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Scientific notation is a way of making really big numbers or really small numbers much easier to work with. It involves taking whatever number you have and multiplying it by some factor of 10.
Lets start small- say we want to put the number 23 into scientific notation. We would make it 2.3 x 10^1 . 2.3 x 10 is the same thing as 23. I know, why not just say 23? Well, for a small number like this, we would.
Many times in science though, numbers are much too big or small to work with realistically. To write them all out would be a total waste of time, and make things very confusing. So, when we have a number (like Avogadro's constant for example), we simplify it.
602,200,000,000,000,000,000,000 becomes 6.022 x 10^23
Or, take a really small number like .000000000000000035. In scientific notation, we would call this 3.5 x 10^-17.
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