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?

Question

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?

Answer

A number with 1% uncertainty and 3 significant figures.

Answer

A number with 2% uncertainty and 3 significant figures.

Answer

A number with 1% uncertainty and 2 significant figures.

Answer

A number with 2% uncertainty and 2 significant figures.

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There are other ways of expressing uncertainty besides significant figures. For ...

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