and its function is being taken over by other cases.

Skolt Sámi The partitive is used only in the singular and can always be replaced by the genitive. The partitive marker is -d.

It appears after numbers larger than 6: kääuʹc čâustõkkâd: eight lassos This can be replaced with kääʹuc čâustõõǥǥ. It is also used with certain postpositions: kuäʹtted vuâstta: against a kota This can be replaced with kuäʹđ vuâstta. It can be used with the comparative to express that which is being compared: Kåʹlled pueʹrab : better than gold This would nowadays more than likely be replaced by pueʹrab ko kåʹll

Dutch In Dutch there are many adjectives ending in -s, which is called the partitive case. This case is derived from the genitive case in the older declension system and is used after words that signify quantity, such as the Dutch veel, weinig or niets (respectively meaning many/much/a lot, few/little or nothing):

Dat is niets nieuws. That's nothing new.

Men verwacht er veel goeds van. People expect a lot from it.

The partitive case can also be used as a comparative:

Heb je niets beters? Don't you have anything better?

If an adjective already ends in an alveolar fricative (like s in "suit"), the "-s" drops:

Geef mij maar iets fris. Give me something fresh.

Dat is iets fantastisch! That is something fantastic!

… excerpt ends here. Continue reading the full article.

Worked examples

Example 1 — a first encounter with Partitive case

Start with the simplest possible case. Write down what Partitive case claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Partitive case before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Partitive case ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Partitive case

In research
Partitive case appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Partitive case in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Partitive case is common in secondary-school and first-year university syllabi. It links to neighbouring topics Grammatical cases, Grammatical number, so understanding it makes those chapters shorter.
In everyday life
Look for Partitive case outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Partitive case” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Partitive case in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Partitive case means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Partitive case out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Partitive case in simple terms?

The partitive case (abbreviated ptv, prtv, or more ambiguously part) is a grammatical case which denotes "partialness", "without result", or "without specific identity". It is also used in contexts where a subgroup is selected from a larger group, or with numbers.

Why does Partitive case matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Partitive case?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Partitive case.

Tags

  • Grammatical cases
  • Grammatical number

Keep exploring