I heard a podcast recently about how our brains are excellent at remembering with rhythm and repetition. This is why we remember song lyrics more easily than a chunk of text word for word. Little children are taught letters and numbers with rhymes (ABCD rhyme in English). I wonder what techniques are used to teach Chinese kids basics. I think we could all use those more effectively than these out of order wild guess method.
sigh... you really are not that observant are you? did you not notice how they teach the numbers according to tones, for you to be able to remember how to say them correctly? and you are an adult, so for God's sake, is it really that important to teach you the order? Can you not figure it out by yourself?