in daily chess the time 1day, 3day, etc are for each move- ie, one has 1day to make a move- there is no limit (i dont know exactly) for how long game lasts
More noobie questions - time controls

in daily chess the time 1day, 3day, etc are for each move- ie, one has 1day to make a move- there is no limit (i dont know exactly) for how long game lasts

The number is always total amount of time for each player to complete the game. A 5 minute game means each player has 5 minutes. 5/1 or 15/10 refers to increment - time added to your clock after each move. So 5/1 is 5 minutes per side to complete the game plus 1 second increment added to your time after each of your moves. 15/10 15 minutes to complete the game plus 10 seconds increment etc
When you say time is added, Do you mean the player gets more time or less? That is, do clocks count down to zero or up to the stated time total? Also, why is this done, why is time added for a move?

You get more time. For example in a 5 minute game your time counts down from 5 minutes to zero. In a 5/5 game your time counts down the same and 5 seconds extra time is added after each of your moves. The idea is that you should not lose by simply running out of time before the game reaches its 'natural' conclusion.
The player gets more time.
Clocks count down to zero and when that happens the player with the clock that times out loses.
Increment gives you extra time for each move so it's best to play with increment on faster games. Am not sure what's the purpose, maybe so people think faster knowing they will get more time. Not sure but anyways hope my answer helps

i'm not sure the specific reason for an increment but it sure helps- especially in endgame where (let's say you had to really think out a few moves earlier in the game and your time is below 2minutes) you can make up some breathing room if you have several moves already mapped out (like pushing a past pawn- maybe get back a minute in time)
i used to play mostly 30 min rapid games and was encouraged to start playing 15/10 by my instructor so as to get a higher quantity of games in- more games, more chances to practice development out of openings- but with the 10 second increment i found the quality of the games did not suffer much, if at all, so it does make a difference
i'm not sure the specific reason for an increment but it sure helps- especially in endgame where (let's say you had to really think out a few moves earlier in the game and your time is below 2minutes) you can make up some breathing room if you have several moves already mapped out (like pushing a past pawn- maybe get back a minute in time)
i used to play mostly 30 min rapid games and was encouraged to start playing 15/10 by my instructor so as to get a higher quantity of games in- more games, more chances to practice development out of openings- but with the 10 second increment i found the quality of the games did not suffer much, if at all, so it does make a difference
Mostly you explained it mathematically.
Alongside Play > Live Chess and Daily Chess is a matrix of time settings. Will someone explain these to me? Specifically are these time to move per player or total game length? Also what do the double figures like 15/10 and 5/1 mean?