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# General Fact check on Absloute value

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Director
Joined: 07 Jun 2004
Posts: 610

Kudos [?]: 921 [0], given: 22

Location: PA
General Fact check on Absloute value [#permalink]

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11 Dec 2010, 03:59
hi

if you have | x | = A

then A is 100% positive

but if x is 0 then what will A be ?

my Q is what is | 0 | ?
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Kudos [?]: 921 [0], given: 22

Math Expert
Joined: 02 Sep 2009
Posts: 41886

Kudos [?]: 128772 [0], given: 12182

Re: General Fact check on Absloute value [#permalink]

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11 Dec 2010, 04:17
rxs0005 wrote:
hi

if you have | x | = A

then A is 100% positive

but if x is 0 then what will A be ?

my Q is what is | 0 | ?

The red part is not correct.

Absolute value is always non-negative $$|some \ expression|\geq{0}$$, or $$|x|\geq{0}$$ (note: not positive but non-negative, meaning that absolute value can equal to zero). Absolute value of x, |x| is a distance between point x on a number line and zero, now if x is zero itself then the distance between zero and zero is 0 or in another words: distance can not be negative but it can equal to zero, so absolute value is always non-negative.

So, $$|0|=0$$.

Hope it's clear.
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Kudos [?]: 128772 [0], given: 12182

Re: General Fact check on Absloute value   [#permalink] 11 Dec 2010, 04:17
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