Ten870;
The Nikon Prostaff mentioned above should be a good scope for your unit. However, if you want a variable scope, and are willing to spend a little more money, take a look at the Sightron S-1 3-9X rimfire too.
If, (when) you trick out your 10/22 & start looking for more accuracy, your glass needs will change too. I do a lot of .22 rimfire hunting, the guns I do it with all wear adjustable objective (A/O) scopes. They cost more, frequently much more, but are, for me, worth it in my application.
Just re-read your first post. The magnification range of a variable power scope is properly expressed as the range of magnification followed by X. Therefore, the S-1 Sightron is a nominal 3 to 9 power scope. It's called a rimfire because the parallax has been set to something around 60 yards at the factory. Normal centerfire scopes usually have the parallax set for something around 150 yards. Parallax is an optical condition that involves the relationship of the eye, reticle, target, and range of the target. If the eye isn't centered on ocular lens of the scope, even though the crosshairs can be on the target, if the parallax setting isn't correct, the point of bullet impact, (POI) won't be on the point of aim, (POA). A reticle is what you see in the scope to provide an aiming reference point. Usually, the crosshairs. However, there are many different reticles available provided you know how to access them. The mil-dot reticle is another that's popular these days.
Hope this helps.
900F
