\left. \begin{array} { l } { 470 \times 10 } \\ { 620 \times 5 } \\ { 1020 \times 11 } \\ { 1050 \times 3 } \end{array} \right.
Sort
3100,3150,4700,11220
Evaluate
4700,\ 3100,\ 11220,\ 3150
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sort(4700,620\times 5,1020\times 11,1050\times 3)
Multiply 470 and 10 to get 4700.
sort(4700,3100,1020\times 11,1050\times 3)
Multiply 620 and 5 to get 3100.
sort(4700,3100,11220,1050\times 3)
Multiply 1020 and 11 to get 11220.
sort(4700,3100,11220,3150)
Multiply 1050 and 3 to get 3150.
4700
To sort the list, start from a single element 4700.
3100,4700
Insert 3100 to the appropriate location in the new list.
3100,4700,11220
Insert 11220 to the appropriate location in the new list.
3100,3150,4700,11220
Insert 3150 to the appropriate location in the new list.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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}