what are absolute values?
absolute value is the exact number away from 0 the number is
for example -3 has the absolut value of 3
and -2.54789 has the absolut value of 2.54789
If you have a positive number written like this: /25/ would that be absolute value of -25?
The absolute value is a function such that: \[|a| = \cases{\begin{array}{ccc} a & \text{if} & a \ge 0 \\ -a & \text{if} & a < 0\end{array}}\]
no it would be 25
|25| is 25 because \(25 \ge 0\)
absolute value is always positive
absolute value is the distance from 0 on a number line the easy way to remember absolute value is make the thing positive
gotcha! Thanks you guys. Ya'll the best. :-)
if the number is already positive then leave it
no probs
@ Jashua 13, Then what about if the number is already negative?
make it positive
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.
@polpak that is just a smarter and more complicated way to put it but yes
gotcha! Thanks so much.
no probs
It's a definition you need though to find solutions to absolute values.
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'
Err |x+15| = 30 rather.
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