How to Install Memory
As time goes by in the computing world, it usually becomes apparent that your computer will need more memory to keep up with the demands of newer software. A memory upgrade can go a long way towards extending the life of your PC.
Before we can discuss the actual installation of the memory, we need to make sure you get the correct type of memory for your machine. In order to do this, you will need to know the manufacturer model number of your computer. If, for example, you have a Dell Inspiron desktop, you will need to visit the Dell Support website, and access the tech specifications for your particular computer. This is information that will be more or less accessible, depending on your manufacturer. It is also important to know the maximum capacity that your computer can handle, as well as how much memory is installed. In other words, if you have 512Mb of memory, and that is the maximum capacity, you cannot add more. You will also need to open the case to see if there are any open slots for memory. If they are all full, but you are not at capacity, you will have to essentially remove some capacity to gain more.
You can find out how much memory is installed by right-clicking My Computer (Computer in Vista and 7) and selecting Properties.
The information you're looking for from the manufacturer is the speed of the memory, which will be stated as a number like DDR400, or PCxxxx. It may also tell you how many pins the RAM module has, like 184- or 240-pin.
Once you have your new memory in hand, let's look at what we have to do in the case.
NOTE: When you are working in the open case of your computer, make sure the POWER IS OFF. You might also want to invest a couple of dollars to get an anti-static wristband. At the very least, touch the metal case many times while you are working. The slightest bit of static electricity, even undetectable, can kill your computer.
DESKTOP

This image (taken from above) shows four memory slots, only one of which is filled.
Note that there are latches on each end of the open slot. This image shows an open latch. If the latches are not open, all you have to do is reach in and move the latches out of the way. These latches will lock into notches on each end of the module.
Also note a notch in the slot where your module will be installed. This notch will be slightly off-center, and corresponds to a notch in your new RAM module. This will allow the module to be installed only one way.
Place the RAM module in the slot, with the edges in the slots next to the end latches. Ensure that the notch in the memory slot lines up with the notch in the module.
Gently press the module into the slot evenly, and without twisting to the side. This will take some effort, but don't force the module so hard that you crack the motherboard or the slot. Press until the latches lock into place. You can manually lock the latches in to place if they don't do so on their own.
The module will look like this when it's installed. Make sure the latches are fully engaged.
Make sure that no other cables were disturbed, then close your case and restart your computer. It's a good sign if Windows starts up. When it does start, right-click My Computer (Computer in Vista) and select Properties. You should see the correct amount of RAM installed. Enjoy!
LAPTOP
Unplug everything from your laptop, and carefully place it top down on a soft surface. On the bottom of your laptop, you'll find several panels secured with screws. You'll need to find out from your manual or from the manufacturer which panel contains the memory. Remove the correct panel and set it aside. Make sure you don't lose the screw(s).
Laptop memory is smaller, and rests in the case in layers. Usually, there are two slots, and hopefully one is empty. The top slot is usually left open, if the manufacturer installed only one module.

Each slot has spring-loaded latches, and a notch to prevent incorrect installation of the module.
Place the new module in the slot at an angle, as shown here, making sure to align the notch with the notch in the module.
Making sure the module is pressed into the slot all the way, gently rotate the module down so that the edges contact the latches on each end. Continue to press until each latch springs into place, locking the module down. If the module pins are seated all the way in the slot, it will not require much pressure to seat the latches.
Reinstall the cover, turn the laptop over, and start it up. It's a good sign if Windows starts up. When it does start, right-click My Computer (Computer in Vista) and select Properties. You should see the correct amount of RAM installed. Enjoy!