\left. \begin{array} { | c | } \hline 2005 \\ \hline 6.4 \times 10 ^ { 9 } \\ \hline 1.3 \times 10 ^ { 9 } \\ \hline 1.1 \times 10 ^ { 9 } \\ \hline 3.0 \times 10 ^ { 8 } \\ \hline \end{array} \right.
Sort
2005,300000000,1100000000,1300000000,6400000000
Evaluate
2005,\ 6400000000,\ 1300000000,\ 1100000000,\ 300000000
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sort(2005,6.4\times 1000000000,1.3\times 10^{9},1.1\times 10^{9},3\times 10^{8})
Calculate 10 to the power of 9 and get 1000000000.
sort(2005,6400000000,1.3\times 10^{9},1.1\times 10^{9},3\times 10^{8})
Multiply 6.4 and 1000000000 to get 6400000000.
sort(2005,6400000000,1.3\times 1000000000,1.1\times 10^{9},3\times 10^{8})
Calculate 10 to the power of 9 and get 1000000000.
sort(2005,6400000000,1300000000,1.1\times 10^{9},3\times 10^{8})
Multiply 1.3 and 1000000000 to get 1300000000.
sort(2005,6400000000,1300000000,1.1\times 1000000000,3\times 10^{8})
Calculate 10 to the power of 9 and get 1000000000.
sort(2005,6400000000,1300000000,1100000000,3\times 10^{8})
Multiply 1.1 and 1000000000 to get 1100000000.
sort(2005,6400000000,1300000000,1100000000,3\times 100000000)
Calculate 10 to the power of 8 and get 100000000.
sort(2005,6400000000,1300000000,1100000000,300000000)
Multiply 3 and 100000000 to get 300000000.
2005
To sort the list, start from a single element 2005.
2005,6400000000
Insert 6400000000 to the appropriate location in the new list.
2005,1300000000,6400000000
Insert 1300000000 to the appropriate location in the new list.
2005,1100000000,1300000000,6400000000
Insert 1100000000 to the appropriate location in the new list.
2005,300000000,1100000000,1300000000,6400000000
Insert 300000000 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}