## Thinking Mathematically (6th Edition)

The value of a digit varies according to the position it occupies in a numeral. Place values varies with the position of the digit with exponents of the base. Place values of a four-digit base six number are: ${{6}^{3}},{{6}^{2}},{{6}^{1}},{{6}^{0}}$ For example: Place values of number ${{1442}_{\operatorname{six}}}$are, \begin{align} & {{1442}_{\operatorname{six}}}=\left( 1\times {{6}^{3}} \right)+\left( 4\times {{6}^{2}} \right)+\left( 4\times {{6}^{1}} \right)+\left( 2\times {{6}^{0}} \right) \\ & =216+144+24+2 \\ & =386 \end{align}