it is referred to as single rank (1R) or dual rank (2R).
Yes, for the most part you can combine, but it depends on other factors, like your motherboard, ram speed and timings and voltage required. It can be troublesome.
What is your current ram module? Exact models of both the one you have and the one you want to buy will help.
And yes, it will work with your motherboard, but may not work alongside the current ram you have. Giving the exact model of the new module and your current one will help us figure that out for sure.