Can anyone give two real-world examples of scientific notation?
Most of the uses of scientific notation have to do with calculations that could best be expressed in methods other than standard form. Naturally, this rests in science and math realms, but the evidence is compelling. The properties of an electron would be an example of this:
An electron's mass is about 0.00000000000000000000000000000091093822 kg. In scientific notation, this is written 9.1093822×10−31
Standard form depiction of this is simply too cumbersome, and scientific notation allows the depiction and articulation of numbers to be more concise. The circumference of the Earth is another example of this, as "In scientific notation, this is 4×107
m." Again, for extreme large and small quantities, the method of scientific notation is vitally important. In the end, scientific notation allows individuals to speak with more precision about properties of matter.