Basic Operations

1.6 Basic Operations
 
   
We will learn to solve basic mathematical operations.  
   
ADDITION (+)  
   
FOR EXAMPLE:  
\(3\,142+73+14\,572=\color{magenta}{17 \,787}\)  
   
Step 1:
\(\begin{array}{rr} \small{\color{red}{1}}\quad\space\space\space \\3\,\space\space1\space4\space2 \\+\quad\quad\space\space\space7\space3 \\\hline3\,\space\space2\space1\space5\\\hline \end{array} \)
 
   
Step 2:
\(\begin{array}{rr} 1\space4\,\space\space5\space7\space2 \\+\quad\quad3\,\space\space2\space1\space5 \\\hline1\space7\,\space\space7\space8\space7\\\hline \end{array} \)
 
   
SUBTRACTION (-)  
   
FOR EXAMPLE:  
\(92\,085-57\,956=\color{magenta}{34 \,129}\)  
   
\(\begin{array}{rr} \small{\color{green}{11}}\quad\quad\quad\space\space\space \\\small{\color{red}{8}}\space\space\space\cancel{\small{\color{green}{1}}}\,\space\space\small{\color{red}{10}}\space\space\small{\color{green}{7}}\space\small{\color{red}{15}} \\\cancel{9}\space\space\cancel{2}\,\space\space\space\cancel{0}\space\space\cancel{8}\space\space\cancel{5} \\-\quad\quad\quad5\space\space7\,\space\space\space9\space\space5\space\space6 \\\hline3\space\space4\,\space\space\space1\space\space2\space\space9 \\\hline \end{array}\)  
   
MULTIPLICATION (\(\times\))  
   
FOR EXAMPLE:  
\(728\times28=\color{magenta}{20 \,384}\)  
\(\begin{array}{rr} \small{\color{green}{1}}\space\space\space\, \\\small{\color{red}{2}}\space\space\small{\color{green}{6}}\space\space\space\, \\7\space2\space8 \\\times\quad\quad\quad\space\space\,2\space8 \\\hline5\,\space\space8\space2\space4 \\+\quad1\space4\,\space\space5\space6\space\space\space \\\hline2\space0\,\space\space3\space8\space4 \\\hline \end{array}\)  
   
DIVISION (\(\div\))  
   
FOR EXAMPLE:  
\(62\,510\div10=\color{magenta}{6 \,251}\)  
   
\(\begin{aligned} 62\,510\div10&=\dfrac{62\,51\cancel{0}}{1\cancel{0}} \\&={\color{magenta}{6\,251}} \end{aligned}\)  
   

 

Basic Operations

1.6 Basic Operations
 
   
We will learn to solve basic mathematical operations.  
   
ADDITION (+)  
   
FOR EXAMPLE:  
\(3\,142+73+14\,572=\color{magenta}{17 \,787}\)  
   
Step 1:
\(\begin{array}{rr} \small{\color{red}{1}}\quad\space\space\space \\3\,\space\space1\space4\space2 \\+\quad\quad\space\space\space7\space3 \\\hline3\,\space\space2\space1\space5\\\hline \end{array} \)
 
   
Step 2:
\(\begin{array}{rr} 1\space4\,\space\space5\space7\space2 \\+\quad\quad3\,\space\space2\space1\space5 \\\hline1\space7\,\space\space7\space8\space7\\\hline \end{array} \)
 
   
SUBTRACTION (-)  
   
FOR EXAMPLE:  
\(92\,085-57\,956=\color{magenta}{34 \,129}\)  
   
\(\begin{array}{rr} \small{\color{green}{11}}\quad\quad\quad\space\space\space \\\small{\color{red}{8}}\space\space\space\cancel{\small{\color{green}{1}}}\,\space\space\small{\color{red}{10}}\space\space\small{\color{green}{7}}\space\small{\color{red}{15}} \\\cancel{9}\space\space\cancel{2}\,\space\space\space\cancel{0}\space\space\cancel{8}\space\space\cancel{5} \\-\quad\quad\quad5\space\space7\,\space\space\space9\space\space5\space\space6 \\\hline3\space\space4\,\space\space\space1\space\space2\space\space9 \\\hline \end{array}\)  
   
MULTIPLICATION (\(\times\))  
   
FOR EXAMPLE:  
\(728\times28=\color{magenta}{20 \,384}\)  
\(\begin{array}{rr} \small{\color{green}{1}}\space\space\space\, \\\small{\color{red}{2}}\space\space\small{\color{green}{6}}\space\space\space\, \\7\space2\space8 \\\times\quad\quad\quad\space\space\,2\space8 \\\hline5\,\space\space8\space2\space4 \\+\quad1\space4\,\space\space5\space6\space\space\space \\\hline2\space0\,\space\space3\space8\space4 \\\hline \end{array}\)  
   
DIVISION (\(\div\))  
   
FOR EXAMPLE:  
\(62\,510\div10=\color{magenta}{6 \,251}\)  
   
\(\begin{aligned} 62\,510\div10&=\dfrac{62\,51\cancel{0}}{1\cancel{0}} \\&={\color{magenta}{6\,251}} \end{aligned}\)