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

1 Answer
Nov 15, 2016

#1#

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"#