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%TCIDATA{<META NAME="Title" CONTENT="Units and Measurements">}
%TCIDATA{Created=Mon Aug 19 14:52:24 1996}
%TCIDATA{LastRevised=Thu Feb 13 17:09:56 1997}
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\begin{document}


\section{Units and Measurements\label{Units}}

The units available in \textsl{Scientific Notebook} include units from the
System of International Units (\textbf{SI} units), an internationally agreed
upon system of coherent units that is now in use for all scientific and most
technological purposes in many countries. SI units are of three kinds: the
base, supplementary, and derived units. There are seven base units for the
seven dimensionally independent physical quantities: \emph{length}, \emph{%
mass}, \emph{time}, \emph{electric} \emph{current}, \emph{thermodynamic
temperature}, \emph{amount of substance}, and \emph{luminous intensity}.
Units from other commonly used systems are also available in \textsl{%
Scientific Notebook}.

\subsection{Units in Scientific Notebook\label{Enter unit}}

Units appear in the \textsl{Scientific Notebook} screen with dark green
characters. Units are in mathematics mode and are active mathematical
objects.

\begin{quote}
$\blacktriangleright $ To enter a unit in a Scientific Notebook document
\end{quote}

\begin{enumerate}
\item  Place the insertion point at the position where you want the unit
name.

\item  Choose \textsf{Insert + Unit Name.}

\item  Select a category from the \textsf{Physical Quantity} list.

\item  Select a name from the \textsf{Unit Name} list.

\item  Choose \textsf{Insert}.
\end{enumerate}

The unit name will appear at the position of the insertion point.

Units are automatically recognized and can be entered from the keyboard. See
keyboard shortcuts below.

\begin{quote}
$\blacktriangleright $ \label{Units, keyboard shortcuts}To enter a unit from
the keyboard
\end{quote}

\begin{enumerate}
\item  Place the insertion point at the position where you want the unit
name.

\item  If the insertion point is not in mathematics mode, click \FRAME{itbpF%
}{0.3009in}{0.3009in}{0.0701in}{}{}{text.wmf}{\special{language "Scientific
Word";type "GRAPHIC";display "PICT";valid_file "F";width 0.3009in;height
0.3009in;depth 0.0701in;original-width 16.0625pt;original-height
16.0625pt;cropleft "0";croptop "1";cropright "1";cropbottom "0";filename
'Text.wmf';file-properties "XNPEU";}}, choose \textsf{Insert + Mathematics},
or press \textsc{ctrl\ +\ m} to place the insertion point in mathematics
mode.

\item  Type `$u$` followed by the unit symbol, with the following
exceptions.\medskip 

\begin{itemize}
\item  Type `$mc$` for `micro' in place of $\mu $ which will appear in the
unit symbol.

\item  Type '$uhr$' for the hour symbol $\unit{h}$.

\item  Type '$ume$' for the meter symbol $\unit{m}$.

\item  Type `$uan$` for the angstrom symbol $\unit{\AA }$.

\item  Type `$uCo$` for the Coulomb symbol $\unit{C}$.

\item  Type `$uTe$` for the Tesla symbol $\unit{T}$.

\item  Type '$uli$' for the Liter symbol $\unit{l}$.

\item  Type `$ohm$` (after the prefix) for the symbols for ohm (and its
derivatives).

\item  Type `$ucel$` and `$ufahr$` for degrees Celsius and degrees
Fahrenheit, respectively.

\item  Type `$udeg$ for the degree symbol $\unit{\UNICODE{0xb0}}$ (plane
angle).

\item  Type `$udmn$` and `$uds$` for (degree) minute $\unit{\UNICODE{0x2032}}
$ and (degree) second $\unit{\UNICODE{0x2033}}$, respectively.
\end{itemize}
\end{enumerate}

Autorecognition is case sensitive, so type upper case where indicated. The
unit symbol should turn green when you type the last character.

