Here, 请 means please. It makes the sentence polite:
In other contexts, 请 can also mean to invite or to ask/request, but in this sentence it is just a polite marker at the beginning.
Chinese often uses a structure like:
These words such as 上, 里, and 下 are sometimes called location words or localizers.
So:
Even though English just says on the list, Chinese usually needs both parts:
So 在清单上 is the natural full expression.
Usually, no. 在清单写编号 sounds incomplete or unnatural.
The normal form is:
That is because 清单 is the noun, and 上 tells you the action happens on that surface/document.
You can think of 清单上 as one unit meaning on the list.
Chinese usually puts the location before the main verb.
So the structure is:
Literally:
This is very normal in Chinese. Time, place, and manner often come before the verb.
Compare:
编号 usually means a number used for identification, such as:
It is not just any number in the abstract.
For comparison:
So in this sentence, 编号 most likely means an identifying number that should be written on the list.
Here, 编号 is a noun: the number/code.
It is the object of 写:
But in other sentences, 编号 can also be a verb meaning to number or to assign numbers.
For example:
So yes, 编号 can be either a noun or a verb, but in your sentence it is a noun.
Chinese does not have articles like a, an, or the.
So:
The exact meaning depends on context.
That is very normal in Chinese, and learners need to get used to nouns appearing without articles.
Yes, a similar sentence could be:
This also means Please write the number/code on the list.
The difference is mostly in focus:
Both are natural, but your original sentence is a very straightforward instruction.
Not exactly.
So if the document is a general list or checklist, 清单 is correct. If it is specifically a name list, 名单 may be more appropriate.
Even if the translation is already given, it helps to know the natural sense.
写编号 does not always mean physically writing a random number. It often means:
So the exact English wording depends on context, but the Chinese structure is simply:
It is fairly neutral and polite.
It sounds like an instruction you might see:
It is not especially casual, but not highly formal either.