remainder
Let an agent explain the remainder as the result of subtraction, distinguish it from the division remainder, compute differences and margins, and support arithmetic learning.
Bundle → Layer → Finding → Questions Filled
4 bundles · 8 layers · 8 findings · 16 questions
Understand What the remainder is.
Definition
Definition and terms.
Definition
Definition.
- What are the minuend, subtrahend and remainder in subtraction, and how does the remainder check the subtraction? definition
- Is the subtraction remainder or the division remainder meant? boundary
Properties
Properties.
Properties
Properties.
- How does the remainder behave with negative numbers, and how does subtraction relate to addition? definition
- Which entry fits subtraction generally? action
Compute Computing remainders.
Calculate
Calculation.
Calculate
Calculation.
- What is the remainder when this number is subtracted from that, and how can it be checked? action
- Which mental methods help? action
Applied
Applied remainders.
Applied
Applied.
- How are height differences in surveying and margins such as solvency margins computed as remainders? definition
- Which entry fits solvency regulation? action
Teach Teaching subtraction.
Methods
Teaching methods.
Methods
Methods.
- How is subtraction taught, including borrowing and complementary methods? action
- Which misconceptions arise? provenance
Language
Terminology.
Language
Terminology.
- How do the terms remainder and difference differ in usage across curricula and languages? provenance
- Which references are standard? provenance
Learn History.
History
History of subtraction.
History
History.
- How did subtraction methods and terminology develop historically? provenance
- Which entry fits history of arithmetic? action
Computing
Subtraction in computing.
Computing
Computing.
- How is subtraction performed in computers, and what are overflow and underflow? definition
- Which entry fits computer arithmetic? action
Classifiers Filled
- Family
- Thing Registry
- Category
- Cross-cutting context
- Entry kind
- noun.quantity
- Plane
- XCT
- Domain
- XCT.QTY
- Facets: substance
- abstract
- Facets: origin
- conceptual
- Facets: agency
- inert
- Facets: mobility
- not-applicable
- Facets: scale
- not-applicable
- Facets: affordances
- observable
- Other names and narrower kinds
- difference, denivelation, solvency margin
What it is Filled
The number left after subtracting one number from another, that is the difference that when added to the subtrahend gives the minuend, and in related uses the amount remaining after a deduction, such as a height difference in surveying or a solvency margin in finance; this sense of remainder in subtraction is distinct from the remainder left after division, though both express what is left over.
Why it exists Filled
Let an agent explain the remainder as the result of subtraction, distinguish it from the division remainder, compute differences and margins, and support arithmetic learning.
Distinguishing features Filled
- Subtraction result
- Difference
- Applied margins
- Elementary arithmetic
What robots and AI may and may not do Filled
Must not
- Confuse the division remainder with the difference.
- Report a difference with the sign reversed.
- Mark a learner wrong over a terminology difference.
Only with a human decision
- Using computed differences in survey or financial records.
May
- Compute differences, labelling minuend and subtrahend.
- Distinguish the subtraction remainder from the division remainder.
Moral aspects Filled
- Small arithmetic errors in records can cost people money.
Who is affected
- Learners
- Surveyors
Owners Filled
Steward
Nobody owns the concept; it is held in common by mathematics.
Links to other meta-models Filled
parent
- oewn-13603216-n - registry parent class
related
- number - category
- difference - the general relation
- output - quantities compared by difference
- unit cost - margins over cost
What else AI and robots need to interact with it Filled
Identity and identifiers required Filled
- Vercy registry: vr.tr.remainder-2
- Open English WordNet: oewn-13751346-n
Direct properties not applicable Not applicable
Not applicable
Plane XCT: no invented physical properties.
Recognition optional Filled
- Minuend minus subtrahend
- What is left after taking away
- The division remainder is what is left after dividing
- Not physical; a number.
Capabilities and actions required Filled
- explain the concept
- distinguish from division remainder
- compute differences and margins
- support learning
Hazards and failure modes required Filled
- Confusing subtraction and division remainders
- Sign errors
- Confusing minuend and subtrahend
Standards and interfaces required Filled
- Arithmetic conventions and terminology
- Financial regulation defining solvency margins
Context of use required Filled
- The result of subtraction.
- arithmetic difference
- height differences and denivelations
- margins such as solvency margin
- remaining amounts after deductions
Sources Filled
- Open English WordNet 2024, synset oewn-13751346-n - sense and gloss of the concept
- Wiktionary: remainder - word senses and usage
Open questions
- Should the division remainder be linked?
- How should surveying uses be linked?
- How should financial margins be linked?
Machine files
Provenance
thing registry research (pass 2) · unreviewed
Built from: models/things/publications/thing-remainder-2/spec.json