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Mathematics 18 Online
OpenStudy (anonymous):

what are absolute values?

OpenStudy (anonymous):

http://mathworld.wolfram.com/AbsoluteValue.html

OpenStudy (anonymous):

absolute value is the exact number away from 0 the number is

OpenStudy (anonymous):

for example -3 has the absolut value of 3

OpenStudy (anonymous):

http://www.purplemath.com/modules/absolute.htm

OpenStudy (anonymous):

and -2.54789 has the absolut value of 2.54789

OpenStudy (anonymous):

If you have a positive number written like this: /25/ would that be absolute value of -25?

OpenStudy (anonymous):

The absolute value is a function such that: \[|a| = \cases{\begin{array}{ccc} a & \text{if} & a \ge 0 \\ -a & \text{if} & a < 0\end{array}}\]

OpenStudy (anonymous):

no it would be 25

OpenStudy (anonymous):

|25| is 25 because \(25 \ge 0\)

OpenStudy (anonymous):

absolute value is always positive

OpenStudy (anonymous):

absolute value is the distance from 0 on a number line the easy way to remember absolute value is make the thing positive

OpenStudy (anonymous):

gotcha! Thanks you guys. Ya'll the best. :-)

OpenStudy (anonymous):

if the number is already positive then leave it

OpenStudy (anonymous):

no probs

OpenStudy (anonymous):

@ Jashua 13, Then what about if the number is already negative?

OpenStudy (anonymous):

make it positive

OpenStudy (anonymous):

If it's less than 0, change it's sign (multiply by -1). If it is greater or equal to 0, it stays the way it is.

OpenStudy (anonymous):

@polpak that is just a smarter and more complicated way to put it but yes

OpenStudy (anonymous):

gotcha! Thanks so much.

OpenStudy (anonymous):

no probs

OpenStudy (anonymous):

It's a definition you need though to find solutions to absolute values.

OpenStudy (anonymous):

Otherwise it's hard for some people to see why there's a negative solution to |x + 15| when 'the absolute value always makes stuff positive'

OpenStudy (anonymous):

Err |x+15| = 30 rather.

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