Simplify the given expression:
\[8 - \left[ {4\left( {\dfrac{1}{2}} \right)} \right] - \left[ {2\left( {\dfrac{1}{4}} \right)} \right]\]

Hint: The above question is for simplifying the given terms, here some numbers are present having mathematical operation in between, to solve these terms, we need to use the BODMAS rule, which says for solving such expressions, first bracket need to be solved, then “of” that is outside the bracket, then division, then multiplication, then addition, finally subtraction.
Formulae Used: To solve expressions with mathematical operations, BODMAS rule is use: BODMAS rule, says for solving expressions, first bracket need to be solved, then “of” that is outside the bracket, then division, then multiplication, then addition, finally subtraction needs to be done.

Complete step-by-step solution:
Here the given question is a mathematical expression in which we need to find the solution after simplifying the terms, here for simplifying the terms we need to solve by using the BODMAS rule, on solving we get:
\[
   \Rightarrow 8 - \left[ {4\left( {\dfrac{1}{2}} \right)} \right] - \left[ {2\left( {\dfrac{1}{4}} \right)} \right] \\
   \Rightarrow 8 - 2 - \dfrac{1}{2} \\
   \Rightarrow \dfrac{{16 - 4 - 1}}{2} \\
   \Rightarrow \dfrac{{11}}{2} \\
 \]
Here we get the required answer for the question, while simplifying the equation we keep in mind about the sign attached with the terms, and then solve accordingly.

Note: Here in the given question BODMAS rule needs t be applied, if here not applied then also the result would be same because there is only addition and subtraction operations, but if there would be multiplication or division operation then necessarily BODMAS needs to be applied.