Why are 7.630 and 7.63000 are equivalent explain how show work

They are equivalent because 0 equals nothing so adding more 0 will add no value.

They are the same because every place after the 3 will be a 0. so you can add on more places after your answer but all those empty places will have 0 in them. people do that when the do math problems and need a certain amount of places.