98 For $i=1,2, \cdots, n$, we have $\left|x_{i}\right|<1$, and assume $\left|x_{1}\right|+\left|x_{2}\right|+\cdots+\left|x_{n}\right|=19+$ $\left|x_{1}+x_{2}+\cdots+x_{n}\right|$, then the minimum value of the integer $n$ is $\qquad$
9820. Since $\left|x_{i}\right|<1, i=1,2, \cdots, n$, we have
$$
19=\sum_{i=1}^{n}\left|x_{i}\right|-\left|\sum_{i=1}^{n} x_{i}\right| \leqslant \sum_{i=1}^{n}\left|x_{i}\right|<n \text {, }
$$

When $n=20$,
$$
x_{i}=\left\{\begin{array}{ll}
0.95 & i \text { is odd } \\
-0.95 & i \text { is even, }
\end{array}\right.
$$

satisfies the condition. Therefore, the minimum value of $n$ is 20.