This "で" is used for decision-making situation.
For example, you and your friends are talking about when to go traveling.
Your friend: いつ旅行に行く？来週もしくは再来週？
When are we going on trip? Next week or the week after next week?
Okay, then. Let us leave on the next week after next week.
Your example sentence also describes which one to choose ...
A Japanese sentence can sometimes be translated a few different ways into English:
(The cell phone is ringing with a loud noise.) is correct as well, but less natural in English from my experience.
I believe the Anki cards are just trying to help you by using the most natural sentence in English even if it omitted the dictionary definitions of で, in this ...
All particles (and many other words) have more meanings and usages than small or online bilingual dictionaries tend to tell you.
This is the 「で」 that is used to describe the manner or mode in which an action is performed. In what manner is the cellphone ringing? At a high volume, right?
Some home-made examples would be:...
In Japanese, the use of particles for time references is generally predicted by whether the time reference is fixed or relative. For fixed time references, the particle に is used to mark the time word. For relative time references, the particle is usually omitted.
Examples of fixed time references are named days, times, dates, years, etc.
Examples of ...