Wikipedia
definition of absolute value : As can be seen from the above definition, the absolute value of a is always either positive or zero, but never negative. The same notation is used with sets ..... More from Wikipedia
Absolute Maximum and Absolute Minimum Value of a Function
Let f (x) be a real valued function with its domain D. (i) f(x) is said to have absolute maximum value at x = a if f(a) f(x) for all x D. (ii) f(x) is said to have absolute minimum value at x = a if f(a) f(x) for all x D. The followin..
Let f (x) be a real valued function with its domain D. (i) f(x) is said to have absolute maximum value at x = a if f(a) f(x) for all x D. (ii) f(x) is said to have absolute minimum value at x = a if f(a) f(x) for all x D. The followin..Absolute error
Absolute error = true value - measured value..
www.mindbites.com In this lesson, you will learn how to solve an equation that has two absolute values. When beginning any equation with an absolute value, remember that, by definition, the absolute value of a number has both a positive and negative answer. You will also go over how to work an equation with a fraction inside an absolute value. For a refresher on equations with one absolute value, see this lesson: www.mindbites.comTaught by Professor Edward Burger, this lesson was selected ...
You're Graham.
Question : From the text:
Absolute value of a real number is its magnitidue, or the distance between the origin and point representing the real number on the real number line.
Definition of Absolute Value: If a is a real number, then the absolute value of a is: |a| = a, if a is >= 0 and |a| = -a, if a < 0.
Notice in this definition that the absolute value of a real number is never negative. For instance, if a = -5, the |-5| = -(-5). The aboslute value of a real number is either positive or zero. Mor..
Answer : Awesome! Preparation for class! You are to be commended... That said, think of it this way: a is a point on the positive x axis.The distance between the origin, and a is |a|=a. Now if you measure |a| on the other side of the origin, you get to -a. The distance between the origin and -a is |-a|. In this case, |-a| = -(-a) or a. Maybe it will help if you think of -a as (-1)(a). -(-a)=(-1)(-a)=(-1)(-1)(a) =(1)(a)=a Another approach. If you start at 0 and go one unit in the positive direction, you will find yourself at x=1 The distance you traveled is 1. You are at x=1. so the |1|=1. In this case "a" is a positive value. So |a|=a That is the absolute value of a positive value is that value. Now, if yo start at 0 and go one unit in the negative direction you find yourself at x= -1. The distance you traveled is 1, but this time you are at x= -1. |-1|=1 = -(-1). Tat is, the absolute value of a negative value is a positive value, or a "negative negative value." It's this way,.... More from Yahoo Answers
Answer : Awesome! Preparation for class! You are to be commended... That said, think of it this way: a is a point on the positive x axis.The distance between the origin, and a is |a|=a. Now if you measure |a| on the other side of the origin, you get to -a. The distance between the origin and -a is |-a|. In this case, |-a| = -(-a) or a. Maybe it will help if you think of -a as (-1)(a). -(-a)=(-1)(-a)=(-1)(-1)(a) =(1)(a)=a Another approach. If you start at 0 and go one unit in the positive direction, you will find yourself at x=1 The distance you traveled is 1. You are at x=1. so the |1|=1. In this case "a" is a positive value. So |a|=a That is the absolute value of a positive value is that value. Now, if yo start at 0 and go one unit in the negative direction you find yourself at x= -1. The distance you traveled is 1, but this time you are at x= -1. |-1|=1 = -(-1). Tat is, the absolute value of a negative value is a positive value, or a "negative negative value." It's this way,.... More from Yahoo Answers
Question : The definition of an absolute value is...
|x| = x if x >= 0; |x| = - x if x < 0.
The |x| = -x if x < 0 confuses me. How may an absolute value equal a negative? Please help me clarify. I'm well aware that absolute values can't be negative. The definition I gave is universally known, every math text books has it! DidacticRogue: Thanks a bunch! That clarifies my concern.
Answer : The negative of a negative is a positive, so ... if x < 0 then x is negative therefore its absolute value is the negation of a negative number for example, x = -1 |-1| = -(-1) = 1 Hope this helps! ... and some goober apparently disagrees ... imagine that!.. More from Yahoo Answers
Answer : The negative of a negative is a positive, so ... if x < 0 then x is negative therefore its absolute value is the negation of a negative number for example, x = -1 |-1| = -(-1) = 1 Hope this helps! ... and some goober apparently disagrees ... imagine that!.. More from Yahoo Answers
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