Why is my cellular data used so fast?

I have an iPhone 5 from Verizon and have a monthly plan of 5GB. I keep using all my data really fast and i don't know why. I do not watch videos too often (1 once a week and they're short aprox 3 mins). I talked to verizon on the phone and in person and they say they can't do anything. I have iOS7 too if that makes a difference. Help me! I turn my data off when I don't need it too.

Running apps in the background?

Hard to say without more details

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Yep running apps in background + location turned on + Wi-Fi turned on, try to turn that off!

It could be a number of things, apps running in foreground, heavy app usage, so I suggest checking data usage in settings. Also, if you're running low on data, 4G LTE uses Way more data faster than 3G or even 2G.

When you are not using it, most certainly be sure to turn Cellular Data off. Also, use Wi-Fi when you can (especially for watching videos, downloading files, etc. As that uses a lot of data fast).

Games like Candy Crush, Facebook and other social media apps, etc. All use data and if you do not close them out then they are running in the background.