G3.3 For arbitrary real number $x$, define $[x]$ to be the largest integer less than or equal to $x$. For instance, $[2]=2$ and $[3.4]=3$. Find the value of $\left[1.008^{8} \times 100\right]$.
$$
1.008^{8} \times 100=(1+0.008)^{8} \times 100=100\left(1+8 \times 0.008+28 \times 0.008^{2}+\ldots\right) \approx 106.4
$$

The integral value $=106$