Question

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

Answer 1

`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"`