Units available in the \textsf{Unit Name} dialog and their keyboard
shortcuts are shown in the following tables. The four columns represent 
\fbox{$
\begin{tabular}{|l|l|l|l|}
\hline
\label{Physical quantity}\textsf{Physical Quantity} & {\small Unit Name} & $%
\limfunc{Unit}$ $\limfunc{Symbol}$ & $Keyboard\ Shortcut$ \\ \hline
\end{tabular}
$} .\medskip

\begin{tabular}{l|l|l|l|}
\hline
\multicolumn{1}{|l|}{\label{Activity}\textsf{Activity}} & {\small Becquerel}
& $\unit{Bq}$ & $uBq$ \\ \hline
& {\small Curie} & $\unit{Ci}$ & $uCi$ \\ \cline{2-4}
\end{tabular}
\bigskip

\begin{tabular}{|l|l|l|l|}
\hline
\textsf{Amount of Substance}\label{Amount of substance} & {\small Mole} & $%
\unit{mol}$ & $umol$ \\ \hline
\end{tabular}
\bigskip

\begin{tabular}{l|l|l|l|}
\hline
\multicolumn{1}{|l|}{\textsf{Area}\label{Area}} & {\small Acre} & $\unit{acre%
}$ & $uacre$ \\ \hline
& {\small Square foot} & $\unit{ft}^{2}$ & $uft$\textsc{\ }{\small (insert
superscript)} \\ \cline{2-4}
& {\small Square inch} & $\unit{in}^{2}$ & $uin$\textsc{\ }{\small (insert
superscript)} \\ \cline{2-4}
& {\small Square meter} & $\unit{m}^{2}$ & $ume$\textsc{\ }{\small (insert
superscript)} \\ \cline{2-4}
\end{tabular}
\bigskip

\begin{tabular}{l|l|l|l|}
\hline
\multicolumn{1}{|l|}{\textsf{Current}\label{Current}} & {\small Ampere} & 
\multicolumn{1}{|l|}{$\unit{A}$} & $uA$ \\ \hline
& {\small Microampere} & \multicolumn{1}{|l|}{$\unit{\UNICODE{0x3bc}A}$} & $%
umcA$ \\ \cline{2-4}
& {\small Milliampere} & \multicolumn{1}{|l|}{$\unit{mA}$} & $umA$ \\ 
\cline{2-4}
& {\small Nanoampere} & $\unit{nA}$ & $unA$ \\ \cline{2-4}
\end{tabular}
\bigskip

\begin{tabular}{l|l|l|l|}
\hline
\multicolumn{1}{|l|}{\textsf{Electric capacitance}\label%
{Electric capacitance}} & {\small Farad} & $\unit{F}$ & $uF$ \\ \hline
& {\small Microfarad} & $\unit{\UNICODE{0x3bc}F}$ & $umcF$ \\ \cline{2-4}
& {\small Millifarad} & $\unit{mF}$ & $umF$ \\ \cline{2-4}
& {\small Nanofarad} & $\unit{nF}$ & $unF$ \\ \cline{2-4}
& {\small Picofarad} & $\unit{pF}$ & $upF$ \\ \cline{2-4}
\end{tabular}
\bigskip

\begin{tabular}{llll}
\hline
\multicolumn{1}{|l}{\textsf{Electric charge}\label{Electric charge}} & 
\multicolumn{1}{|l}{\small Coulomb} & \multicolumn{1}{|l|}{$\unit{C}$} & 
\multicolumn{1}{|l|}{$uCo$} \\ \hline
&  &  &  \\ \hline
\multicolumn{1}{|l}{\textsf{Electric conductance}\label{Electric conductance}
} & \multicolumn{1}{|l}{\small Kilosiemens} & \multicolumn{1}{|l|}{$\unit{kS}
$} & \multicolumn{1}{|l|}{$ukS$} \\ \hline
& \multicolumn{1}{|l}{\small Microsiemens} & \multicolumn{1}{|l|}{$\unit{%
\UNICODE{0x3bc}S}$} & \multicolumn{1}{|l|}{$umcS$} \\ \cline{2-4}
& \multicolumn{1}{|l}{\small Millisiemens} & \multicolumn{1}{|l|}{$\unit{mS}$%
} & \multicolumn{1}{|l|}{$umS$} \\ \cline{2-4}
& \multicolumn{1}{|l}{\small Siemens} & \multicolumn{1}{|l}{$\unit{S}$} & 
\multicolumn{1}{|l|}{$uS$} \\ \cline{2-4}
\end{tabular}

