2. (5 points) Calculate: $898+9898+99898+999898=$
【Analysis】At first glance, we can see that the numbers in this expression are close to integers. Using the rounding method, it can be transformed into: $(898+2-2)+$
$$
(9898+2-2)+(99898+2-2)+(999898+2-2)=(900-2)+(9900-2)+(99900
$$
$-2)+(999900-2)=900+9900+99900+999900-8$. Based on the characteristics, it is easy to think of converting these rounded numbers into a product form, thus discovering the application of the distributive law of multiplication, making the calculation simpler.

【Solution】898+9898+99898+999898
$$
\begin{array}{l}
=(900-2)+(9900-2)+(99900-2)+(999900-2) \\
=900+9900+99900+999900-8 \\
=9 \times 100+99 \times 100+999 \times 100+9999 \times 100-8 \\
=(9+99+999+9999) \times 100-8 \\
=(10+100+1000+10000-4) \times 100-8 \\
=(11110-4) \times 100-8 \\
=11110 \times 100-4 \times 100-8 \\
=1111000-400-8 \\
=1110600-8 \\
=1110592
\end{array}
$$