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Arithmetic
5 problems similar to:
8 \frac { 1 } { 10 } + 1 \frac { 6 } { 10 } = 9 \frac { 7 } { 10 }
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8\times 10+1+1\times 10+6=9\times 10+7
Multiply both sides of the equation by 10.
80+1+1\times 10+6=9\times 10+7
Multiply 8 and 10 to get 80.
81+1\times 10+6=9\times 10+7
Add 80 and 1 to get 81.
81+10+6=9\times 10+7
Multiply 1 and 10 to get 10.
91+6=9\times 10+7
Add 81 and 10 to get 91.
97=9\times 10+7
Add 91 and 6 to get 97.
97=90+7
Multiply 9 and 10 to get 90.
97=97
Add 90 and 7 to get 97.
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Compare 97 and 97.
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\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}