How do you simplify #abs{+45} - abs{-96} - abs{-5} + abs{-36} - abs{+100}#?

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Answer 1 · 2016-07-30T15:01:40

#-120#

Note that: #|x| = x and |-x| = x#

#abs{+45} - abs{-96} - abs{-5} + abs{-36} - abs{+100}#

=#45 - 96 - 5 + 36 - 100#

=#-120#

Answer 2 · 2016-07-30T15:01:59

#-120#

The double | | is called absolute value. What is inside the | | is treated as a positive value.

So #|+45|-|-96|-|-5|+|-36|-|+100|#

becomes:

#45-96-5+36-100#

Which is: #-120#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
As an add on; suppose we had #y=|x|#

In this case #y# is always positive and we have as a graph:
Tony B