BreakNum, C# - rextester

BreakNum

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//Rextester.Program.Main is the entry point for your code. Don't change it.
//Compiler version 4.0.30319.17929 for Microsoft (R) .NET Framework 4.5

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text.RegularExpressions;
using System.Threading;

namespace Rextester
{
    public class Program
    {
        public static void Main(string[] args)
        {
            //Your code goes here
            BreakNum();
            
        }
        
        public static void BreakNum() {
        
            string title = "Adding by Breaking Numbers (2)";
            List<string> question = new List<string>();
            for (int i = 0; i < 200; i++) {
                
                int left = Rand.Next(11,100);
                int right = Rand.Next(11,100);
            
                //if (left + right <100 && left%10!=0 && right%10!=0) {
                if (left + right <100 && left%10!=0 && right%10!=0) {
                    
                    
                    if (left>=right) {
                        
                        question.AddRange(BreakLeft(left,right));
                    }
                    
                    else question.AddRange(BreakRight(left,right));
                }
                
                
            }
            
            //Console.WriteLine(question.Count());
            PrintBreakNum(question,title);
        }
        
        
        public static void PrintBreakNum<T>(List<T> list, string title) {
        
        
        string[] op = new string[2] {"(", ")("};
        //string end = ")=\\)";
        
            for (int i=0; i<list.Count(); i++){
                        
                if(i==0){
    
                    Console.WriteLine("\\begin{figure}[ht!]");
                    Console.WriteLine("\\vspace{-23mm}\\hspace*{-33mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                    Console.WriteLine("\\end{figure}");
                    Console.WriteLine();
                    Console.WriteLine("\\vspace{-15mm}\\hspace*{-10mm}\\begingroup");
                    Console.WriteLine("\\centering");
                    Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                    Console.WriteLine("\\endgroup");
                    Console.WriteLine();
                    Console.WriteLine("\\begin{multicols}{2}");
                    Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
    
                
                }
                Console.WriteLine(list[i]);
                   
                if (i!=0 && (i+1)%182==0){ //13 lines per question, 14 questions => 182 lines
                  
                    
                    Console.WriteLine("\\end{enumerate}");
                    Console.WriteLine("\\end{multicols}");
                    Console.WriteLine();
                    Console.WriteLine("\\newpage");
                    Console.WriteLine();
                    Console.WriteLine("\\begin{figure}[ht!]");
                    Console.WriteLine("\\vspace{-23mm}\\hspace*{-23mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                    Console.WriteLine("\\end{figure}");
                    Console.WriteLine();
                    Console.WriteLine("\\vspace{-15mm}\\hspace*{-10mm}\\begingroup");
                    Console.WriteLine("\\centering");
                    Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                    Console.WriteLine("\\endgroup");
                    Console.WriteLine();
                    Console.WriteLine("\\begin{multicols}{2}");
                    Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                }
            }
        }
        
        public static List<string> BreakRight(int left, int right){
            List<string> args = new List<string>();
            args.Add("\\item \\leavevmode\\vadjust{\\vspace{-\\baselineskip}}\\newline");
            args.Add("    \\begin{tikzpicture}[remember picture]");
            args.Add("        \\node{$\\tikznode{n9}{"+left+"}+\\tikznode{n7}{"+right+"}=\\tikznode[boxed]{n16}{\\phantom{\\frac{10}{20}}}$};");
            args.Add("        \\node[boxed,above left=2mm and 2mm of n7] (n1) {\\phantom{10}};");
            args.Add("        \\node[boxed,above right=2mm and 2mm of n7] (n6) {\\phantom{10}};");
            args.Add("        \\node[boxed,above=13mm of n7] (n10) {\\phantom{10}};");
            args.Add("        \\draw[shrt] (n1) -- (n7);");
            args.Add("        \\draw[shrt] (n6) -- (n7);");
            args.Add("        \\draw[shrt] (n10.south east) -- (n6);");
            args.Add("        \\node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {};");
            args.Add("        \\draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north);");
            args.Add("        \\draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north);");
            args.Add("    \\end{tikzpicture}");
            
            return args;
            
