All the numbers listed are rational, since they can all be represented as a fraction, EXCEPT "2 in the house thingy", which I suppose is 
.
This last one is irrational, because it cannot be represented as a finite fraction.
The following is a check to make sure:
1/3 is already a fraction
2/7 is already a fraction
2 in the house thingy = cannot be converted into a finite fraction.
3.624 = 3624/1000 is a fraction
0.6 repeat = 2/3 is a fraction
0.87 repeat = 87/99 = 29/33 is a fraction
-5 = -5/1 is a fraction.
This last one is irrational, because it cannot be represented as a finite fraction.
The following is a check to make sure:
1/3 is already a fraction
2/7 is already a fraction
2 in the house thingy =
3.624 = 3624/1000 is a fraction
0.6 repeat = 2/3 is a fraction
0.87 repeat = 87/99 = 29/33 is a fraction
-5 = -5/1 is a fraction.