In mathematics and computer programming, the order of operations (or operator precedence) is a collection of rules that reflect conventions about which procedures to perform first in order to evaluate a given mathematical expression. For example, in mathematics and most computer languages, multiplication is granted a higher precedence than addition, and it has been this way since the introduction of modern algebraic notation. Thus, the expression 1 + 2 × 3 is interpreted to have the value 1 + (2 × 3) = 7, and not (1 + 2) × 3 = 9. When exponents were introduced in the 16th and 17th centuries, they were given precedence over both addition and multiplication, and could be placed only as a superscript to the right of their base. Thus 3 + 52 = 28 and 3 × 52 = 75. These conventions exist to eliminate notational ambiguity, while allowing notation to be as brief as possible. Where it is desired to override the precedence conventions, or even simply to emphasize them, parentheses can be used. For example, (2 + 3) × 4 = 20 forces addition to precede multiplication, while (3 + 5)2 = 64 forces addition to precede exponentiation. If multiple pairs of parentheses are required in a mathematical expression (such as in the case of nested parentheses), the parentheses may be replaced by brackets or braces to avoid confusion, as in [2 × (3 + 4)] − 5 = 9. (Wikipedia).
http://www.tabletclass.com explains the order of operations
From playlist Pre-Algebra
Order of Operations - The Basics
This video introduces the order of operations and provides several examples. http://mathispower4u.yolasite.com/
From playlist Properties of Exponents
Example 1: Evaluate An Expression Using The Order of Operations
This video provides an example of evaluating an expression using the order of operations. Complete video list: http://www.mathispower4u.yolasite.com
From playlist Order of Operations
Order of Operations With Integers: a(b-(-c))+d
This video explains how to use the order of operations to evaluate in expression involving integers. http://mathispower4u.com
From playlist Order of Operations
This video explains how to use the order of operations to simplify expressions. Video content created Jenifer Bohart, William Meacham, Judy Sutor, and Donna Guhse from SCC (CC-BY 4.0)
From playlist Order of Operations
From playlist Summer of Math Exposition Youtube Videos
Order of Operations Involving Fractions
This video shows how to simplify an expression involving fractions using the order of operations. http://mathispower4u.yolasite.com/
From playlist Order of Operations with Fractions
Order of operations 3 (with indices & roots)
Powered by https://www.numerise.com/ Order of operations with indices and roots
From playlist Indices, powers & roots
Schemes 46: Differential operators
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From playlist Algebraic geometry II: Schemes
Miroslav Englis: Analytic continuation of Toeplitz operators
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Analysis and its Applications
Crust of Rust: Atomics and Memory Ordering
In this episode of Crust of Rust, we go over Rust's atomic types, including the mysterious Ordering enum. In particular, we explore the std::sync::atomic module, and look at how its components can be used to implement concurrency primitives like mutexes. We also investigate some of the got
From playlist Crust of Rust
Zoom Talk & Problem Solving Session, Andrey Konyaev: Tuesday 15 February
SMRI -MATRIX Symposium: Nijenhuis Geometry and Integrable Systems Week 2 (MATRIX): Zoom Talk by Andrey Konyaev, followed by Problem Solving Session 15 February 2022 ---------------------------------------------------------------------------------------------------------------------- SMRI
From playlist MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable systems
Thomas Backdahl - Symmetry operators, conserved currents and energy momentum tensors
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From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
Normal Order in Quantum Field Theory | Wick Order | Fermions & Bosons
In this video, we will discuss the normal ordering of quantum operators for bosons as well as for fermions. In short, a set of quantum operators is in "normal order", or "Wick order", if all annihilation operators are to the right of all creation operators. Contents: 00:00 Definition 0
From playlist Quantum Mechanics, Quantum Field Theory
P Werner - Hybridization expansion based CTQMC
PROGRAM: STRONGLY CORRELATED SYSTEMS: FROM MODELS TO MATERIALS DATES: Monday 06 Jan, 2014 - Friday 17 Jan, 2014 VENUE: Department of Physics, IISc Campus, Bangalore PROGRAM LINK : http://www.icts.res.in/program/MTM2014 The realistic description of materials with strong electron-electro
From playlist Strongly correlated systems: From models to materials
Koen van den Dungen: Localisations and the Kasparov product in unbounded KK-theory
Talk by Koen van den Dungen in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on May 19, 2021
From playlist Global Noncommutative Geometry Seminar (Europe)
Dong An - Improved complexity estimation for Hamiltonian simulation with Trotter formula
Recorded 25 January 2022. Dong An of the University of Maryland presents "Improved complexity estimation for Hamiltonian simulation with Trotter formula" at IPAM's Quantum Numerical Linear Algebra Workshop. Abstract: Trotter formula is one of the most widely used methods for time-dependent
From playlist Quantum Numerical Linear Algebra - Jan. 24 - 27, 2022
2021 Blockly Developer Summit: Operator Precedence
A Google TechTalk, presented by Monica Kozbial, 2021/04/28-29 ABSTRACT: This talk was presented as part of the 2021 Blockly Summit. Ever been unsure about what operator precedence to use when writing generator code for custom blocks? In this talk, we'll talk about the role of operator pre
From playlist 2021 Blockly Developer Summit
How To Use The Order of Operations (PEMDAS) – Example Problem
TabletClass Math: https://tcmathacademy.com/ This video explains how to use the order of operations.
From playlist Pre-Algebra