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Sorry for the terrible question, but how do you define E-3, which is used in the calculators to indicate that the first 3 decimals in the number are not displayed ?

0.000563 = 5.63E-3 

I need to write in my thesis something like: "Please, pay attention that the values are shifted by 3 decimals".

thanks

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    @rschwieb It is about communicating maths. If I am interpreting it correctly, the OP wants to make it clear than when they are writing 5.3 they *mean* 0.0053. Which is not as uncommon as you might think.2013-08-01

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It depends on what you're writing about. It's probably easier to just write $5.63\times10^{-3}$ in the place of $0.00563$ in a math text. If you really don't want to write the $\times10^{-3}$ (for example, in a table), just say "please note that the values in this table represent the error(or whatever they represent) divided by $1000$."

If you're writing about something physical that has units (for example, distance) write: "Measurement is in millimeters" or "Measured in $\text{mm}$."