I'll try to explain this the best I can.
First off you don't really need to know the zoom range, like 3x, 10x, 15x, etc unless you're looking at a point and shoot. What you have to learn when it comes to dslrs is what focal lengths are best in what situations.
The focal length of a lens is measured in mm, and is usually labeled like 18-55, 55-250mm, 70-200mm, 50mm, 85mm,etc. When its a number like 18-55mm, that means the lens can zoom from 18-55. If its one number, like 50mm, that means its a fixed focal lenght, which is called a prime lens. This number measures the distance of the lens from the back of the camera. The shorter the distance (lower the number) the wider the field of view, the longer the distance (larger the number) the narrower the field of view becomes.
To convert this mm idea to the P&S variety, on your camera you should have a zoom switch. one side should have a T for telephoto, and a W for wide. Wide means wide angle of view, which to a dslr would be a smaller mm number on the lens. Telephoto means a narrower field of view, which to a dslr would mean a larger mm number. IF you hold the switch to W until it can't zoom out anymore, that's the widest field of view the lens has, which would be the lowest number on a dslr lens. If you hold it on T till it stops, that's the narrowest field of view, which is the biggest number on the lens.
When you have a lens that starts with a smaller number like 18 or 28, its a wide angle zoom. If you have a lens that starts with a larger number like 55 or 70, its a telephoto zoom. If the zoom starts with a small number ilke 18 and ends with a really large number like 135 or 200, it's called a superzoom because there is such a big difference between the shortest and longest focal lengths possible. Most point and shoots are like superzooms, they have a really big focal range