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Topic: Absolute value


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  Positive and negative numbers
The absolute value of a number is always a positive number (or zero).
The x value or x-coordinate tells how many steps left or right the point is from the point (0,0), just like on the number line (negative is left of the origin, positive is right of the origin).
The y value or y-coordinate tells how many steps up or down the point is from the point (0,0), (negative is down from the origin, positive is up from the origin).
www.mathleague.com /help/posandneg/posandneg.htm   (1681 words)

  
  Absolute value Summary
Absolute value is an operation in mathematics, written as bars on either side of the expression.
The absolute value is closely related to the notions of magnitude, distance, and norm in various mathematical and physical contexts.
From a geometric point of view, the absolute value of a real number is the distance along the real number line of that number from zero, and more generally the absolute value of the difference of two real numbers is the distance between them.
www.bookrags.com /Absolute_value   (1786 words)

  
  Absolute value - Wikipedia, the free encyclopedia
For example an absolute value is also defined for the complex numbers, the quaternions, ordered rings, fields and vector spaces.
The absolute value is closely related to the notions of magnitude, distance, and norm in various mathematical and physical contexts.
From a geometric point of view, the absolute value of a real number is the distance along the real number line of that number from zero, and more generally the absolute value of the difference of two real numbers is the distance between them.
en.wikipedia.org /wiki/Absolute_value   (1313 words)

  
 Absolute value (algebra) - Wikipedia, the free encyclopedia
In mathematics, an absolute value is a function which measures the size of elements in a field or integral domain.
Absolute values up to equivalence, or in other words, an equivalence class of absolute values, is called a place.
Ostrowski's theorem states that the nontrivial places of the rational numbers Q are the ordinary absolute value and the p-adic absolute value for each prime p.
en.wikipedia.org /wiki/Absolute_value_(algebra)   (692 words)

  
 PlanetMath: absolute value inequalities
Once this is accomplished, the absolute value must be dealt with: One statement should look similar to the previous one, the only difference being that the absolute value signs are dropped.
The other statement should also have the absolute value signs dropped, but the inequality needs reversed and the number (on the right) needs to be negated.
This is version 4 of absolute value inequalities, born on 2006-06-11, modified 2006-08-20.
planetmath.org /encyclopedia/AbsoluteValueInequalities.html   (190 words)

  
 PlanetMath: absolute value
Absolute value has a different meaning in the case of complex numbers: for a complex number
However, in general they are not literally valuations, because valuations are required to be real valued.
This is version 4 of absolute value, born on 2001-10-21, modified 2003-01-19.
planetmath.org /encyclopedia/AbsoluteValue.html   (119 words)

  
 absolute value - a definition from Whatis.com
Absolute value is a term used in mathematics to indicate the distance of a point or number from the origin (zero point) of a number line or coordinate system.
The symbol for absolute value is a pair of vertical lines, one on either side of the quantity whose absolute value is to be determined.
The absolute value of a vector in n dimensions is defined in terms of the coordinates of its termination point, in Cartesian n-space, assuming its origin coincides with the point where all coordinate values are zero.
whatis.techtarget.com /definition/0,,sid9_gci817829,00.html   (292 words)

  
 Introduction to Absolute Value   (Site not responding. Last check: 2007-11-05)
Sometimes absolute value of a number is described as the distance from the origin to the number on a number line.
The description of absolute value as a distance and the formal definition are both describing exactly what most people think of for absolute value.
Since the number inside the absolute value symbol is greater than or equal to zero, we use the number as it is so the answer is 0.
www.algebralab.org /lessons/lesson.aspx?file=Algebra_AbsoluteValueIntro.xml   (233 words)

  
 Math Forum - Ask Dr. Math   (Site not responding. Last check: 2007-11-05)
Absolute Value Equation with Diagonal Axis of Symmetry
Date: 01/10/2002 at 09:11:01 From: Doctor Peterson Subject: Re: Absolute Value Equation with Diagonal Axis of Symmetry Hi, That symmetry implies that swapping the roles of x and y in the equation will leave it unchanged.
Date: 01/10/2002 at 13:33:18 From: Doctor Peterson Subject: Re: Absolute Value Equation with Diagonal Axis of Symmetry Hi, You didn't say you wanted to actually rotate y=x; I took your question to mean you wanted an equation, involving the absolute value, that had the desired symmetry.
www.mathforum.org /library/drmath/view/54517.html   (597 words)

  
 Solving Absolute Value Inequalities   (Site not responding. Last check: 2007-11-05)
When solving absolute value inequalities, you are going to combine techniques used for solving absolute value equations as well as linear inequalities.
This means that whatever is in the absolute value symbols needs to be less than 4.
In this case, we want the absolute value of x to be larger than 4, so obviously any number larger than 4 will work (5, 6, 7, etc.).
www.algebralab.org /lessons/lesson.aspx?file=Algebra_AbsoluteValueInequalities.xml   (311 words)

