Hi Jackie14,  
The information included in your documentation, is the advice we have been given. I have checked this with my colleague in our consular services department who has advised: 
"This is correct, you should carry your passport at all times. The police have the right to arrest you if you can’t show your passport & detain you until they can confirm your identity! Hotels may also require passport details or a copy of your passport." 
Kindest regards, 
Julia