        }
        
        public static List<string> BreakLeft(int left, int right){
            List<string> args = new List<string>();
            args.Add("\\item \\leavevmode\\vadjust{\\vspace{-\\baselineskip}}\\newline");
            args.Add("    \\begin{tikzpicture}[remember picture]");
            args.Add("        \\node{$\\tikznode{n9}{"+left+"}+\\tikznode{n7}{"+right+"}=\\tikznode[boxed]{n16}{\\phantom{\\frac{10}{20}}}$};");
            args.Add("        \\node[boxed,above left=2mm and 2mm of n9] (n1) {\\phantom{10}};");
            args.Add("        \\node[boxed,above right=2mm and 2mm of n9] (n6) {\\phantom{10}};");
            args.Add("        \\node[boxed,above=13mm of n9] (n10) {\\phantom{10}};");
            args.Add("        \\draw[shrt] (n1) -- (n9);");
            args.Add("        \\draw[shrt] (n6) -- (n9);");
            args.Add("        \\draw[shrt] (n10.south west) -- (n1);");
            args.Add("        \\node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {};");
            args.Add("        \\draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north);");
            args.Add("        \\draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north);");
            args.Add("    \\end{tikzpicture}");
            
            return args;
            
        }
        
        public static class Rand
    { 
        /// <summary> 
        /// Random number generator used to generate seeds, 
        /// which are then used to create new random number 
        /// generators on a per-thread basis. 
        /// </summary> 
        private static readonly Random globalRandom = new Random(); 
        private static readonly object globalLock = new object();

/// <summary> 
        /// Random number generator 
        /// </summary> 
        private static readonly ThreadLocal<Random> threadRandom = new ThreadLocal<Random>(NewRandom);

/// <summary> 
        /// Creates a new instance of Random. The seed is derived 
        /// from a global (static) instance of Random, rather 
        /// than time. 
        /// </summary> 
        public static Random NewRandom() 
        { 
            lock (globalLock) 
            { 
                return new Random(globalRandom.Next()); 
            } 
        }

/// <summary> 
        /// Returns an instance of Random which can be used freely 
        /// within the current thread. 
        /// </summary> 
        public static Random Instance { get { return threadRandom.Value; } }

/// <summary>See <see cref="Random.Next()" /></summary> 
        public static int Next() 
        { 
            return Instance.Next(); 
        }

/// <summary>See <see cref="Random.Next(int)" /></summary> 
        public static int Next(int maxValue) 
        { 
            return Instance.Next(maxValue); 
        }

/// <summary>See <see cref="Random.Next(int, int)" /></summary> 
        public static int Next(int minValue, int maxValue) 
        { 
            return Instance.Next(minValue, maxValue); 
        }

/// <summary>See <see cref="Random.NextDouble()" /></summary> 
        public static double NextDouble() 
        { 
            return Instance.NextDouble(); 
        }

/// <summary>See <see cref="Random.NextBytes(byte[])" /></summary> 
        public static void NextBytes(byte[] buffer) 
        { 
            Instance.NextBytes(buffer); 
        } 
        
        public static double NextD(double minValue, double maxValue) {
            
            return Instance.NextDouble()*(maxValue-minValue)+minValue;
        }
    } 
    }
}

Show compiler warnings [ + ] Show input
Compilation time: 0,17 sec, absolute running time: 0,28 sec, cpu time: 0,08 sec, average memory usage: 19 Mb, average nr of threads: 5

