what does absolute value mean?

- sasogeek

what does absolute value mean?

- chestercat

See more answers at brainly.com

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- anonymous

mathematical description or layman description?

- anonymous

|x| --> x if x>0, or -x if x<0

- sasogeek

wha...? :s i'm lost

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- anonymous

lol that's the mathematical description.
in layman terms, if x is positive, like 4, then the absolute value of it is 4.
if x is negative, like -5, then the absolute value of it is 5.

- sasogeek

how do u determine it?

- anonymous

Do you have an example?

- sasogeek

find the absolute value of x

- anonymous

I liked @Shadowys 's description.

- anonymous

His mathematical description was a great answer for your question.

- sasogeek

i know if i have |x|
the solution is
|x|=x
that i know.
my question is, how do you arrive at that conclusion... proof?

- anonymous

it's the definition. the proof is the first line i gave you. the mathematical description.

- anonymous

It's only x if x is positive. It is -x if x is negative. It's one of those things that is so simple that it becomes tricky again. Say we are looking for |x| and x is -4... the answer is 4... but from the perspective of the original x, the answer is -(-4)=4.

- sasogeek

google: "The magnitude of a real number without regard to its sign"
i don't see that in ur description/definition/proof.... there's nothing related to magnitudes :/

- anonymous

I've never seen a more rigorous proof than the piece-wise description given by @Shadowys . The literal meaning is: distance from the origin.

- anonymous

i.e. that's the layman terms. also, i.e. that's in terms of vectors.
|-4|-->4
|-2|-->2
|-x|-->x, for x>0

- sasogeek

i don't think it's enough to settle with |x|=x, |-z|=z
...

- anonymous

yes. it is not.

- sasogeek

it doesn't make sense

- anonymous

|x| --> x if x>0, or -x if x<0
this is the definition. in fact, it's called the absolute value function. that means it must be like that. MUST

- sasogeek

why?

- anonymous

there is no why in this. it is defined that way. the reason you're learning this because this particular function has importance in geometrical analysis.

- sasogeek

let's just say there is a why. there's a reason for everything, if not i could just make my own math rules and say everyone MUST follow that rule.... unless u don't know the answer to the why in this... :/

- sasogeek

- anonymous

yes. you can make your own rules, if they have an importance in something and if they conform to the original rules of mathematics.

- sasogeek

well i'm still not satisfied with the given answer.

- Zarkon

if x<0 then x is negative...so -x is positive
thus |x|=-x

- sasogeek

@Shadowys would you say that |y+1|=y+1?

- Zarkon

only if \(y+1\ge0\)

- Zarkon

if \(y+1<0\) then \(|y+1|=-(y+1)\)

- sasogeek

what's with the magnitude mentioned in the definition by google?

- sasogeek

magnitude is distance... right?

- anonymous

From a linear geometric perspective, yes. If we are talking about pressure, for example, not really.

- Zarkon

the absolute value of a number is its distanceto the origin

- sasogeek

okay now this makes more sense than the earlier explanation/definition... thanks :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.