Algebra
# Floor and Ceiling Functions

What is $\left\{\sqrt{71}\right\}\times\left(\sqrt{71}+8\right)?$

**Note:** $\{x\}$ denotes the fractional part function.

What is $\{21.11\}?$

**Note:** $\{x\}$ denotes the fractional part function.

If $0<x<50,$ how many solutions are there to $\{x\}=0.9?$

**Note:** $\{x\}$ denotes the fractional part function.

What is $\{15.15\}+\{-15.15\}?$

**Note:** $\{x\}$ denotes the fractional part function.

What is $\left\{\frac{85}{6}\right\}?$

**Note:** $\{x\}$ denotes the fractional part function.