The diameter of iron atoms is 0.000 000 014 inches, how can it be written in a scientific notation?
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Answer:
"The special case of 0 does not have a unique representation in scientific notation, i.e., 0=0×100=0×101=..." My question is the value of a cannot be 0 since, as they state: a is a real number satisfying 1≤|a|<10. Thus, zero cannot be written in scientific notation and using their example is misleading.
The instructions for making a pot of coffee specified 3 scoops (rather than 12,000 grounds) because any measurement is expressed more efficiently with units that are appropriate in size. In science, however, we often must deal with quantities that are extremely small or incredibly large. For example, you may have 5,000,000,000,000 red blood cells in a liter of blood, and the diameter of an iron atom is 0.000000014 inches. Numbers with many zeros can be cumbersome to work with, so scientists use scientific notation.