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\newtheorem{theorem}{Theorem}
\newtheorem{acknowledgement}[theorem]{Acknowledgement}
\newtheorem{algorithm}[theorem]{Algorithm}
\newtheorem{axiom}[theorem]{Axiom}
\newtheorem{case}[theorem]{Case}
\newtheorem{claim}[theorem]{Claim}
\newtheorem{conclusion}[theorem]{Conclusion}
\newtheorem{condition}[theorem]{Condition}
\newtheorem{conjecture}[theorem]{Conjecture}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{criterion}[theorem]{Criterion}
\newtheorem{definition}[theorem]{Definition}
\newtheorem{example}[theorem]{Example}
\newtheorem{exercise}{Exercise}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{notation}[theorem]{Notation}
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\pagestyle{fancy}
\lhead{\color{blue} \large Lecture Notes}
\chead{\color{black} \LARGE OOO with Natural Nombers}
\rhead{\large page   \ \thepage}
\cfoot{}
\lfoot{\small   \copyright $\;$ copyright  Hidegkuti,   2014}
\rfoot{\small Last revised: January 6, 2014}
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\begin{document}


\begin{center}
{\LARGE Question 1}\bigskip
\end{center}

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\begin{enumerate}
\item $20-2\cdot 3=~~~14\medskip $

\item $24-3\cdot 5=~~~9\medskip $

\item $18-7\cdot 2=~~~4\medskip $

\item $33-4\cdot 7=~~~5\medskip $

\item $19-3\cdot 4=~~~7\medskip $

\item $21-2\cdot 5=~~~11\medskip $

\item $42-5\cdot 8=~~~2\medskip $

\item $30-6\cdot 4=~~~6\medskip $

\item $28-9\cdot 3=~~~1\medskip $

\item $20-3\cdot 4=~~~8\medskip $\pagebreak \bigskip 
\end{enumerate}

\begin{center}
\bigskip

\bigskip

{\LARGE Question 2}\bigskip
\end{center}

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\begin{enumerate}
\item $\left( -1\right) ^{2}=$ \ and \ $-1^{2}=\medskip $

\item $\left( -2\right) ^{2}=$ \ and \ $-2^{2}=\medskip $

\item $\left( -3\right) ^{2}=$ \ and \ $-3^{2}=\medskip $

\item $\left( -4\right) ^{2}=$ \ and \ $-4^{2}=\medskip $

\item $\left( -5\right) ^{2}=$ \ and $-5^{2}=\medskip $

\item $\left( -6\right) ^{2}=$ \ and \ $-6^{2}=\medskip $

\item $\left( -7\right) ^{2}=$ \ and \ $-7^{2}=\medskip $

\item $\left( -8\right) ^{2}=$ \ and \ $-8^{2}=\medskip $

\item $\left( -9\right) ^{2}=$ \ and \ $-9^{2}=\medskip $

\item $\left( -10\right) ^{2}=$ \ and \ $-10^{2}=\medskip $
\end{enumerate}

\pagebreak

\begin{center}
{\LARGE Question 3}\bigskip
\end{center}

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\begin{enumerate}
\item $\left( -1\right) ^{3}=~~~-1\medskip $

\item $-1^{3}=~~~-1\medskip $

\item $\left( -1\right) ^{4}=~~~1\medskip $

\item $-1^{4}=~~~-1\medskip $

\item $\left( -1\right) ^{5}=~~~-1\medskip $

\item $-1^{5}=~~~-1\medskip $

\item $\left( -1\right) ^{6}=~~~1\medskip $

\item $-1^{6}=~~~-1\medskip $

\item $\left( -1\right) ^{7}=~~~-1\medskip $

\item $-1^{7}=~~~-1\medskip $

\item $\left( -1\right) ^{8}=~~~1\medskip $

\item $-1^{8}=~~~-1\medskip $

\item $\left( -1\right) ^{9}=~~~-1\medskip $

\item $-1^{9}=~~~-1\medskip $

\item $\left( -1\right) ^{10}=~~~1\medskip $

\item $-1^{10}=~~~-1\medskip $

\item $\left( -2\right) ^{3}=~~~-8\medskip $

\item $-2^{3}=~~~-8\medskip $

\item $\left( -2\right) ^{4}=~~~16\medskip $

\item $-2^{4}=~~~-16\medskip $

\item $\left( -2\right) ^{5}=~~~-32\medskip $

\item $-2^{5}=~~~-32\medskip $

\item $\left( -3\right) ^{3}=~~~-27\medskip $

\item $-3^{3}=~~~-27\medskip $ \ 
\end{enumerate}

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\pagebreak

\begin{center}
{\LARGE Question 4}

\bigskip
\end{center}

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\begin{enumerate}
\item $2-3\left( -5\right) =~~~~17\medskip $

\item $6-2\left( -5\right) =~~~~16\medskip $

\item $8-5\left( -2\right) =~~~~18\medskip $

\item $-3-2\left( -4\right) =~~~~5\medskip $

\item $-1-3\left( -8\right) =~~~~23\medskip $

\item $5-2\left( -3\right) =~~~~11\medskip $

\item $-4-3\left( -6\right) =~~~~14\medskip $

\item $2-2\left( -5\right) =~~~~12\medskip $

\item $3-5\left( -2\right) =~~~~13\medskip $

\item $-7-2\left( -5\right) =~~~~3\medskip $\bigskip
\end{enumerate}

\pagebreak

\begin{center}
{\LARGE Question 5}

\bigskip
\end{center}

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\begin{enumerate}
\item $15-\left( -2\right) ^{2}=~~~11\medskip $

\item $8-\left( -5\right) ^{2}=~~~-17\medskip $

\item $-2-\left( -3\right) ^{2}=~~~-11\medskip $

\item $2-\left( -2\right) ^{2}=~~~-2\medskip $

\item $10-\left( -4\right) ^{2}=~~~-6\medskip $

\item $5-\left( -1\right) ^{2}=~~~4\medskip $

\item $-3-\left( -2\right) ^{2}=~~~-7\medskip $

\item $5-\left( -5\right) ^{2}=~~~-20\medskip $

\item $10-\left( -3\right) ^{2}=~~~1\medskip $

\item $3-\left( -3\right) ^{2}=~~~-6\medskip $
\end{enumerate}

\bigskip \pagebreak

\begin{center}
{\LARGE Question 6}

\bigskip \bigskip
\end{center}

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\begin{enumerate}
\item $-3+2\left[ 5-\left( 3-7\right) \right] =~~~~15\medskip $

\item $-1-2\left[ 3-\left( 8-2\right) \right] =5\medskip $

\item $4+3\left[ 8-\left( 2-7\right) \right] =~~~43\medskip $

\item $6-2\left[ 3-\left( -2-5\right) \right] =~~~-14\medskip $

\item $1+2\left[ 3-\left( 4-5\right) \right] =~~~~9\medskip $

\item $5-2\left[ 7-\left( 8-10\right) \right] =~~~~-13\medskip $

\item $5-8\left[ -1-\left( 3-6\right) \right] =~~~~-11\medskip $

\item $4+2\left[ 12-\left( -3-7\right) \right] =~~~~48\medskip $

\item $7-2\left[ 10-\left( 1-7\right) \right] =~~~~-25\medskip $

\item $8-2\left[ 5-\left( 3-4\right) \right] =~~~~-4\medskip $
\end{enumerate}

\end{document}