“Sure, I'll add him to the distribution list.”
You're having a phone conference with several people at work. One of the managers says that one of her employees hasn't been getting any e-mails about a certain project. She asks you to make sure that he gets these e-mails. You say this in reply.
Sure, I'll add him to the distribution list.
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Sure
"Sure" means "yes".
A: Hey, can you help me with this?
B: Sure.
But "sure" is more casual than "yes".
If you just answer "yes" to a question, it can sound as if you are angry:
A: Hey, can you help me with this?
B: Yes.
A: Uh... Are you annoyed or something?
"Sure" is similar to "of course". Both suggest that it's obvious and expected for the answer to be "yes".
A: Will you come to my graduation?
B: Of course!
"Of course" is a stronger response and more positive response than "sure".
I'll (do something)
You use "will" when you're announcing a decision that you just made. In this example, you heard someone say that someone wasn't getting the e-mails. So you decided to add him to the list. If you were already planning to do this, you would say:
Yes, I was going to add him to the distribution list.
add (something) to (a list)
Each point on a list is called "an item". When you make a new item for a list, you are "adding" that item to the list.
A: Am I on the list?
B: No, but I'll add you.
a distribution list
A "distribution list" is a list of everyone who is supposed to receive something. In e-mail, it's a convenient list of addresses for people who are supposed to get emails about a certain subject. For example, you might have a distribution list for all of the members of a department at work. Or you could create a distribution list for all of the people who are supposed to get a weekly report that you write.