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Preferred standard form and classical standard form are two different ways to represent numbers in mathematics. Preferred standard form, also known as scientific notation, is a way to write very large or very small numbers using powers of 10. Classical standard form, on the other hand, refers to the standard way of writing numbers with digits in the ones, tens, hundreds, etc. places. The main difference between the two is that preferred standard form is used for convenience in expressing very large or very small numbers, while classical standard form is the standard way of writing numbers in everyday mathematics.

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