# How do you simplify #4\div [ ( 4+ - 2) \times 2]#?

##### 1 Answer

Nov 15, 2016

#### Explanation:

To evaluate an expression with

#color(blue)"mixed operations"# there is a particular order that must be followed.Follow the order as set out in the acronym PEMDAS [Parenthesis (brackets), Exponents (powers), Multiplication, Division, Addition and Subtraction.]

Since there are 2 sets of brackets in this expression evaluate the inner before evaluating the outer.

#rArr(4+ -2)=4-2=2larrcolor(red)"inner bracket"# expression is now

#4÷[2xx2]#

#rArr4÷4larrcolor(red)" outer bracket"#

#4÷4=1larrcolor(red)" division"#