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Evaluate
372567
Steps For Long Multiplication
699 * 533
First line up the numbers vertically and match the places from the right like this.
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times999}699\\\underline{\times\phantom{999}533}\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 699 with 3. Write the result 2097 at the end leaving 0 spaces to the right like this.
Now multiply the first number with the digit in number to get intermediate results. That is Multiply 699 with 3. Write the result 2097 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times999}699\\\underline{\times\phantom{999}533}\\\phantom{\times99}2097\\\end{array}
Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 699 with 3. Write the result 2097 at the end leaving 1 spaces to the right like this.
Now multiply the first number with the digit in number to get intermediate results. That is Multiply 699 with 3. Write the result 2097 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times999}699\\\underline{\times\phantom{999}533}\\\phantom{\times99}2097\\\phantom{\times9}2097\phantom{9}\\\end{array}
Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 699 with 5. Write the result 3495 at the end leaving 2 spaces to the right like this.
Now multiply the first number with the digit in number to get intermediate results. That is Multiply 699 with 5. Write the result 3495 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times999}699\\\underline{\times\phantom{999}533}\\\phantom{\times99}2097\\\phantom{\times9}2097\phantom{9}\\\underline{\phantom{\times}3495\phantom{99}}\\\end{array}
Now add the intermediate results to get final answer.
Now add the intermediate results to get final answer.
\begin{array}{c}\phantom{\times999}699\\\underline{\times\phantom{999}533}\\\phantom{\times99}2097\\\phantom{\times9}2097\phantom{9}\\\underline{\phantom{\times}3495\phantom{99}}\\\phantom{\times}372567\end{array}
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\begin{array}{c}\phantom{\times999}699\\\underline{\times\phantom{999}533}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times999}699\\\underline{\times\phantom{999}533}\\\phantom{\times99}2097\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 699 with 3. Write the result 2097 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times999}699\\\underline{\times\phantom{999}533}\\\phantom{\times99}2097\\\phantom{\times9}2097\phantom{9}\\\end{array}
Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 699 with 3. Write the result 2097 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times999}699\\\underline{\times\phantom{999}533}\\\phantom{\times99}2097\\\phantom{\times9}2097\phantom{9}\\\underline{\phantom{\times}3495\phantom{99}}\\\end{array}
Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 699 with 5. Write the result 3495 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times999}699\\\underline{\times\phantom{999}533}\\\phantom{\times99}2097\\\phantom{\times9}2097\phantom{9}\\\underline{\phantom{\times}3495\phantom{99}}\\\phantom{\times}372567\end{array}
Now add the intermediate results to get final answer.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { - 1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}
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