\bigskip

\begin{tabular}{llll}
\hline
\multicolumn{1}{|l}{\textsf{Electrical potential difference}\label%
{Electrical potential difference}} & \multicolumn{1}{|l}{\small Volt} & 
\multicolumn{1}{|l|}{$\unit{V}$} & \multicolumn{1}{|l|}{$uV$} \\ \hline
&  &  &  \\ \hline
\multicolumn{1}{|l}{\textsf{Electric resistance}\label{Electric resistance}}
& \multicolumn{1}{|l}{\small Gigaohm} & \multicolumn{1}{|l|}{$\unit{G%
\UNICODE{0x3a9}}$} & \multicolumn{1}{|l|}{$uGohm$} \\ \hline
& \multicolumn{1}{|l}{\small Kiloohm} & \multicolumn{1}{|l|}{$\unit{k%
\UNICODE{0x3a9}}$} & \multicolumn{1}{|l|}{$ukohm$} \\ \cline{2-4}
& \multicolumn{1}{|l}{\small Megaohm} & \multicolumn{1}{|l|}{$\unit{M%
\UNICODE{0x3a9}}$} & \multicolumn{1}{|l|}{$uMohm$} \\ \cline{2-4}
& \multicolumn{1}{|l}{\small Milliohm} & \multicolumn{1}{|l|}{$\unit{m%
\UNICODE{0x3a9}}$} & \multicolumn{1}{|l|}{$umohm$} \\ \cline{2-4}
& \multicolumn{1}{|l}{\small Ohm} & \multicolumn{1}{|l|}{$\unit{%
\UNICODE{0x3a9}}$} & \multicolumn{1}{|l|}{$uohm$} \\ \cline{2-4}
\end{tabular}
\bigskip

\begin{tabular}{l|l|l|l|}
\hline
\multicolumn{1}{|l|}{\textsf{Energy}\label{Energy}} & {\small British
thermal unit} & $\unit{Btu}$ & $uBtu$ \\ \hline
& {\small Calorie} & $\unit{cal}$ & $ucal$ \\ \cline{2-4}
& {\small Electron volt} & $\unit{eV}$ & $ueV$ \\ \cline{2-4}
& {\small Erg} & $\unit{erg}$ & $uerg$ \\ \cline{2-4}
& {\small Gigaelectronvolt} & $\unit{GeV}$ & $uGeV$ \\ \cline{2-4}
& {\small Joule} & $\unit{J}$ & $uJ$ \\ \cline{2-4}
& {\small Kilocalorie} & $\unit{kcal}$ & $ukcal$ \\ \cline{2-4}
& {\small Megaelectronvolt} & $\unit{MeV}$ & $uMeV$ \\ \cline{2-4}
& {\small Microjoule} & $\unit{\UNICODE{0x3bc}J}$ & $umcJ$ \\ \cline{2-4}
& {\small Millijoule} & $\unit{mJ}$ & $umJ$ \\ \cline{2-4}
& {\small Nanojoule} & $\unit{nJ}$ & $unJ$ \\ \cline{2-4}
\end{tabular}
\medskip

