If you mean in Excel, yes: you must always start a formula with an equal sign.
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yes. a formula proves something. so you need to make it equal whatever its proving.
A formula with an equal sign
It is generally positive(+) or negative(-).For example: speed = distance/time.
It has the same meaning as an equals sign anywhere else in mathematics.
If you mean "spreadsheet program", not necessarily. That's a standard used in Excel; in older spreadsheets, such as Lotus 1-2-3, the formula used to start with a plus sign instead. A minus could be used as well, if it was appropriate for the formula. However, nowadays it seems to have become quite standard for formulae to start with an equal sign.