## Thinking Mathematically (6th Edition)

$152_{six}$
$(4\times 5)_{10}=(20)_{10}=3\times 6+2=(32)_{six}$ Record the 2, and carry the 3. $\begin{array}{llll} & 2 & 5_{six} & \\ \times & & 4_{six} & \\ -- & -- & -- & \\ & & 2_{six} & \end{array}$ $(4\times 2)_{10}=(8)_{10}=1\times 6+2=(12)_{six}$ $12_{six}+3_{six}=15_{six}$ record the $5$; carry the $1$, and record the 1. $\begin{array}{llll} & 2 & 5_{six} & \\ \times & & 4_{six} & \\ -- & -- & -- & \\ 1 & 5 & 2_{six} & \end{array}$