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AC

log

ln

(

)

7

8

9

τ

π

4

5

6

≤

≥

%

θ

1

2

3

<

>

x

i

0

.

y

Evaluate

372567

$372567$

Steps For Long Multiplication

699 * 533

$699∗533$

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}

$×999699×999533 $

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 $1_{st}$ 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\\\end{array}

$×999699×999533 ×992097 $

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 $2_{nd}$ 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}\\\end{array}

$×999699×999533 ×992097×920979 $

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 $3_{rd}$ 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}}\\\end{array}

$×999699×999533 ×992097×920979×349599 $

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}

$×999699×999533 ×992097×920979×349599 ×372567 $

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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

$x_{2}−4x−5=0$

Trigonometry

4 \sin \theta \cos \theta = 2 \sin \theta

$4sinθcosθ=2sinθ$

Linear equation

y = 3x + 4

$y=3x+4$

Arithmetic

699 * 533

$699∗533$

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]

$[25 34 ][2−1 01 35 ]$

Simultaneous equation

\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.

${8x+2y=467x+3y=47 $

Differentiation

\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }

$dxd (x−5)(3x_{2}−2) $

Integration

\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x

$∫_{0}xe_{−x_{2}}dx$

Limits

\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}

$x→−3lim x_{2}+2x−3x_{2}−9 $

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