Question: 3 men walk into a hotel. The room they want it is 30 dollars. They each pay ten. Once they get up to their room the manager realizes that the room was only supposed to be 25 dollars. He sends the bellboy up with 5 1 dollar bills. On the way to their room, the belly boy thinks "I can't split five 1s between five guys". So, he pockets 2 of the dollars and gives each of the men a dollar. Now, the men have only paid 9 dollars each. 9X3=27 and the bellboy pocketed 2 dollars which makes 29... Where is the other dollar?
Answer: There is no lost dollar: the order of operation was not followed. The bellboy still had 5 dollars to bring to the men.
Question: You have a glass of water that looks about half full. How can you tell, only using the glass of water itself, if the glass is half full or not?
The glass is a right cylinder.
Answer: Tip the glass of water until the water reaches the rim of the glass and if the water lines up perfectly with the bottom rim of the glass, it is half full.