  
 Teaching Models: Grade 6
The absolute value of a number is its distance from the number 0 on a number line.
When adding integers with the same sign, the sum is equal to the sum of the absolute values of each addend and has the sign common to the addends.
A rule for adding integers with opposite signs is to subtract the lesser absolute value from the greater absolute value and then use the sign of the integer with the greater absolute value.
www.eduplace.com /math/hmm/models/overview/6_11_2.html   (524 words)

  
 MathSteps: Grade 7: Absolute Value: What Is It?
Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies.
The absolute value of a number is never negative.
The symbol for absolute value is two straight lines surrounding the number or expression for which you wish to indicate absolute value.
www.eduplace.com /math/mathsteps/7/b   (327 words)

  
 Absolute Value Fund, LLLP   (Site not responding. Last check: 2007-11-05)
Absolute Value Fund, LLLP (the Fund) is an onshore hedge fund which utilizes a top-down value approach to investing.
On the first level, the word “value” is included in the fund’s name for emphasis as the fund is indeed a value fund.
On the second level, the mathematical definition of absolute value is the distance of a number to the origin on the real number line.
www.absolutevaluefund.com /fund.htm   (1857 words)

  
 Absolute Value Inequalities
The absolute value of a number measures its distance to the origin on the real number line.
Since 5 is at 5 units distance from the origin 0, the absolute value of 5 is 5, 5=5
The standard definition for the absolute value function is given by:
www.sosmath.com /algebra/inequalities/ineq03/ineq03.html   (382 words)

  
 Real Number System - Absolute Values
The absolute value of a real number is the distance between its corresponding point on the number line and the number 0.
The absolute value of the real number a is denoted by a.
From the diagram, it is clear that the absolute value of nonnegative numbers is the number itself, while the absolute value of negative integers is the negative of the number.
library.thinkquest.org /10030/2absolu.htm   (77 words)

  
 Absolute Value
Absolute value has many uses, but you probably won't see anything interesting for a few more classes yet.
This is why absolute value is never negative; absolute value only asks "how far?", not "in which direction?".
Note that, whenever we took the absolute value of a number, if it was positive to start with, we left the sign (an understood "+") alone, but if it was negative to start with, we changed the sign (the "minus" sign "—" was turned into an understood "+").
www.purplemath.com /modules/absolute.htm   (560 words)

  
 PinkMonkey.com Algebra Study Guide 7.4 Absolute value
is called the absolute value of x and it is the distance between x and 0.
Many equations and inequalities involving absolute values can be solved using this geometric aspect of absolute value.
Isolate the absolute value one side of the equation.
www.pinkmonkey.com /studyguides/subjects/algebra/chap7/a0707401.asp   (159 words)

  
 Absolute Value Functions   (Site not responding. Last check: 2007-11-05)
Absolute value functions are explored, using an applet, by comparing the graphs of f(x) and h(x) = f(x).
Keep the value of a equal to zero, select non zero values for b to obtain a linear function.
Hint: use the definition of the absolute value functions and reflection of a graph on the x-axis.
www.analyzemath.com /Absolute_Value_Function/Absolute_Value_Function.html   (348 words)

  
 Math B Absolute Value Inequalities
Solving an absolute value inequality problem is similar to solving an absolute value equation.
absolute value is always positive (or zero), so, of course, it cannot be less than a negative number.
Note that the absolute value is isolated before the solution begins.
regentsprep.org /Regents/mathb/7D8/absinequal.htm   (301 words)

  
 College Algebra Tutorial on Absolute Value Equations
Using the definition of absolute value, there will be two equations that we will need to set up to get rid of the absolute value because there are two places on the number line that are 7 units away from zero: 7 and -7.
Using the definition of absolute value, there will be two equations that we will need to set up to get rid of the absolute value because there are two places on the number line that are 3 units away from zero: 3 and -3.
Using the definition of absolute value, there will be only one equation that we will need to set up to get rid of the absolute value, because there is only one place on the number line that is 0 units away from zero: 0.
www.wtamu.edu /academic/anns/mps/math/mathlab/col_algebra/col_alg_tut21_abseq.htm   (1236 words)

  
 Numbers - Signed Integers - In Depth   (Site not responding. Last check: 2007-11-05)
Every number on the number line also has an absolute value, which simply means how far that number is from zero.
For example, the absolute value of "negative 10" is ten, and the absolute value of "positive 10" is also 10.
because the absolute value of a negative number is its opposite.
www.math.com /school/subject1/lessons/S1U1L10DP.html   (377 words)

  
 How to find the absolute value of a complex number: Find the distance from 0 on the complex plane by...
The absolute value of a real number is its distance from 0 on the number line.
A complex number's absolute value is also a measure of its distance from zero.
However, instead of measuring this distance on the number line, a complex number's absolute value is measured from zero on the complex number plane.
www.mathwarehouse.com /algebra/complex-number/absolute-value-complex-number.php   (190 words)

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