Do slight frequency increases make that much difference?

For example… When my laptop is running at 2.2GHz (just web browsing or playing some flash games), it's decently quiet but I can still hear the fan, and the air coming out is only moderately hot; when it goes up to 2.4GHz or 2.5GHz, (when playing Minecraft it usually does this) the fan kicks up in to semi-rocket 747 mode and all of a sudden hell is blowing out of the vents. Do frequency increases really make that big of a difference? The CPU itself goes all the way up 2.8GHz (it's an AMD A8-4500M APU) but given how hot it already gets I think the CPU would melt at 2.8.

Btw, these frequency readings are taken from the Windows Task Manager, if that makes a difference.

It's because it's an APU processor! It has the graphics gpu built into the cpu, so when you play games the gpu kicks in and will get far hotter, then the fans detect this and spin faster.