Fractions (mathematics) | Division (mathematics) | Mathematical fallacies | Infinity | Mathematical analysis | Computer arithmetic
In mathematics, division by zero is division where the divisor (denominator) is zero. Such a division can be formally expressed as , where a is the dividend (numerator). In ordinary arithmetic, the expression has no meaning, as there is no number that, when multiplied by 0, gives a (assuming ); thus, division by zero is undefined. Since any number multiplied by zero is zero, the expression is also undefined; when it is the form of a limit, it is an indeterminate form. Historically, one of the earliest recorded references to the mathematical impossibility of assigning a value to is contained in Anglo-Irish philosopher George Berkeley's criticism of infinitesimal calculus in 1734 in The Analyst ("ghosts of departed quantities"). There are mathematical structures in which is defined for some a such as in the Riemann sphere (a model of the extended complex plane) and the Projectively extended real line; however, such structures do not satisfy every ordinary rule of arithmetic (the field axioms). In computing, a program error may result from an attempt to divide by zero. Depending on the programming environment and the type of number (e.g., floating point, integer) being divided by zero, it may generate positive or negative infinity by the IEEE 754 floating-point standard, generate an exception, generate an error message, cause the program to terminate, result in a special not-a-number value, or crash. (Wikipedia).
Beyond S1E1 - What is zero divided by zero?
In this video we explore what happens when you try and divide zero by zero in the usual number system, and why this doesn't work. We also take a look at some other systems where you can define division by zero. Remember that your teacher is probably taking about the usual number system,
From playlist Beyond
Algebra 1 2.09d - Rules for Division
Further discussion of rules for division. This video discusses dividing zero by a number, dividing a number by zero (not allowed!), and also the fact that division is not commutative and is not associative. Examples are included. From chapter 2 of the Algebra 1 course by Derek Owens.
From playlist Algebra 1 Chapter 2 (Selected Videos)
Multiplying and Dividing Involving Zero
This video explains the results when performing multiplication and division involving zero. Complete video library at www.mathispower4u.com
From playlist Multiplying and Dividing Integers
Prealgebra 1.6d - Division and Zero
A brief review of basic division. From the Prealgebra course by Derek Owens. This course is available online at http://www.LucidEducation.com.
From playlist Prealgebra Chapter 1 (Complete chapter)
Overview of the Multiplication/Division Index Laws
via YouTube Capture
From playlist Further Indices
How to apply long division to divide multi digit whole numbers
👉 In this video series you will learn how to divide integers. We will discuss basic division and then move to division using long division. Integers will be single digit as well as multi-digit problems. When a number the divisor does not evenly divide into another number the dividend the
From playlist Integer Operations
What is the multiplicity of a zero?
👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
Examples: Division by a Decimal with a Repeating Quotient
This video provides two examples of division by a decimal in which the quotient is a repeating decimal. Complete video list: http://www.mathispower4u.com
From playlist Multiplying and Dividing with Decimals
Solving a Polynomial Using Factoring by Grouping
👉 Learn how to find all the zeros of a polynomial by grouping. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the values of x for which the value of the polynomial
From playlist Zeros of a Polynomial by Factoring
Four Step Recovery Programme for Division by Zero Deniers
Division by zero has been possible since 1957. LINKS: Transmathematica Channel https://youtube.com/channel/UC2ro5bMjox_KhU-UbUvx7jQ Rehab Playlist https://youtube.com/playlist?list=PL2qvIMkhqXu036a0M_TLAryIqjiRO6OKs History of division by zero https://doi.org/10.36285/tm.37 Suppes htt
From playlist Summer of Math Exposition Youtube Videos
This video covers the divisibility rules for 2,3,4,5,6,8,9,and 10. http://mathispower4u.yolasite.com/
From playlist Factors, Prime Factors, and Least Common Factors
Synthetic Division vs Long Division
In this video we will explore how to the differences between long division and synthetic division between two polynomials ⭐️ 3 Easy Synthetic Division Problems - https://youtu.be/WlIVBPo7G1o ✅ New videos on Polynomials - https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqVIxbhpVGNJAhpue94
From playlist Polynomials in Algebra 2
Irrational Zeros of Polynomials | Polynomials | Pre-Calculus
In this lesson we will discover how to determine the irrational zeros of a polynomial equation by factoring, long division and synthetic division. We will apply the remainder and factor theorem as well as learn to write the equation of a polynomial given the zeros. I make short, to-the-po
From playlist Pc - In the classroom
An application of congruences: divisibility tests
In this video we apply congruences to prove divisibility tests in the integers. The content of this video corresponds to parts of Section 4.6 of my book "Number Theory and Geometry" which you can find here: https://alozano.clas.uconn.edu/number-theory-and-geometry/
From playlist Number Theory and Geometry
Even more DFAs: Theory of Computation (Feb 3 2021)
One more examples of DFAs, plus the formal description. This is a recording of a live class for Math 3342, Theory of Computation, an undergraduate course for math & computer science majors at Fairfield University, Spring 2021. Class website: http://cstaecker.fairfield.edu/~cstaecker/cou
From playlist Math 3342 (Theory of Computation) Spring 2021
Overview of dividing polynomials
👉 Learn how to divide polynomials using the long division algorithm. To be able to solve a polynomial, we need to be able to get the factors and hence the zeros. To get the factors, we use the rational zeros theorem to get one of the zeros and hence one of the factors and then divide the o
From playlist Divide Polynomials using Long Division with missing terms
Synthetic Division and Long Division of Polynomials (Precalculus - College Algebra 32)
Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com How to perform Synthetic Division and Long Division of Polynomials and how this will be used in conjunction with the Rational Zeros Theorem.
From playlist Precalculus - College Algebra/Trigonometry
To Pass Your Class You Must Know How to Divide These Polynomials
Lets cover the most popular types of problems you should expect to see regarding synthetic division with polynomials. These problems you will want to master to make sure you are set up for success to pass your class. ⭐️ You Have To Know How To Divide These Polynomials - https://youtu.be/W
From playlist Sythentic Division Problems YOU MUST KNOW
What are zeros of a polynomial
👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
MISTAKES with Synthetic Division
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From playlist Polynomials in Algebra 2