\begin{tabular}{l|l|l|l|}
\hline
\multicolumn{1}{|l|}{\textsf{Force}\label{Force}} & {\small Dyne} & 
\multicolumn{1}{|l|}{$\unit{dyn}$} & $udyn$ \\ \hline
& {\small Newton} & \multicolumn{1}{|l|}{$\unit{N}$} & $uN$ \\ \cline{2-4}
& {\small Pound} & $\unit{lb}$ & $ulb$ \\ \cline{2-4}
\end{tabular}
\medskip

\begin{tabular}{l|l|l|l|}
\hline
\multicolumn{1}{|l|}{\label{Frequency}\textsf{Frequency}} & {\small Exahertz}
& $\unit{EHz}$ & $uEHz$ \\ \hline
& {\small Gigahertz} & $\unit{GHz}$ & $uGHz$ \\ \cline{2-4}
& {\small Hertz} & $\unit{Hz}$ & $uHz$ \\ \cline{2-4}
& {\small Kilohertz} & $\unit{kHz}$ & $ukHz$ \\ \cline{2-4}
& {\small Megahertz} & $\unit{MHz}$ & $uMHz$ \\ \cline{2-4}
& {\small Petahertz} & $\unit{PHz}$ & $uPHz$ \\ \cline{2-4}
& {\small Terahertz} & $\unit{THz}$ & $uTHz$ \\ \cline{2-4}
\end{tabular}
\medskip

\begin{tabular}{l|l|l|l|}
\hline
\multicolumn{1}{|l|}{\textsf{Illuminance}\label{Illuminance}} & {\small %
Footcandle} & \multicolumn{1}{|l|}{$\unit{fc}$} & $ufc$ \\ \hline
& {\small Lux} & \multicolumn{1}{|l|}{$\unit{lx}$} & $ulx$ \\ \cline{2-4}
& {\small Phot} & $\unit{phot}$ & $uphot$ \\ \cline{2-4}
\end{tabular}
\medskip

\begin{tabular}{l|l|l|l|}
\hline
\multicolumn{1}{|l|}{\textsf{Length}\label{Length}} & {\small Angstrom} & $%
\unit{\AA }$ & $uan$ \\ \hline
& {\small Attometer} & $\unit{am}$ & $uam$ \\ \cline{2-4}
& {\small Centimeter} & $\unit{cm}$ & $ucm$ \\ \cline{2-4}
& {\small Femtometer} & $\unit{fm}$ & $ufm$ \\ \cline{2-4}
& {\small Foot} & $\unit{ft}$ & $uft$ \\ \cline{2-4}
& {\small Inch} & $\unit{in}$ & $uin$ \\ \cline{2-4}
& {\small Kilometer} & $\unit{km}$ & $ukm$ \\ \cline{2-4}
& {\small Meter} & $\unit{m}$ & $ume$ \\ \cline{2-4}
& {\small Micrometer} & $\unit{\UNICODE{0x3bc}m}$ & $umcm$ \\ \cline{2-4}
& {\small Mile} & $\unit{mi}$ & $umi$ \\ \cline{2-4}
& {\small Millimeter} & $\unit{mm}$ & $umm$ \\ \cline{2-4}
& {\small Nanometer} & $\unit{nm}$ & $unm$ \\ \cline{2-4}
& {\small Picometer} & $\unit{pm}$ & $upm$ \\ \cline{2-4}
\end{tabular}
\medskip

\begin{tabular}{llll}
\hline
\multicolumn{1}{|l}{\textsf{Luminance}\label{Luminance}} & 
\multicolumn{1}{|l}{\small Stilb} & \multicolumn{1}{|l|}{$\unit{sb}$} & 
\multicolumn{1}{|l|}{$usb$} \\ \hline
&  &  &  \\ \hline
\multicolumn{1}{|l}{\textsf{Luminous flux}\label{Luminous flux}} & 
\multicolumn{1}{|l}{\small Lumen} & \multicolumn{1}{|l}{$\unit{lm}$} & 
\multicolumn{1}{|l|}{$ulm$} \\ \hline
&  &  &  \\ \hline
\multicolumn{1}{|l}{\label{Luminous intensity}\textsf{Luminous intensity}} & 
\multicolumn{1}{|l}{\small Candela} & \multicolumn{1}{|l|}{$\unit{cd}$} & 
\multicolumn{1}{|l|}{$ucd$} \\ \hline
\end{tabular}
\bigskip

