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・ Quotient by an equivalence relation
・ Quotient category
・ Quotient filter
・ Quotient graph
・ Quotient group
・ Quotient module
・ Quotient of subspace theorem
・ Quotient ring
・ Quotient rule
・ Quotient space (linear algebra)
・ Quotient space (topology)
・ Quotient stack
・ Quotient type
・ Quotientable automorphism
・ Quotients (EP)
Quotition and partition
・ Quotron
・ Quottoon Inlet
・ QuoVadis
・ Quow
・ Quoya
・ Quoya indica
・ Quoyness chambered cairn
・ Quoyula
・ Qupa
・ Qupa Phuju
・ Qupai
・ Qupap
・ QupZilla
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Quotition and partition : ウィキペディア英語版
Quotition and partition
In arithmetic, quotition is one of two ways of viewing fractions and division, the other being partition.
In quotition division one asks how many parts there are; in partition division one asks what the size of each part is.
For example, the expression
: 6 \div 2
can be construed in either of two ways:
* "How many parts of size 2 must be added to get 6?" (Quotition division)
: One can write
:: 6 = \underbrace__{\text{2 parts}}.
: Since the size of each part is 3, the conclusion is that
:: 6 \div 2 = 3.
It is a fact of elementary theoretical mathematics that the numerical answer is always the same either way: 6 ÷ 2 = 3. This is essentially equivalent to the commutativity of multiplication.
Division involves thinking about a whole in terms of its parts. One frequent division notion, a natural number of equal parts, is known as ''partition'' to educators.
The basic concept behind partition is ''sharing''. In sharing a whole entity becomes an integer number of equal parts.
What quotition concerns is explained by removing the word ''integer'' in the last sentence. Allow ''number'' to be ''any fraction'' and you have quotition instead of partition.
==See also==

* List of partition topics

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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