Which list of values is ordered from least to greatest? A. |–5|, 0, 3, –|–4| B. –7, –|–3|, 0, |–4| C. –|6|, |–3|, 1, 4 D. |–12|, –|–5|, 2, |–8|

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Which list of values is ordered from least to greatest? A. |–5|, 0, 3, –|–4| B. –7, –|–3|, 0, |–4| C. –|6|, |–3|, 1, 4 D. |–12|, –|–5|, 2, |–8|

Mathematics
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this is hard
Absolute value of a negative number, will give you the same positive number. For example |-4|=4 (because distance on the number line, from -4 to 0 is same as from 4 to 0, -- 4 units)

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yes i know but this is confuseing
Re-write each option and simplify all the terms that have |...|
What do you think the answer is?
like option D for example: \(\large\color{black}{ \displaystyle |–12|,~~~ –|–5|,~~~~ 2, ~~~~|–8| }\) \(\large\color{black}{ \displaystyle 12,~~~ –5,~~~~ 2, ~~~~8 }\) this order is NOT right, because the term |-12| should have been at the very end on the right, not as it is now.
ok
its not a or b
Why not B?
its not in write order
\(|\)-3\(|\)=3 thus, -\(|\)-3\(|\)=-3
and \(|\)-4\(|\)=4
|dw:1440440577381:dw|
its got a line but its not in write order it would have came after 0
wait, tell me what is |-3|
3
Yes, so \(\color{red}{-}\)|-3| when you multiply |-3| times -1, is -3. because -|-3| = (-1)•|-3|=(-1)•3=-3
was that clear just now, or is it confusing?
i mean the answer is c right?
if it was just |-3| then the order is wrong, because |-3| is ater 0. BUT, -|-3| is same as -3, and it is before zero (but after -7), so it is right
oh i get it
No, not C, because |-3|=3 so you would have -6, 3, 1, 4
see why it's B?
yes
And just to make sure, what is -|-1| equivalent to?
can you give me a medal so i can get money?
thx
yw

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