There are other ways of expressing uncertainty besides significant figures. For example, suppose a quantity is known to have a value between 20.4 and 20.0, and our best estimate of the value is midrange at 20.2. We could write the number as 20.2 +/− 0.2 and say that the number has a 1% uncertainty. We would also say it has 3 significant figures. If we square a number with 1% uncertainty (i.e., 2 parts in about 200) and 3 significant figures, what results?

A. A number with 1% uncertainty and 3 significant figures.

B. A number with 2% uncertainty and 3 significant figures.

C. A number with 2% uncertainty and 2 significant figures.

D. A number with 1% uncertainty and 2 significant figures.

The answer is :

B. A number with 2% uncertainty and 3 significant figures.

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