There are a couple of kinds of watt-hour meters: one is an electromechanical type (the one with the spinning wheel), and the other is a solid-state type. The solid-state types generally use a current...
It's unfortunate that both of these units include the same word "watt". That gives the impression that one can be converted into the other. These two units are used for measuring different...
A kilowatt hour is 1000 watt hours.
A watt hour is the amount of energy consumed, over a period of one hour, at the rate of one watt. The rate of consumption of energy being 'power'.