\begin{figure}[ht!] \vspace{-23mm}\hspace*{-33mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\hspace*{-10mm}\begingroup \centering \LARGE Adding by Breaking Numbers (2) \\[0.5em] \endgroup \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{19}+\tikznode{n7}{15}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{18}+\tikznode{n7}{63}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{46}+\tikznode{n7}{13}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{75}+\tikznode{n7}{17}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{72}+\tikznode{n7}{13}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{28}+\tikznode{n7}{26}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{12}+\tikznode{n7}{16}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{33}+\tikznode{n7}{21}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{14}+\tikznode{n7}{27}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{67}+\tikznode{n7}{11}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{19}+\tikznode{n7}{65}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{35}+\tikznode{n7}{17}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{31}+\tikznode{n7}{41}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{46}+\tikznode{n7}{24}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \end{enumerate} \end{multicols} \newpage \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\hspace*{-10mm}\begingroup \centering \LARGE Adding by Breaking Numbers (2) \\[0.5em] \endgroup \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{29}+\tikznode{n7}{34}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{41}+\tikznode{n7}{23}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{49}+\tikznode{n7}{28}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{13}+\tikznode{n7}{37}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{17}+\tikznode{n7}{21}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{54}+\tikznode{n7}{16}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{33}+\tikznode{n7}{22}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{12}+\tikznode{n7}{24}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{47}+\tikznode{n7}{13}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{56}+\tikznode{n7}{32}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{77}+\tikznode{n7}{18}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{32}+\tikznode{n7}{42}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{46}+\tikznode{n7}{46}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{53}+\tikznode{n7}{39}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \end{enumerate} \end{multicols} \newpage \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\hspace*{-10mm}\begingroup \centering \LARGE Adding by Breaking Numbers (2) \\[0.5em] \endgroup \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{29}+\tikznode{n7}{54}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{18}+\tikznode{n7}{16}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{16}+\tikznode{n7}{74}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{26}+\tikznode{n7}{54}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{22}+\tikznode{n7}{35}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{21}+\tikznode{n7}{59}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{48}+\tikznode{n7}{34}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{16}+\tikznode{n7}{69}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{31}+\tikznode{n7}{39}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{44}+\tikznode{n7}{16}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{15}+\tikznode{n7}{51}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{29}+\tikznode{n7}{66}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{64}+\tikznode{n7}{16}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{47}+\tikznode{n7}{37}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \end{enumerate} \end{multicols} \newpage \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\hspace*{-10mm}\begingroup \centering \LARGE Adding by Breaking Numbers (2) \\[0.5em] \endgroup \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{65}+\tikznode{n7}{15}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{19}+\tikznode{n7}{65}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{31}+\tikznode{n7}{16}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{53}+\tikznode{n7}{28}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{52}+\tikznode{n7}{41}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{29}+\tikznode{n7}{37}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{45}+\tikznode{n7}{46}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{47}+\tikznode{n7}{11}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{54}+\tikznode{n7}{15}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{71}+\tikznode{n7}{13}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{18}+\tikznode{n7}{41}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{19}+\tikznode{n7}{53}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{46}+\tikznode{n7}{35}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{29}+\tikznode{n7}{31}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \end{enumerate} \end{multicols} \newpage \begin{figure}[ht!] \vspace{-23mm}\hspace*{-23mm}\includegraphics[scale=0.9]{Logo.jpg} \end{figure} \vspace{-15mm}\hspace*{-10mm}\begingroup \centering \LARGE Adding by Breaking Numbers (2) \\[0.5em] \endgroup \begin{multicols}{2} \begin{enumerate}[label=\arabic*)] \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{28}+\tikznode{n7}{24}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{21}+\tikznode{n7}{21}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{66}+\tikznode{n7}{12}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{23}+\tikznode{n7}{41}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{43}+\tikznode{n7}{18}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{69}+\tikznode{n7}{15}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{39}+\tikznode{n7}{16}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{12}+\tikznode{n7}{46}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{24}+\tikznode{n7}{19}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{31}+\tikznode{n7}{49}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{31}+\tikznode{n7}{51}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n7] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n7] (n6) {\phantom{10}}; \node[boxed,above=13mm of n7] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n7); \draw[shrt] (n6) -- (n7); \draw[shrt] (n10.south east) -- (n6); \node[ellipse,draw,fit=(n1) (n9),inner sep=1pt] (n1n9) {}; \draw[shrt] ([x-]n10.south west) -- ([x-]n1n9.north); \draw[shrt] ([x+]n10.south west) -- ([x+]n1n9.north); \end{tikzpicture} \item \leavevmode\vadjust{\vspace{-\baselineskip}}\newline \begin{tikzpicture}[remember picture] \node{$\tikznode{n9}{47}+\tikznode{n7}{19}=\tikznode[boxed]{n16}{\phantom{\frac{10}{20}}}$}; \node[boxed,above left=2mm and 2mm of n9] (n1) {\phantom{10}}; \node[boxed,above right=2mm and 2mm of n9] (n6) {\phantom{10}}; \node[boxed,above=13mm of n9] (n10) {\phantom{10}}; \draw[shrt] (n1) -- (n9); \draw[shrt] (n6) -- (n9); \draw[shrt] (n10.south west) -- (n1); \node[ellipse,draw,fit=(n6) (n7),inner sep=1pt] (n6n7) {}; \draw[shrt] ([x-]n10.south east) -- ([x-]n6n7.north); \draw[shrt] ([x+]n10.south east) -- ([x+]n6n7.north); \end{tikzpicture}