If your apps close on launch (that is, you tap on the app icon and you're immediately taken back to the home screen), try the following steps:
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Either download and read the users manual from 'support.apple.com/manuals or take the iPod Touch into an Apple Store and ask the people there
Click on the IPod symbol, when you plug it in, on itunes. Up top go to "Apps" and select "Sync Apps" off to not sync them :)
If your iPhone has iOS7 all you have to do is click the home button twice quickly, then all the apps you have open will appear as windows and you can swipe left and right to move from one to the next. To close them, just swipe the app window up!
you hold your finger on them and then click the cross that will be next to them