We use 'each' to talk about all the parts of a group, one by one. It shows that we think about every single person or thing separately.
Each child has a red pencil.
Each dog has a blue collar.
'Each' can take the place of a noun to mean every single one inside a group. It is used when the group is clear and we talk about members individually.
Each of the books is new.
Each has their own chair.
'Each' as an adverb shows that things happen one after the other, not all at once. It tells how something is done, separately for every person or thing.
They entered the room each in turn.
The students spoke each in order.
In prices or amounts, 'each' means ‘for every one’ of a group. It shows how much one item or person costs or receives.
Apples cost fifty cents each.
You must pay ten dollars each.
'Each' can stress that every member of a group must do something or has a special position. It is used to show responsibility or action one by one.
Each student must do their homework.
Each person has a role to play.
In math or logic, 'each' means 'every one' in a group, showing that something is true for all members of a set without exception.
Each element in the set is unique.
Each number satisfies the equation.
'Each other' is a phrase that shows two or more people do something with one another. It means a shared or mutual action between them.
They looked at each other happily.
We help each other daily.