2. What is the value of $(2019-(2000-(10-9)))-(2000-(10-(9-2019)))$ ?
A 4040
B 40
C -400
D -4002
$\mathrm{E}-4020$
Solution
B
We evaluate the expression by first evaluating the innermost brackets and then working outwards.
$$
\begin{array}{l}
(2019-(2000-(10-9)))-(2000-(10-(9-2019))) \\
=(2019-(2000-1))-(2000-(10-(-2010))) \\
=(2019-(2000-1))-(2000-(10+2010)) \\
=(2019-1999)-(2000-2020) \\
=(2019-1999)-(-20) \\
=20+20 \\
=40 .
\end{array}
$$