Find the union and intersection of $A=\{1,2,3,4,5\}$ and $B=\{2,7,5,10,100\}$.

Problem: 

Find the union and intersection of $A=\{1,2,3,4,5\}$ and $B=\{2,7,5,10,100\}$.

Answer: 

$A\cup B=\{1,2,3,4,5,7,10,100\}$ and $A\cap B=\{2,5\}$