How many significant figures are there in each of the...

How many significant figures are there in each of the following? (a) $0.006 \mathrm{L},$ (b) $0.0605 \mathrm{dm},$ (c) $60.5 \mathrm{mg},$ (d) $605.5 \mathrm{cm}^{2},$ (e) $960 \times 10^{-3} \mathrm{g},$ (f) $6 \mathrm{kg},(\mathrm{g}) 60 \mathrm{m}.$

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Key Concepts

Scientific Notation

Scientific notation expresses numbers as a product of a number between 1 and 10 and a power of ten. It is particularly useful in clearly indicating the number of significant figures, since the coefficient carries all the significant digits, eliminating ambiguity about where the significant figures lie.

Rules for Determining Significant Figures

A set of rules is used to decide which digits in a number are significant: all nonzero digits are significant, zeros between nonzero digits are significant, leading zeros (zeros before the first nonzero digit) are not significant, and trailing zeros are significant only if a decimal point is shown, which indicates measured precision.

Significant Figures

Significant figures are the digits in a number that carry meaning contributing to its measurement resolution. They reflect the precision of the number by including all nonzero digits, any zeros between them, and, in many cases, trailing zeros when a decimal point is present.

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