And yes, I would say Singapore is worth visiting. If you have the budget, stay at the Marina Bay Sands Hotel. Most amazing pool in the World, I hard time getting out of it to do real sightseeing.
Besides Marina Bay Sands Hotel though, it is great to walk around Little India and even do some shopping (or people watching) on Orchard Road. I also enjoyed taking a stroll through the Botanic Gardens (free).
My other bit of advice, don't just do Singapore; combine it with a visit to Bali (either beaches and/or Ubud) or Malaysia... or if you're truly adventurous Sumatra and or Java. Easy to combine 2/3 days in Singapore with these other places.
Lastly, I am a travel agent... and although I am in Japan I offer hotel rates in USD$ or CAD$. PM me if you want some hotel suggestions and some pricing.
Curious, whereabouts in Asia are you?