Operations on numbers

Quotition and partition

In arithmetic, quotition and partition are two ways of viewing fractions and division. In quotition division one asks, "how many parts are there?"; While in partition division one asks, "what is the size of each part?". For example, the expression is and it can be constructed of either two ways: * "How many parts of the size of 2 must be added to get the amount of 6?" (Quotition division)One can writeSince it takes 3 parts, the conclusion is that * "What is the size of 2 equal parts whose sum is that of 6?". (Partition division)One can writeSince the size of each part is 3, the conclusion is that It is a fact of elementary theoretical mathematics that the numerical answer is always the same no matter which way you put it, 6 ÷ 2 = 3. This is essentially equivalent to the commutativity of multiplication in multiplication arithmetic. Division involves thinking about a whole in terms of its parts. One frequent division notation, is that a natural number of equal parts, is known as a partition to educators who teach it.The basic concept behind a partition is sharing. In sharing instead the whole entity becomes an integer number with equal parts.What quotition focuses on, is explained by removing the word integer in the last sentence. Allow the number to be any fraction and you may have a quotition instead of a partition. (Wikipedia).

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Division using the quotitive method

There are two ways to interpret division facts: partitive and quotitive. In this video we talk about quotitive...also know as measurement...in which the size of each group is known, but the number of groups is unknown. This is for our CK12 project: https://flexbooks.ck12.org/user:zghhymvj

From playlist All About Whole Numbers

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Partitive and Quotitive: A quick review of two methods of division

Partitive and Quotitive: A quick review of two methods of division This is part of our CK12 project: https://flexbooks.ck12.org/user:zghhymvja2vyqg1jb2uub3jn/cbook/math-grade-3-mcoe/section/3.3/primary/lesson/division-as-sharing-review

From playlist All About Whole Numbers

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Division using the partitive method

There are two ways to think of division: partitive and quotitive. This video shows how to visualize the partitive method also known as "fair sharing". We made this video for our CK12 project: https://flexbooks.ck12.org/user:zghhymvja2vyqg1jb2uub3jn/cbook/math-grade-3-mcoe/section/3.1/prim

From playlist All About Whole Numbers

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Quotient group example

Now that we know what a quotient group is, let's take a look at an example to cement our understanding of the concepts involved.

From playlist Abstract algebra

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Ex: Division Using Partial Quotient - Four Digit Divided by One Digit (With Remainder)

This video explains how to perform division using partial quotients. http://mathispower4u.com

From playlist Multiplying and Dividing Whole Numbers

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Ex: Division Using Partial Quotient - Two Digit Divided by One Digit (No Remainder)

This video explains how to perform division using partial quotients. http://mathispower4u.com

From playlist Multiplying and Dividing Whole Numbers

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Difference Quotient

What is a difference quotient? How to find a difference quotient. Deriving it from the rise over run formula.

From playlist Calculus

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Ex: Division Using Partial Quotient - Four Digit Divided by One Digit (No Remainder)

This video explains how to perform division using partial quotients. http://mathispower4u.com

From playlist Multiplying and Dividing Whole Numbers

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Ex: Division Using Partial Quotient - Two Digit Divided by One Digit (With Remainder)

This video explains how to perform division using partial quotients. http://mathispower4u.com

From playlist Multiplying and Dividing Whole Numbers

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Ex 1: Find the Quotient of a Mixed Number and Fraction using Fraction Strips

This video explains how to use fraction strips to determine the quotient of a mixed number and a fraction. (Whole Number Quotient) Site: http://mathispower4u.com

From playlist Multiplying and Dividing Fractions

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Visual Group Theory, Lecture 3.5: Quotient groups

Visual Group Theory, Lecture 3.5: Quotient groups Like how a direct product can be thought of as a way to "multiply" two groups, a quotient is a way to "divide" a group by one of its subgroups. We start by defining this in terms of collapsing Cayley diagrams, until we get a conjecture abo

From playlist Visual Group Theory

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Quotient groups

The idea of a quotient group follows easily from cosets and Lagrange's theorem. In this video, we start with a normal subgroup and develop the idea of a quotient group, by viewing each coset (together with the normal subgroup) as individual mathematical objects in a set. This set, under

From playlist Abstract algebra

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Introduction to Integer Partitions -- Number Theory 28

⭐Support the channel⭐ Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn 🟢 Discord: https://discord.gg/Ta6PTGtKBm ⭐my other channels⭐ Main Channel: https://www.youtube.

From playlist Number Theory

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Introduction to Integer Partitions -- Number Theory 28

Suggest a problem: https://forms.gle/ea7Pw7HcKePGB4my5 Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math Personal Website: http://www.michael-penn.net Randolp

From playlist Number Theory v2

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Pooneh Afsharijoo, Institut de Mathématiques de Jussieu - Paris Rive Gauche

November 18, Pooneh Afsharijoo, Institut de Mathématiques de Jussieu - Paris Rive Gauche Two new members of Rogers-Ramanujan identities

From playlist Fall 2021 Online Kolchin Seminar in Differential Algebra

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The hardest "What comes next?" (Euler's pentagonal formula)

Looks like I just cannot do short videos anymore. Another long one :) In fact, a new record in terms of the slideshow: 547 slides! This video is about one or my all-time favourite theorems in math(s): Euler's amazing pentagonal number theorem, it's unexpected connection to a prime numbe

From playlist Recent videos

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PGConf NYC 2021 - PostgreSQL sharding, state of the art by Julien Tachoires

PostgreSQL sharding, state of the art by Julien Tachoires In this session we will discuss about data sharding in PostgreSQL: * what data sharding means? * its history * a tour of the external extensions providing sharding * its current implementation in the core and the missing features t

From playlist PGConf NYC 2021

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Lecture 21: The Riemann Integral of a Continuous Function

MIT 18.100A Real Analysis, Fall 2020 Instructor: Dr. Casey Rodriguez View the complete course: http://ocw.mit.edu/courses/18-100a-real-analysis-fall-2020/ YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61O7HkcF7UImpM0cR_L2gSw We continue studying the Riemann integral,

From playlist MIT 18.100A Real Analysis, Fall 2020

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Ex: Division Using Partial Quotient - 4 Digit Divided by 2 Digit (With Remainder)

This video explains how to perform division using partial quotients. http://mathispower4u.com

From playlist Multiplying and Dividing Whole Numbers

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What Is Apache Hive? | Apache Hive Tutorial | Hive Tutorial For Beginners | Simplilearn

🔥Professional Certificate Program In Data Engineering: https://www.simplilearn.com/pgp-data-engineering-certification-training-course?utm_campaign=WhatIsApacheHiveFeb27-ynNFghq-zdE&utm_medium=DescriptionFF&utm_source=youtube This video on What is Hive will help you learn about one of the

From playlist Apache Hive Tutorial Videos [2022 Updated]

Related pages

Division (mathematics) | Multiplication | Ratio | Rational number | Arithmetic | List of partition topics