How do you evaluate #8+ 6\cdot \frac { ( 4- 20) } { 2^ { 2} }#?

1 Answer
Jim G.
Jan 22, 2017

#-16#

Explanation:

When evaluating an expression with #color(blue)"mixed operations"# there is a particular order that must be followed.

Following the order as set out in the acronym PEMDAS

[Parenthesis(brackets) , Exponents(powers), Multiplication, Division, Addition, Subtraction ]

#rArr8+6xx(4-20)/2^2#

#=8+6xx(-16)/4larrcolor(red)"brackets/powers"#

When multiplication/division are in the calculation, as here, we evaluate from left to right.

#rArr8+(6xx(-16))/4#

#=8+(-96)/4larrcolor(red)" multiplication"#

#=8+(-24)larrcolor(red)" division"#

#=8-24=-16#

Related questions
Impact of this question
321 views around the world
You can reuse this answer
Creative Commons License