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% Packages
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%\usepackage{opensans}          % Can't make this work so far. Shame. Would be lovely.
\usepackage[normalem]{ulem}     % For underlining links
% Most of the following are not required for the majority
% of cheat sheets but are needed for some symbol support.
\usepackage{amsmath}            % Symbols
\usepackage{MnSymbol}           % Symbols
\usepackage{wasysym}            % Symbols
%\usepackage[english,german,french,spanish,italian]{babel}              % Languages

% Document Info
\author{samywestside}
\pdfinfo{
  /Title (sig-figs.pdf)
  /Creator (Cheatography)
  /Author (samywestside)
  /Subject (Sig Figs Cheat Sheet)
}

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% Commands
\newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour
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% Header and Footer
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\fancyhead{} % Set header to blank
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\fancyhead[L]{
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
    \SetRowColor{DarkBackground}
    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
    }
\end{tabulary}
\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Sig Figs Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{samywestside} via \textcolor{DarkBackground}{\uline{cheatography.com/23261/cs/5090/}}}
\end{tabulary}
\end{multicols}}

\fancyfoot[L]{ \footnotesize
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{LL}
  \SetRowColor{FootBackground}
  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}samywestside \\
  \uline{cheatography.com/samywestside} \\
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Published 2nd September, 2015.\\
   Updated 13th May, 2016.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
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  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}}  \\
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  \vspace{-5pt}
  %\includegraphics[width=48px,height=48px]{dave.jpeg}
  Measure your website readability!\\
  www.readability-score.com
\end{tabulary}
\end{multicols}}




\begin{document}
\raggedright
\raggedcolumns

% Set font size to small. Switch to any value
% from this page to resize cheat sheet text:
% www.emerson.emory.edu/services/latex/latex_169.html
\footnotesize % Small font.

\begin{multicols*}{3}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Significant Figures}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{{\bf{Significant Figures}}: Digits in a measurement that can be determined accurately plus one that is estimated and is therefore uncertain. \newline % Row Count 3 (+ 3)
-All non-zero digits are always significant \newline % Row Count 4 (+ 1)
 446= sig figs \newline % Row Count 5 (+ 1)
-Zeros: \newline % Row Count 6 (+ 1)
\#1-Zeros at the beginning of numbers( are never significant) \newline % Row Count 8 (+ 2)
=0.678-3 sig figs \newline % Row Count 9 (+ 1)
\#2-Zeros b/n non-zero digits are always significant \newline % Row Count 11 (+ 2)
=706-3 sig figs \newline % Row Count 12 (+ 1)
\#3- Zeros at the end of numbers are only considered sig figs if there is a decimal point in the number or at the end of the number \newline % Row Count 15 (+ 3)
=760-2 sig figs \newline % Row Count 16 (+ 1)
=760.0-4 sig figs \newline % Row Count 17 (+ 1)
{\bf{Exact Numbers}}: Numbers that are counted not obtained using measuring devices have infinite sig figs.(Most conversion factors are exact numbers) \newline % Row Count 20 (+ 3)
{\bf{Scientific Notation}}: For values written in Scientific notation, the digits in the coefficient (numbers without an exponent). \newline % Row Count 23 (+ 3)
=1.500*10\textasciicircum{}4-4 sig figs \newline % Row Count 24 (+ 1)
{\bf{Scientific notation in Conversion rules}} \newline % Row Count 25 (+ 1)
\#1=Move the decimal point to the position so one non-zero digit is to the left of the decimal point \newline % Row Count 27 (+ 2)
\#2=If the decimal point is moved to the right, the exponent is positive \newline % Row Count 29 (+ 2)
\#3=If the decimal point is moved to the left, the exponent is negative% Row Count 31 (+ 2)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Rounding Adding,Subtracting,Dividing,Multiplying}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{{\bf{Rounding using Sig Figs}} \newline % Row Count 1 (+ 1)
-5 or greater will round up to the next digit \newline % Row Count 2 (+ 1)
-4 or less will be rounded down \newline % Row Count 3 (+ 1)
=1234.5 to 4 sig figs-1235 \newline % Row Count 4 (+ 1)
{\bf{Calculating using Sig Figs}} \newline % Row Count 5 (+ 1)
{\emph{Multiplication/Division}} \newline % Row Count 6 (+ 1)
\#1= Answer should have the same number of significant as the measurement with the fewest sig figs \newline % Row Count 8 (+ 2)
=1.35*0.04-0.0536-0.05 (Least number has 1 sig figs so you round the answer to 1 sig fig) \newline % Row Count 10 (+ 2)
{\emph{Addition/Subtraction}} \newline % Row Count 11 (+ 1)
\#1=The answer should have the same number of decimal places as the least precise measurement (Look at the place value of the least precise) \newline % Row Count 14 (+ 3)
=1.34+2.3=3.64-3.6 (10\textasciicircum{}th\textasciicircum{} is the least so answer should only go up to the 10\textasciicircum{}th\textasciicircum{}% Row Count 16 (+ 2)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
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\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Density and Percent Error}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{{\bf{Density}} \newline % Row Count 1 (+ 1)
Mass/Volume= Density \newline % Row Count 2 (+ 1)
{\emph{Intensive physical property}}: Doesn't change with increase in amount. \newline % Row Count 4 (+ 2)
{\emph{Volume}} \newline % Row Count 5 (+ 1)
Liquids=ml \newline % Row Count 6 (+ 1)
Solids=cm\textasciicircum{}3\textasciicircum{} \newline % Row Count 7 (+ 1)
{\bf{Percent error}} \newline % Row Count 8 (+ 1)
Quantitative comparison of the experimental value to the correct or accepted value. \% error is negative when experimental is smaller than actual. \newline % Row Count 11 (+ 3)
\% Error=(Experiment-Actual Value/Actual Value)*100% Row Count 12 (+ 1)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
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\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}