\begin{tabular}{llll}
\hline
\multicolumn{1}{|l}{\textsf{Magnetic flux}\label{Magnetic flux}} & 
\multicolumn{1}{|l}{\small Maxwell} & \multicolumn{1}{|l}{$\unit{Mx}$} & 
\multicolumn{1}{|l|}{$uMx$} \\ \hline
& \multicolumn{1}{|l}{\small Weber} & \multicolumn{1}{|l}{$\unit{Wb}$} & 
\multicolumn{1}{|l|}{$uWb$} \\ \cline{2-4}
&  &  &  \\ \hline
\multicolumn{1}{|l}{\textsf{Magnetic flux density}\label%
{Magnetic flux density}} & \multicolumn{1}{|l}{\small Gauss} & 
\multicolumn{1}{|l}{$\unit{G}$} & \multicolumn{1}{|l|}{$uGa$} \\ \hline
& \multicolumn{1}{|l}{\small Tesla} & \multicolumn{1}{|l}{$\unit{T}$} & 
\multicolumn{1}{|l|}{$uTe$} \\ \cline{2-4}\cline{3-4}
&  &  &  \\ \hline
\multicolumn{1}{|l}{\textsf{Magnetic inductance}\label{Magnetic inductance}}
& \multicolumn{1}{|l}{\small Henry} & \multicolumn{1}{|l}{$\unit{H}$} & 
\multicolumn{1}{|l|}{$uHe$} \\ \hline
\end{tabular}
\bigskip

\begin{tabular}{l|l|l|l|}
\hline
\multicolumn{1}{|l|}{\textsf{Mass}\label{Mass}} & {\small Atomic mass unit}
& \multicolumn{1}{|l|}{$\unit{u}$} & $uu$ \\ \hline
& {\small Gram} & \multicolumn{1}{|l|}{$\unit{g}$} & $ugr$ \\ 
\cline{2-4}\cline{4-4}
& {\small Kilogram} & \multicolumn{1}{|l|}{$\unit{kg}$} & $ukg$ \\ 
\cline{2-4}\cline{4-4}
& {\small Microgram} & \multicolumn{1}{|l|}{$\unit{\UNICODE{0x3bc}g}$} & $%
umcg$ \\ \cline{2-4}\cline{4-4}
& {\small Milligram} & $\unit{mg}$ & $umg$ \\ \cline{2-4}
\end{tabular}
\bigskip

\begin{tabular}{l|l|l|l|}
\hline
\multicolumn{1}{|l|}{\textsf{Plane angle}\label{Plane angle}} & {\small %
Degree} & $\unit{\UNICODE{0xb0}}$ & $udeg$ \\ \hline
& {\small Microradian} & $\unit{\UNICODE{0x3bc}rad}$ & $umcrad$ \\ 
\cline{2-4}
& {\small Milliradian} & $\unit{mrad}$ & $umrad$ \\ \cline{2-4}
& {\small Minute} & $\unit{\UNICODE{0x2032}}$ & $udmn$ \\ \cline{2-4}
& {\small Radian} & $\unit{rad}$ & $urad$ \\ \cline{2-4}
& {\small Second} & $\unit{\UNICODE{0x2033}}$ & $uds$ \\ \cline{2-4}
\end{tabular}
\bigskip

