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Use If To Return A Truly Blank Cell

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I often use if statements to return empty cells, for example:

=IF(a1=0,"ERROR","")

The trailing "" returns an empty cell. The problem is, it is not TRULY empty. If I fill that formula down, I cannot, for example, jump from one "ERROR" cell to the next by hitting Ctrl arrow-down because it seems to think that these empty cells have contents.

Is there a way to designate, in such a formula as above, to return a TRULY empty cell?

Thanks

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max