What is the value of the following expression?: #17 + 3*|4-8|-2#

1 Answer
May 5, 2016

The value of this expression is #27#

Explanation:

#17+3*|4-8|-2=17+3*|-4|-2=17+3*4-2=17+12-2=29-2=27#

The calculations begins with #4-8#. This expression is in absolute value signs, which work like brackets. Expressions in absolute value must be calculated first.

The next step is to calculate the absolute value: if the expression is positive the value is unchanged, if the expression is negative, then the absolute value is an opposite number.

Next step is calculating of multiplication #3*4#

Final step is calculating sum #17+12#, and next the substraction #29-2#.

The final answer is #27#