The simple reason why it is very important for a given measurement always be reported to the correct number of significant figures is because solved answers usually, frequently and most of the time depend on the number of significant figures in the values used during the calculation
There are accurate figures which is used in solving mathematical problems
So therefore, the simple reason why it is very important for a given measurement always be reported to the correct number of significant figures is because solved answers usually, frequently and most of the time depend on the number of significant figures in the values used during the calculation
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