Elementary arithmetic | Articles containing proofs | Mathematical notation | Multiplication
Multiplication (often denoted by the cross symbol ×, by the mid-line ⋅, by juxtaposition, or, on computers, by an asterisk *) is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product. The multiplication of whole numbers may be thought of as repeated addition; that is, the multiplication of two numbers is equivalent to adding as many copies of one of them, the multiplicand, as the quantity of the other one, the multiplier. Both numbers can be referred to as factors. For example, 4 multiplied by 3, often written as and spoken as "3 times 4", can be calculated by adding 3 copies of 4 together: Here, 3 (the multiplier) and 4 (the multiplicand) are the factors, and 12 is the product. One of the main of multiplication is the commutative property, which states in this case that adding 3 copies of 4 gives the same result as adding 4 copies of 3: Thus the designation of multiplier and multiplicand does not affect the result of the multiplication. Systematic generalizations of this basic definition define the multiplication of integers (including negative numbers), rational numbers (fractions), and real numbers. Multiplication can also be visualized as counting objects arranged in a rectangle (for whole numbers) or as finding the area of a rectangle whose sides have some given lengths. The area of a rectangle does not depend on which side is measured first—a consequence of the commutative property. The product of two measurements is a new type of measurement. For example, multiplying the lengths of the two sides of a rectangle gives its area. Such a product is the subject of dimensional analysis. The inverse operation of multiplication is division. For example, since 4 multiplied by 3 equals 12, 12 divided by 3 equals 4. Indeed, multiplication by 3, followed by division by 3, yields the original number. The division of a number other than 0 by itself equals 1. Multiplication is also defined for other types of numbers, such as complex numbers, and for more abstract constructs, like matrices. For some of these more abstract constructs, the order in which the operands are multiplied together matters. A listing of the many different kinds of products used in mathematics is given in Product (mathematics). (Wikipedia).
From playlist Transformations of the Number Line
Solving Equations Using Multiplication or Division
This video is about Solving Equations with Multiplication and Division
From playlist Equations and Inequalities
From playlist Transformations of the Number Line
From playlist Transformations of the Number Line
Complex Multiplication: -2+i then -2-i
From playlist Complex Multiplication
From playlist Transformations of the Number Line
Matrix multiplication. How to multiply matrices. In this video I show you how we define the multiplication of matrices. As you will see, it is not so simply as multiplying two numbers. Matrices can only be multiplied when the number of columns in the first matrix is similar to the numb
From playlist Introducing linear algebra
14B Complex Number Multiplication
The multiplication of scalar numbers.
From playlist Linear Algebra
Algebraic Proof - A-level Mathematics
In this video I explain how to solve the following problems: 1. Prove that the square of any natural number is either a multiple of 3 or 1 more than a multiple of 3. [4 marks] 2. Given that a and b are natural numbers, prove that a^2+b^2 is only a multiple of 3 if both a and b ar
From playlist A-level Mathematics Revision
What Is The LCM? (How to Find The Lowest Common Multiple)
Learn how to find the LCM - Lowest Common Multiple. For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand math instruction, with fully explained practice problems and printable worksheets, review notes and quizz
From playlist GED Prep Videos
Definition of a Ring and Examples of Rings
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Ring and Examples of Rings - Definition of a Ring. - Definition of a commutative ring and a ring with identity. - Examples of Rings include: Z, Q, R, C under regular addition and multiplication The Ring of all n x
From playlist Abstract Algebra
Matt Parker is squaring primes. The Great Courses Plus free trial: http://ow.ly/JE3G30hIvoE (episode sponsor) More links & stuff in full description below ↓↓↓ More Matt Parker on Numberphile: http://bit.ly/Matt_Videos Matt's book on Amazon... US: http://bit.ly/Matt_4D_US UK: http://bit.l
From playlist Matt Parker (standupmaths) on Numberphile
Blank Editor - Project Euler Problem 1 "Fizz Buzz"
Blank Editor is a show for new programmers who have trouble applying the programming concepts they've learned into real programs. This episode solves problem 1 from the Project Euler site: https://projecteuler.net/problem=1 Github repo with source code: https://github.com/asweigart/blank
From playlist Blank Editor
Let’s Find The LCM (Lowest Common Multiple)….Step-by-Step….
TabletClass Math: https://tcmathacademy.com/ Math help with the LCM (Lowest Common Multiple). For more math help to include math lessons, practice problems and math tutorials check out my full math help program at https://tcmathacademy.com/ Math Notes: Pre-Algebra Notes: https://t
From playlist GED Prep Videos
Monte Carlo Simulation and Python 11 - Using Monte Carlo to find best multiple
Monte Carlo Simulation with Python Playlist: http://www.youtube.com/watch?v=9M_KPXwnrlE&feature=share&list=PLQVvvaa0QuDdhOnp-FnVStDsALpYk2hk0 In this video, we employ our monte carlo simulator to help us locate the best possible multiple to use with our martingale strategy, curious if the
From playlist Monte Carlo Simulation with Python
Powered by https://www.numerise.com/ Factors and multiples using Eminem www.hegartymaths.com http://www.hegartymaths.com/
From playlist Basic Arithmetic & Numeracy
8, 20 what is the LCM? (Lowest Common Multiple)
How to find the LCM (lowest common multiple). For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand math instruction, with fully explained practice problems and printable worksheets, review notes and quizzes.
From playlist GED Prep Videos
Exponent Rules -- Advanced Problems (TTP Video 63)
https://www.patreon.com/ProfessorLeonard Using all the exponent rules together on some more advanced problems.
From playlist To The Point Math (TTP Videos)
From playlist Transformations of the Number Line