Sam is a gluttonous kid, so he decides to buy a colorful lollipop at the price of 1$ (one dollar) in the nearest candy store. Though, he realizes that he can't afford it as his budget is just 1¢ (a penny). Anyway, Sam isn't going to give up, so he asks to his friend Tom to change his penny with a dollar.
"Why should I?", asks Tom.
Sam replies: "One dollar is 100 pennies; 100 pennies are 10 pennies x 10 pennies; 10 pennies x 10 pennies are 1/10 of dollar x 1/10 of dollar; 1/10 of dollar x 1/10 of dollar is 1/100 of dollar; I just showed you that one dollar is equivalent to a penny."
How is Sam lying?