What is the difference between closing your macbook & pressing apple-sleep?

Question

What is the difference between closing your macbook & pressing apple-sleep? My friend aid that it is better to put your computer to sleep by pressing the apple then hitting sleep. I have been just closing it. Is there a difference? Also, is it better to shut your computer down every once and a while. It seems like it gets slow if I just have it sleep after a couple weeks. ALSO, after it has been on sleep every night for a while, my computer has trrouble turning off. I get the problem that says, the application finder has failed to quit try force quitting and try again

Answer 1

None.
There's no particular need to shut down the computer except when traveling or moving the computer.
Whatever other problems you've described have nothing to do with sleeping or shutdown. More likely you need to do some maintenance and/or check that you haven't installed incompatible third-party software.
Kappy's Personal Suggestions for OS X Maintenance
For disk repairs use Disk Utility. For situations DU cannot handle the best third-party utilities are: Disk Warrior; DW only fixes problems with the disk directory, but most disk problems are caused by directory corruption; Disk Warrior 4.x is now Intel Mac compatible. TechTool Pro provides additional repair options including file repair and recovery, system diagnostics, and disk defragmentation. TechTool Pro 4.5.1 or higher are Intel Mac compatible; Drive Genius is similar to TechTool Pro in terms of the various repair services provided. Versions 1.5.1 or later are Intel Mac compatible.
OS X performs certain maintenance functions that are scheduled to occur on a daily, weekly, or monthly period. The maintenance scripts run in the early AM only if the computer is turned on 24/7 (no sleep.) If this isn't the case, then an excellent solution is to download and install a shareware utility such as Macaroni, JAW PseudoAnacron, or Anacron that will automate the maintenance activity regardless of whether the computer is turned off or asleep. Dependence upon third-party utilities to run the periodic maintenance scripts had been significantly reduced in Tiger and Leopard.
OS X automatically defrags files less than 20 MBs in size, so unless you have a disk full of very large files there's little need for defragmenting the hard drive. As for virus protection there are few if any such animals affecting OS X. You can protect the computer easily using the freeware Open Source virus protection software ClamXAV. Personally I would avoid most commercial anti-virus software because of their potential for causing problems.
I would also recommend downloading the shareware utility TinkerTool System that you can use for periodic maintenance such as removing old logfiles and archives, clearing caches, etc.
For emergency repairs install the freeware utility Applejack. If you cannot start up in OS X, you may be able to start in single-user mode from which you can run Applejack to do a whole set of repair and maintenance routines from the commandline. Note that presently AppleJack is not compatible with Leopard.
When you install any new system software or updates be sure to repair the hard drive and permissions beforehand. I also recommend booting into safe mode before doing system software updates.
Get an external Firewire drive at least equal in size to the internal hard drive and make (and maintain) a bootable clone/backup. You can make a bootable clone using the Restore option of Disk Utility. You can also make and maintain clones with good backup software. My personal recommendations are (order is not significant):
1. Retrospect Desktop (Commercial - not yet universal binary)
2. Synchronize! Pro X (Commercial)
3. Synk (Backup, Standard, or Pro)
4. Deja Vu (Shareware)
5. Carbon Copy Cloner (Donationware)
6. SuperDuper! (Commercial)
7. Intego Personal Backup (Commercial)
8. Data Backup (Commercial)
The following utilities can also be used for backup, but cannot create bootable clones:
1. Backup (requires a .Mac account with Apple both to get the software and to use it.)
2. Toast
3. Impression
4. arRSync
Apple's Backup is a full backup tool capable of also backing up across multiple media such as CD/DVD. However, it cannot create bootable backups. It is primarily an "archiving" utility as are the other two.
Impression and Toast are disk image based backups, only. Particularly useful if you need to backup to CD/DVD across multiple media.
Visit The XLab FAQs and read the FAQs on maintenance, optimization, virus protection, and backup and restore.
Additional suggestions will be found in Mac Maintenance Quick Assist.
Referenced software can be found at www.versiontracker.com and www.macupdate.com.
Repairing the Hard Drive and Permissions
Boot from your OS X Installer disc. After the installer loads select your language and click on the Continue button. When the menu bar appears select Disk Utility from the Installer menu (Utilities menu for Tiger and Leopard.) After DU loads select your hard drive entry (mfgr.'s ID and drive size) from the the left side list. In the DU status area you will see an entry for the S.M.A.R.T. status of the hard drive. If it does not say "Verified" then the hard drive is failing or failed. (SMART status is not reported on external Firewire or USB drives.) If the drive is "Verified" then select your OS X volume from the list on the left (sub-entry below the drive entry,) click on the First Aid tab, then click on the Repair Disk button. If DU reports any errors that have been fixed, then re-run Repair Disk until no errors are reported. If no errors are reported click on the Repair Permissions button. Wait until the operation completes, then quit DU and return to the installer. Now restart normally.
If DU reports errors it cannot fix, then you will need Disk Warrior (4.0 for Tiger, and 4.1 for Leopard) and/or TechTool Pro (4.6.1 for Leopard) to repair the drive. If you don't have either of them or if neither of them can fix the drive, then you will need to reformat the drive and reinstall OS X.