Math Help - need help on "integral part" [x]

1. need help on "integral part" [x]

Using definition 3.3 on NZM
For real x, the symbol [x] denotes the greatest integer less than or equal to x.
Why is [-15/2]=-8.

2. $-\frac{15}{2} = -7.5$

What's the largest integer that's smaller than $-7.5$ ?

3. Originally Posted by o_O
$-\frac{15}{2} = -7.5$

What's the largest integer that's smaller than $-7.5$ ?
-8,
so [-3/2]=-2, since $-\frac{3}{2} = -1.5$ and the the largest integer that is smaller -1.5 is -2?

4. Exactly.