Which of the following is a significant notation to express $0.006006$

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$6.01 \times 10^{- 3}$

$6.0 \times 10^{- 3}$

$6.006 \times 10^{- 3}$

$6.00 \times 10^{- 3}$

answer is D.

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Detailed Solution

The precisely accurate numbers in a figure are known to be the significant figures. According to the 5 rules of significant figures,

- All the non-zero numbers are counted as significant.

- The zeroes between two non-zero digits are counted as significant.

- The leading zeroes are not significant.

- The zeroes to the right of the decimal are significant.

- The trailing zeros in a whole number with the decimal are considered as significant.

So, the number $0.006006$ is expressed in significant notation to three significant figures. And in order to obtain 3 significant figures, rounding up is generally done.

Hence, the number is arranged to $6.006 \times 10^{- 3}$ which is further rounded off to $6.01 \times 10^{- 3}$ i.e., 3 significant figures (because 6 is greater than 5 so, the number next to it rounded up from 0 to 1).