View the Milky Way at 10 million light years from the Earth. Then move through space towards the Earth in successive orders of magnitude until you reach a tall oak tree just outside the buildings of the National High Magnetic Field Laboratory in Tallahassee, Florida. After that, begin to move from the actual size of a leaf into a microscopic world that reveals leaf cell walls, the cell nucleus, chromatin, DNA and finally, into the subatomic universe of electrons and protons.

Notice how each picture is actually an image of something that is 10 times bigger or smaller than the one preceding or following it. The number that appears on the lower right just below each image is the size of the object in the picture. On the lower left is the same number written in powers of ten, or exponential notation. Exponential notation is a convenient way for scientists to write very large or very small numbers. For example, compare the size of the Earth to the size of a plant cell, which is a trillion times smaller:

Scientists examine things in particular ways using a combination of very sophisticated equipment, everyday instruments, and many unlikely tools. Some phenomena that scientists want to observe are so tiny that they need a magnifying glass, or even a microscope. Other things are so far away that a powerful telescope must be used in order to see them. It is important to understand and be able to compare the size of things we are studying.