Right, but when learning English as a second language, they don't teach you "com" and "putare", because the roots are too far away and too diverse (Latin, Germanic) whereas in Chinese, it's often immediately obvious. Well, more often than in other languages. Most of it is still random-looking.
Well, that's the cool thing about Chinese - it's the Latin/Greek of East Asia :) It's to Japanese/Korean/Vietnamese what Latin/Germanic are to English, so there are less indirections.