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How you express something absolutely does change the amount of information in the message. That’s the foundation of compression.
Bitmap image files tend to be larger than png files, even when they both represent the same image.
1.41421… can be thought of as an expanded form of sqrt(2). In this case, the expansion is to an infinite number of digits.
I don’t think they would care about that unless there was a long line and you left no tip.