When I ask a simple question should I ask it in negative form?


My textbook is prompting me to ask questions:

> "Don't you want to see a movie?"  
>  eiga o mimasen ka?
>
> "Don't you want to eat dinner?"  
>  bangohan o tabemasen ka?

I'm wondering if I should be asking these types of negative questions instead
something like this:

> "Do you want to see a movie?"  
>  eiga o mimas ka?

etc...




Questions can be asked in either positive or negative. They only vary by
politeness (with the latter being more so).

> 映画{えいが}を見{み}ませんか。  
>  映画を見ますか。

These are two nearly identical ways of asking the same thing (Do you want to
see a movie?). The only difference is that the former is slightly more polite.

Also, unlike English, responses are reversed when the question is in the
negative. What I mean by that is:

> 映画{えいが}を見{み}ますか。 (Do you want to see a movie?)  
>  はい (=Yes, I **do** want to see a movie)  
>  いいえ (=No, I **don't** want to see a movie)

However:

> 映画{えいが}を見{み}ませんか。(Don't you want to see a movie?)  
>  はい (=No, I **don't** want to see a movie)  
>  いいえ (=Yes, I **do** want to see a movie)




These "negative questions" as you refer to them are an appropriate way to
invite someone to do something with you.

So

> 映画｛えいが｝を見｛み｝ませんか。

can read as

>   1. Won't you see a movie (with me)?
>   2. Would you like to see a movie (with me)?
>

Your example

> 映画を見ますか。

can read as

>   1. Are you going to see a/the movie?
>   2. Will you watch the movie?
>

For illustrative purposes, "negative questions" can also be interpreted as a
genuine question.

> 山田｛やまだ｝さんは英語｛えいご｝を話｛はな｝しませんか。

This can read as

> Doesn't Yamada-san speak English?

