How do you evaluate #| | 7- 12| - | 10||#?
1 Answer
Apr 4, 2017
Explanation:
The
#color(blue)"absolute value"# is always positive since it is a measure of how far a number is from zero and distance is always positive.
#rArr|-4|=|4|=4# since both 4 and - 4 are 4 units from zero.Evaluate the ' inner ' absolute values before evaluating the outer.
#| |color(red)(7-12)|-|color(red)(10)| |#
#=| |color(magenta)(-5)|-10|#
#=|5-10|#
#=|-5|#
#=5#