Formal:
* Bonjour, je m'appelle Monica. (This is the most common and polite way to introduce yourself.)
Informal:
* Salut, je m'appelle Monica. (This is a more casual greeting, suitable for friends or people you know well.)
* Bonjour, Monica. (You can simply say "Hello, Monica" if you're already familiar with the person.)
Note: In French, the verb "s'appeler" (to be called) is used to express your name. You can also use "je suis Monica" (I am Monica), which is less common but still acceptable.