\begin{tabular}{l|l|l|l|}
\hline
\multicolumn{1}{|l|}{\textsf{Power}\label{Power}} & Gigawatt & $\unit{GW}$ & 
$uGW$ \\ \hline
& {\small Horsepower} & $\unit{hp}$ & $uhp$ \\ \cline{2-4}
& Kilowatt & $\unit{kW}$ & $ukW$ \\ \cline{2-4}
& Megawatt & $\unit{MW}$ & $uMW$ \\ \cline{2-4}
& {\small Microwatt} & $\unit{\UNICODE{0x3bc}W}$ & $umcW$ \\ \cline{2-4}
& {\small Milliwatt} & $\unit{mW}$ & $umW$ \\ \cline{2-4}
& {\small Nanowatt} & $\unit{nW}$ & $unW$ \\ \cline{2-4}
& {\small Watt} & $\unit{W}$ & $uWa$ \\ \cline{2-4}
\end{tabular}
\bigskip

\begin{tabular}{l|l|l|l|}
\hline
\multicolumn{1}{|l|}{\textsf{Pressure}\label{Pressure}} & {\small Atmosphere}
& $\unit{atm}$ & $uatm$ \\ \hline
& {\small Bar} & $\unit{bar}$ & $ubar$ \\ \cline{2-4}
& {\small Millibar} & $\unit{mbar}$ & $umbar$ \\ \cline{2-4}
& {\small Pascal} & $\unit{Pa}$ & $uPa$ \\ \cline{2-4}
& {\small Torr} & $\unit{torr}$ & $utorr$ \\ \cline{2-4}
\end{tabular}
\bigskip

\begin{tabular}{llll}
\hline
\multicolumn{1}{|l}{\textsf{Solid angle}\label{Solid angle}} & 
\multicolumn{1}{|l}{\small Steradian} & \multicolumn{1}{|l}{$\unit{sr}$} & 
\multicolumn{1}{|l|}{$usr$} \\ \hline
&  &  &  \\ \hline
\multicolumn{1}{|l}{\textsf{Temperature}\label{Temperature}} & 
\multicolumn{1}{|l}{\small Celsius} & \multicolumn{1}{|l|}{$\unit{%
\UNICODE{0x2103}}$} & \multicolumn{1}{|l|}{$ucel$} \\ \hline
& \multicolumn{1}{|l}{\small Fahrenheit} & \multicolumn{1}{|l|}{$\unit{%
\UNICODE{0x2109}}$} & \multicolumn{1}{|l|}{$ufahr$} \\ \cline{2-4}\cline{4-4}
& \multicolumn{1}{|l}{\small Kelvin} & \multicolumn{1}{|l|}{$\unit{K}$} & 
\multicolumn{1}{|l|}{$uK$} \\ \cline{2-4}\cline{4-4}
\end{tabular}
\bigskip

\begin{tabular}{l|l|l|l|}
\hline
\multicolumn{1}{|l|}{\textsf{Time}\label{Time}} & {\small Attosecond} & $%
\unit{as}$ & $uas$ \\ \hline
& {\small Day} & $\unit{d}$ & $uda$ \\ \cline{2-4}
& {\small Femtosecond} & $\unit{fs}$ & $ufs$ \\ \cline{2-4}
& {\small Hour} & $\unit{h}$ & $uhr$ \\ \cline{2-4}
& {\small Microsecond} & $\unit{\UNICODE{0x3bc}s}$ & $umcs$ \\ \cline{2-4}
& {\small Millisecond} & $\unit{ms}$ & $ums$ \\ \cline{2-4}
& {\small Minute} & $\unit{mn}$ & $umn$ \\ \cline{2-4}
& {\small Nanosecond} & $\unit{ns}$ & $uns$ \\ \cline{2-4}
& {\small Picosecond} & $\unit{ps}$ & $ups$ \\ \cline{2-4}
& {\small Second} & $\unit{s}$ & $use$ \\ \cline{2-4}
& {\small Year} & $\unit{y}$ & $uy$ \\ \cline{2-4}
\end{tabular}
\bigskip

