\left. \begin{array} { l } { 3 \cdot 156 \times 10 ^ { 7 } } \\ { ( 3 \times 10 ^ { 4 } ) ^ { 2 } } \\ { 1.5 \times 10 ^ { 11 } } \end{array} \right.
Sort
900000000,4680000000,150000000000
Evaluate
4680000000,\ 900000000,\ 150000000000
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sort(468\times 10^{7},\left(3\times 10^{4}\right)^{2},1.5\times 10^{11})
Multiply 3 and 156 to get 468.
sort(468\times 10000000,\left(3\times 10^{4}\right)^{2},1.5\times 10^{11})
Calculate 10 to the power of 7 and get 10000000.
sort(4680000000,\left(3\times 10^{4}\right)^{2},1.5\times 10^{11})
Multiply 468 and 10000000 to get 4680000000.
sort(4680000000,\left(3\times 10000\right)^{2},1.5\times 10^{11})
Calculate 10 to the power of 4 and get 10000.
sort(4680000000,30000^{2},1.5\times 10^{11})
Multiply 3 and 10000 to get 30000.
sort(4680000000,900000000,1.5\times 10^{11})
Calculate 30000 to the power of 2 and get 900000000.
sort(4680000000,900000000,1.5\times 100000000000)
Calculate 10 to the power of 11 and get 100000000000.
sort(4680000000,900000000,150000000000)
Multiply 1.5 and 100000000000 to get 150000000000.
4680000000
To sort the list, start from a single element 4680000000.
900000000,4680000000
Insert 900000000 to the appropriate location in the new list.
900000000,4680000000,150000000000
Insert 150000000000 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}