Division (mathematics) | Real numbers

Quotient

In arithmetic, a quotient (from Latin: quotiens 'how many times', pronounced /ˈkwoʊʃənt/) is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division (in the case of Euclidean division), or as a fraction or a ratio (in the case of proper division). For example, when dividing 20 (the dividend) by 3 (the divisor), the quotient is "6 with a remainder of 2" in the Euclidean division sense, and in the proper division sense. In the second sense, a quotient is simply the ratio of a dividend to its divisor. (Wikipedia).

Quotient
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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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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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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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Simplify an expression by applying quotient rule of exponents

👉 Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the difference of the exponents of the term in the numerat

From playlist Simplify Using the Rules of Exponents | Quotient Rule

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PreCalculus | Finding the difference quotient: Example 3

We present a few examples of calculating the difference quotient. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist PreCalculus

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Learn the basics for simplifying an expression using the rules of exponents

👉 Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the difference of the exponents of the term in the numerat

From playlist Simplify Using the Rules of Exponents | Quotient Rule

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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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Simplifying a monomial using the rules of exponents

👉 Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the difference of the exponents of the term in the numerat

From playlist Simplify Using the Rules of Exponents | Quotient Rule

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Difference Quotient - What is it? (PreCalculus)

How to find the Difference Quotient. We discuss how the difference quotient represents a formula for the slope between points but as the distance between the two points decreases you get the instant rate of change or the slope of the tangent line. 0:04 What is the Difference Quotient 0:11

From playlist Difference Quotient & Derivatives

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What is a Manifold? Lesson 14: Quotient Spaces

I AM GOING TO REDO THIS VIDEO. I have made some annotations here and annotations are not visible on mobile devices. STAY TUNED. This is a long lesson about an important topological concept: quotient spaces.

From playlist What is a Manifold?

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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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Prayagdeep Parija: Random Quotients of Hyperbolic Groups and Property (T)

Prayagdeep Parija, University of Wisconsin Milwaukee Title: Random Quotients of Hyperbolic Groups and Property (T) What does a typical quotient of a group look like? Gromov had looked at density model of quotients of free groups. The density parameter d measures the rate of exponential gro

From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

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Partial Quotients - Dividing Whole Numbers

The video explains how to use the method of partial quotients to divide whole numbers. This is an alternative method to performing long division. Library: http://www.mathispower4u.com Search: http://www.mathispower4u.wordpress.com

From playlist Multiplication and Division of Whole Numbers

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Visual Group Theory, Lecture 4.5: The isomorphism theorems

Visual Group Theory, Lecture 4.5: The isomorphism theorems There are four central results in group theory that are collectively known at the isomorphism theorems. We introduced the first of these a few lectures back, under the name of the "fundamental homomorphism theorem." In this lectur

From playlist Visual Group Theory

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Division of Fractions Using Common Denominators and Models

This video explains how to determine the quotient of fractions using a common denominator.

From playlist Multiplication and Division of Mixed Numbers

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Profinite rigidity and flexibility for compact 3-manifold groups -Reid

Geometric Structures on 3-manifolds Topic:Profinite rigidity and flexibility for compact 3-manifold groups Speaker: Alan Reid Date: Tuesday, February 2 This talk will discuss the question: To what extent are the fundamental groups of compact 3-manifolds determined (amongst the fundamental

From playlist Mathematics

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What is a Manifold? Lesson 15: The cylinder as a quotient space

What is a Manifold? Lesson 15: The cylinder as a quotient space This lesson covers several different ideas on the way to showing how the cylinder can be described as a quotient space. Lot's of ideas in this lecture! ... too many probably....

From playlist What is a Manifold?

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Rahul PANDHARIPANDE - Stable quotients and relations in the tautological ring

The topic concerns relations among the kappa classes in the tautological ring of the moduli space of genus g curves. After a discussion of classical constructions in Wick form, we derive an explicit set of relations obtained from the virtual geometry of the moduli space of stable quotients

From playlist École d’été 2011 - Modules de courbes et théorie de Gromov-Witten

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Ex 2: The Difference Quotient (Quadratic Function)

This video provides an example of how to find the difference quotient for a quadratic function. Site: http://mathispower4u.com

From playlist Determining Function Values

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Profinite rigidity – Alan Reid – ICM2018

Topology Invited Lecture 6.7 Profinite rigidity Alan Reid Abstract: We survey recent work on profinite rigidity of residually finite groups. © International Congress of Mathematicians – ICM www.icm2018.org     Os direitos sobre todo o material deste canal pertencem ao Instituto de Mat

From playlist Topology

Related pages

Quotient ring | Linear subspace | Vector space | Quotient set | Group (mathematics) | Quotient type | Product (mathematics) | Quotient space (topology) | Rational number | Quotient graph | Quotient space (linear algebra) | Quotient module | Quotient of a formal language | Quotient group | Division (mathematics) | Euclidean division | Quotient object | Equivalence class | Natural number | Set (mathematics) | Integer | Equivalence relation | Quotient category | Ratio | Irrational number | Quotition and partition | Arithmetic | Remainder