Chapter 4.3, Problem 5CVC

To determine

The missing part of the statement “

$\begin{array}{lll}\hfill & \hfill & \hfill \\ \hfill & 2\hfill & 3_{\text{four}}\hfill \\ \times \hfill & \hfill & 3_{\text{four}}\hfill \\ \hfill & \hfill & \hfill \end{array}$

We begin with $3_{\text{four}}\times 3_{\text{four}}=9_{\text{ten}}=\left(\_\_\times 4\right)+\left(\_\_\times 1\right)=\_{\_}_{\text{four}}$. We record the __ and carry the __. Our next computation involves both multiplication and addition.

$\left(2_{\text{four}}\times 3_{\text{four}}\right)+\_{\_}_{\text{four}}=8_{\text{ten}}=\left(\_\_\times 4\right)+\left(\_\_\_\times 1\right)=\_{\_}_{\text{four}}$

Recording this last computation, the desired product is ___ four.”