GL sticks provide an easy method to perform multiplications and divisions: just read the result...
Edit and compile if you like:
% Genaille and Lucas sticks for multiplication and division% Author : Arnaud Lefebvre (IREM Rouen)% GL sticks provide an easy method to perform multiplications% and divisions: just read the result...\documentclass{article}\usepackage{tikz}\usepackage[active,tightpage]{preview}\PreviewEnvironment{tikzpicture}\setlength\PreviewBorder{5pt}%%-----------------------------------------------% environment for drawing sticks% an option of the form scale=VALUE can be given%------------------------------------------------\newenvironment{sticks}[1][scale=.6]{\begin{tikzpicture}[#1]\def\W{0}\def\WS{0}}{\end{tikzpicture}}%------------------------------------------------------------% \stickME draws an empty multiplication stick%------------------------------------------------------------\newcommand{\stickME}{%\begin{scope}[xshift=\W cm]\pgfmathparse{\W+2}\global\let\W\pgfmathresult\draw [black,rounded corners] (2,0) -- (2,24) -- (0,24) -- (0,0);\draw (0,0) -- (2,0);\foreach \x in {.5,1,...,22} {\draw (1.5,\x) -- (2,\x);}\draw (1.5,0) -- (1.5,22);\foreach \x in {4.5,8.5,12,15,17.5,19.5,21,22} {\draw (0,\x) -- (2,\x);}\end{scope}}%--------------------------------------------------------
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