10. The notation $[a]$ represents the greatest integer not exceeding $a$, for example $\left[\frac{17}{5}\right]=3,[0.888 \cdots]=0$, then $\left[\frac{1}{100}\right]+\left[\frac{2}{100}\right]+\left[\frac{3}{100}\right]+\cdots+\left[\frac{865}{100}\right]=$.
【Analysis】 $\left[\frac{1}{100}\right]$ to $\left[\frac{99}{100}\right]$ these 99 numbers all have a value of 0
$\left[\frac{100}{100}\right]$ to $\left[\frac{199}{100}\right]$ these 100 numbers all have a value of 1
$\left[\frac{200}{100}\right]$ to $\left[\frac{299}{100}\right]$ these 100 numbers all have a value of 2
$\left[\frac{300}{100}\right]$ to $\left[\frac{399}{100}\right]$ these 100 numbers all have a value of 3
$\left[\frac{400}{100}\right]$ to $\left[\frac{499}{100}\right]$ these 100 numbers all have a value of 4
$\left[\frac{500}{100}\right]$ to $\left[\frac{599}{100}\right]$ these 100 numbers all have a value of 5
$\left[\frac{600}{100}\right]$ to $\left[\frac{699}{100}\right]$ these 100 numbers all have a value of 6
$\left[\frac{700}{100}\right]$ to $\left[\frac{799}{100}\right]$ these 100 numbers all have a value of 7
$\left[\frac{800}{100}\right]$ to $\left[\frac{865}{100}\right]$ these 66 numbers all have a value of 8
Therefore, the original expression $=100 \times(1+2+3+4+5+6+7)+66 \times 8=3328$