How do you evaluate #abs(-8+11-4)+abs(4+7)#?

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Answer 1 · 2018-03-10T04:08:31

See a solution process below:

First, evaluate the expressions within the absolute value function:

#abs(-8 + 11 - 4) + abs(4 + 7) =>#

#abs(3 - 4) + abs(11) =>#

#abs(-1) + abs(11)#

The absolute value function takes any term and transforms it to its non-negative form

We can now apply the absolute value function and evaluate the expression as:

#1 + 11 => 12#

Answer 2 · 2018-03-10T04:11:22

12

Note: Absolute values essentially means to remove any negative sign within the signs - or to think of all numbers as positives within the signs.

So,

#|-8+11-4| + |4+7|#

#=|-12+11|+|4+7| #

#=|-1|+|11|#

#=1+11#

#=12#