\begin{tabular}{l|l|l|l|}
\hline
\multicolumn{1}{|l|}{\textsf{Volume}} & Cubic foot & $\unit{ft}^{3}$ & $uft$%
\textsc{\ }{\small (insert superscript)} \\ \hline
& Cubic inch & $\unit{in}^{3}$ & $uin$\textsc{\ }{\small (insert superscript)%
} \\ \cline{2-4}
& Cubic meter & $\unit{m}^{3}$ & $ume$\textsc{\ }{\small (insert superscript)%
} \\ \cline{2-4}
& Gallon (US) & $\unit{gal}$ & $ugal$ \\ \cline{2-4}
& Liter & $\unit{l}$ & $uli$ \\ \cline{2-4}
& Quart & $\unit{qt}$ & $uqt$ \\ \cline{2-4}
\end{tabular}

\strut

\begin{quote}
$\blacktriangleright $ To enter compound units \label{Compound units}
\end{quote}

\begin{itemize}
\item  Compound names are written as fractions or products, such as $\dfrac{%
\unit{ft}}{\unit{s}}$, $\unit{ft}\unit{lb}$, and $\unit{acre}\unit{ft}$.
\end{itemize}

\label{User-defined units}You can use \textsf{Math Name} to define
additional unit names. These names will appear gray, the same as a \textsf{%
Math Name} used for a function name.

\begin{quote}
$\blacktriangleright $ To define additional unit names
\end{quote}

\begin{enumerate}
\item  Place the insertion point at the position where you want the unit
name.

\item  Choose \textsf{Insert + Math Name}

\item  Type the name you want in the \textsf{Name} box and choose \textsf{OK}%
.

\item  Enter a defining equation, using one of the available units.

\item  With the insertion point in the equation, choose \textsf{Define + New
Definition}.
\end{enumerate}

\begin{quote}
$\blacktriangleright $ \textsf{Define + New Definition}
\end{quote}

\begin{quotation}
$\limfunc{century}=100\unit{y}$

$\limfunc{decade}=10\unit{y}$
\end{quotation}

\begin{quote}
$\blacktriangleright $ \textsf{Solve + Exact}
\end{quote}

\begin{quotation}
$x\limfunc{decade}=2\limfunc{century}$, Solution is : $\left\{ x=20\right\} $
\end{quotation}

You can break the newly defined units down to their base SI\ components.

\begin{quote}
$\blacktriangleright $ \textsf{Evaluate}
\end{quote}

\begin{quotation}
$5\limfunc{century}=\allowbreak 1\,57784\,63000\unit{s}$

$\frac{1}{2}\limfunc{decade}=\allowbreak 157784630\unit{s}$
\end{quotation}

\strut

\subsection{\ Arithmetic Operations With Units\label{Arithmetic operations}}

You can carry out normal arithmetic operations with units using \textsf{%
Evaluate}. If the units differ, the results will be returned in terms of the
basic unit in the category. Measurements will be returned in the metric
system.

\begin{quote}
$\blacktriangleright $ \textsf{Evaluate}
\end{quote}

\begin{quotation}
$6\unit{ft}+8\unit{ft}=\allowbreak 14\unit{ft}\medskip $

$6\unit{ft}\times 8\unit{ft}\medskip =\allowbreak 48\unit{ft}^{2}$

$4\unit{ft}+16\unit{in}=\allowbreak 1.\,\allowbreak 625\,6\unit{m}\medskip $

$4\unit{d}+3\unit{mi}\medskip =\allowbreak 345\,600\unit{s}+4827.0\unit{m}$

$10\unit{A}\times 5\unit{T}\medskip =\allowbreak 50\unit{A}\unit{T}$

$\dfrac{10\unit{mi}}{15\unit{s}}=\allowbreak \frac{2}{3}\dfrac{\unit{mi}}{%
\unit{s}}$
\end{quotation}

\paragraph{\strut}

\subsection{\ Converting Units\label{Converting units}}

You can convert from one unit to another using \textsf{Solve + Exact}.

\begin{quote}
$\blacktriangleright $ To convert units
\end{quote}

\begin{itemize}
\item  With the insertion point in an equation of the form $47\unit{lb}=x%
\unit{kg}$, choose \textsf{Solve + Exact\medskip }.

