\left. \begin{array} { l } { 3 \times 480 } \\ { 3 \times 325 } \\ { 5 \times 200 } \\ { 1 \times 450 } \\ { 1 \times 390 } \\ { 1 \times 400 } \\ { 1 \times 360 } \end{array} \right.
Sort
360,390,400,450,975,1000,1440
Evaluate
1440,\ 975,\ 1000,\ 450,\ 390,\ 400,\ 360
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sort(1440,3\times 325,5\times 200,1\times 450,1\times 390,1\times 400,1\times 360)
Multiply 3 and 480 to get 1440.
sort(1440,975,5\times 200,1\times 450,1\times 390,1\times 400,1\times 360)
Multiply 3 and 325 to get 975.
sort(1440,975,1000,1\times 450,1\times 390,1\times 400,1\times 360)
Multiply 5 and 200 to get 1000.
sort(1440,975,1000,450,1\times 390,1\times 400,1\times 360)
Multiply 1 and 450 to get 450.
sort(1440,975,1000,450,390,1\times 400,1\times 360)
Multiply 1 and 390 to get 390.
sort(1440,975,1000,450,390,400,1\times 360)
Multiply 1 and 400 to get 400.
sort(1440,975,1000,450,390,400,360)
Multiply 1 and 360 to get 360.
1440
To sort the list, start from a single element 1440.
975,1440
Insert 975 to the appropriate location in the new list.
975,1000,1440
Insert 1000 to the appropriate location in the new list.
450,975,1000,1440
Insert 450 to the appropriate location in the new list.
390,450,975,1000,1440
Insert 390 to the appropriate location in the new list.
390,400,450,975,1000,1440
Insert 400 to the appropriate location in the new list.
360,390,400,450,975,1000,1440
Insert 360 to the appropriate location in the new list.
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}