Is pronunciation really important?

GURGLE
Wed, 10 Mar 2010 00:59:29 +0000

I am not a native speaker.
I study in a department of foreign language and literatures
I have a class that helps us improve our pronunciation
In class, we need to speak the words correctly even some sounds are not necessary to pronounce it very clearly
I want to ask the native speakers
Do you really pay much attention on the pronunciation?

Example:“apple”-----“a”
“famous”-----“a”
(I know they are different to pronounce, but do you really care?)
or any ending sounds or linking