Question

Give the position of the first significant figure in the numbers whose logarithms are
$\overline{2}{}^{.}7781513,{}^{.}6910815,\overline{5}{}^{.}4871384.$

Answer 1

$\overline{2}.7781513$ - The characteristic is -2, hence the 1st significant digit will be at the second decimal point

$0.6910815$ - The characteristic is 0, hence the 1st significant digit will be at the units place

$\overline{5}.4871384$ - The characteristic is -5, hence the 1st significant digit will be at the fifth decimal point