In algebra, an absolute value (also called a valuation, magnitude, or norm, although "norm" usually refers to a specific kind of absolute value on a field) is a function which measures the "size" of elements in a field or integral domain. More precisely, if D is an integral domain, then an absolute value is any mapping |x| from D to the real numbers R satisfying: It follows from these axioms that |1| = 1 and |-1| = 1. Furthermore, for every positive integer n, |n| = |1 + 1 + ... + 1 (n times)| = |−1 − 1 − ... − 1 (n times)| ≤ n. The classical "absolute value" is one in which, for example, |2|=2, but many other functions fulfill the requirements stated above, for instance the square root of the classical absolute value (but not the square thereof). An absolute value induces a metric (and thus a topology) by (Wikipedia).
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From playlist Solving Absolute Value Equations
From playlist Pre-Algebra/Introductory Algebra
Math 101 091117 Introduction to Analysis 05 Absolute Value
Absolute value: definition. Notion of distance. Properties of the absolute value: proofs. Triangle inequality
From playlist Course 6: Introduction to Analysis (Fall 2017)
In this problem, we solve an absolute value problem with a variable.
From playlist Algebra 2 Chapter 1 Take Home Test
INTALG 4 3: Absolute Value Equalities
We describe absolute value for the real numbers and give a procedure for solving equations containing absolute value terms. Many examples are given.
From playlist COLLEGE ALGEBRA (SPRING 2020)
Watch more videos on http://www.brightstorm.com/math/algebra
From playlist Algebra I
Solve |x + 7|=10 (Step by Step Solution)
How to solve an absolute value equation. 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. All co
From playlist GED Prep Videos
Understand how to solve an absolute value equation
How to solve an absolute value equation and a review of the definition of absolute value. 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 printa
From playlist GED Prep Videos
|– 8| = ? What is the absolute value?
How to find the absolute value of a number. 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. Al
From playlist GED Prep Videos
| - 5 | = What’s Really ABSOLUTE VALUE?
TabletClass Math: https://tcmathacademy.com/ Math help with absolute value. 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://tabletclass-math.c
From playlist GED Prep Videos
How do you solve this Type of Equation? Let’s learn the steps…
Learn how to solve an absolute value equation. 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. A
From playlist GED Prep Videos
Learn Absolute Value - a critical skill for Pre-Algebra students. 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
From playlist GED Prep Videos
8|2x + 3|=16, let’s solve this type of algebra equation
How to solve an absolute value equation - practice problem. 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
From playlist GED Prep Videos
Absolute Value Inequalities – How to Solve
TabletClass Math: https://tcmathacademy.com/ How to solve absolute value inequalities. 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://ta
From playlist GED Prep Videos
y=|x - 5| + 7 Absolute Value Equation Let’s Graph Step-by-Step….
TabletClass Math: https://tcmathacademy.com/ Algebra help with graphing an absolute value equation to include finding the vertex. 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
From playlist GED Prep Videos
Brainstorming: The Meaning of Absolute Value
In this video, we learn the definition of absolute value and see a few examples. College Algebra homepage: http://webspace.ship.edu/jehamb/calg.html
From playlist College Algebra
Solve the Absolute Value Equation – 3 Steps
TabletClass Math: https://tcmathacademy.com/ How to solve absolute value equations. 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://table
From playlist GED Prep Videos