- or -\medskip

\item  With the insertion point in an equation of the form $47\frac{\unit{lb}%
}{\unit{kg}}=x$, choose \textsf{Solve + Exact}.
\end{itemize}

\begin{quote}
$\blacktriangleright $ \textsf{Solve + Exact}
\end{quote}

\begin{quotation}
$47\unit{lb}=x\unit{kg}$, Solution is : $\left\{ x=209.\,07\frac{\unit{m}}{%
\unit{s}^{2}}\right\} \medskip $

$47\frac{\unit{lb}}{\unit{kg}}=x$, Solution is : $\left\{
x=209.\,\allowbreak 07\frac{\unit{m}}{\unit{s}^{2}}\right\} \medskip $

$7\unit{ft}=x\unit{in}$, Solution is : $\left\{ x=84.0\right\} \medskip $

$7\frac{\unit{ft}}{\unit{in}}=x$, Solution is : $\left\{ x=84.0\right\}
\medskip $

$7\unit{ft}=x\unit{m}$, Solution is : $\left\{ x=2.\,1336\right\} \medskip $

$60\frac{\unit{mi}}{\unit{h}}=x\frac{\unit{ft}}{\unit{s}}$, Solution is : $%
\left\{ x=87.\,981\right\} \medskip $

$60\frac{\unit{mi}}{\unit{h}}=x\frac{\unit{km}}{\unit{h}}$, Solution is : $%
\left\{ x=96.\,54\right\} \medskip $

$1\unit{acre}\unit{ft}=x\unit{gal}$, Solution is : $\left\{
x=3.\,\allowbreak 258\,5\times 10^{5}\right\} $
\end{quotation}

\begin{quote}
$\blacktriangleright $ Define + New Definition
\end{quote}

\begin{quotation}
$G=9.8\frac{\unit{m}}{\unit{s}^{2}}$
\end{quotation}

\begin{quote}
$\blacktriangleright $ Solve + Exact
\end{quote}

\begin{quotation}
$x\unit{lb}=G\unit{kg}$, Solution is : $\left\{ x=2.\,2031\right\} $
\end{quotation}

\strut

\subsection{\ Related topics}

\begin{itemize}
\item  \hyperref{Basic Guidelines for Computing}{}{}{DM1-3.tex#Evaluating
Expressions}

\item  \hyperref{Integers and Fractions}{}{}{DM2-1.tex#Numbers}

\item  \hyperref{Real Numbers}{}{}{DM2-3.tex#Basic operations}

\item  \hyperref{Exercises and Solutions}{}{}{DM2-7.tex#Exercises}
\end{itemize}

\rule{0.67in}{0.01in}

\hyperref{\FRAME{itbpF}{38.875pt}{24.5pt}{6pt}{}{}{index.wmf}{\special%
{language "Scientific Word";type "GRAPHIC";maintain-aspect-ratio
TRUE;display "PICT";valid-file "F";width 38.875pt;height 24.5pt;depth
6pt;original-width 36.125pt;original-height 22.5625pt;cropleft "0";croptop
"1";cropright "1";cropbottom "0";filename 'index.wmf';file-properties
"XNPEU";}}}{}{}{DMIndex.tex#Math Index}\quad {\small Index entries: 
\hyperref{Define}{}{}{DMIndex.tex#Define}, \hyperref{Evaluate}{}{}{%
DMIndex.tex#Evaluate}, \hyperref{Math names}{}{}{DMIndex.tex#Math name}, 
\hyperref{Solve}{}{}{DMIndex.tex#Solve}, \hyperref{Units}{}{}{%
DMIndex.tex#Units}}

\end{document}
