(a) Imagine you have a dollar bill. If you double it, you have two bills. If you double again, you have four bills. If you double again, you have eight bills, and so on. Given that a bill is 0.1mm thick, how many doublings do you have to go through before you have a stack that reaches from the Earth to the Moon? (The Moon is 360,000km away.)

(b) How many doublings do you need to get a stack that goes halfway to the Moon?

(c) How many doublings do you need to get 1 percent of the way to the Moon?