UK charge plug

Hello.

I bought my MacBook Pro in Turkey and then I have moved to Singapore. The plugs here are the same as those of the UK and I want to use a properly grounded charger for my Mac. If I buy a UK wall plug (but not with the long cable, just the small plug seen in the bottom of the photo I attached), would it be grounded. I could not see the metal connection in any of the pictures on the web.

The long cable is not sold separately and I do not want to buy a separate charge adaptor for that. Is buying an Apple travel kit is the most economical solution? Of course if the plug I mentioned is grounded.

Thanks a lot..

Bugra