Evaluate
\frac{101}{100}=1.01
Factor
\frac{101}{2 ^ {2} \cdot 5 ^ {2}} = 1\frac{1}{100} = 1.01
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10^{-2}\times 100+\frac{1}{10^{2}}
Rewrite 10^{5} as 10^{3}\times 10^{2}. Cancel out 10^{3} in both numerator and denominator.
\frac{1}{100}\times 100+\frac{1}{10^{2}}
Calculate 10 to the power of -2 and get \frac{1}{100}.
1+\frac{1}{10^{2}}
Multiply \frac{1}{100} and 100 to get 1.
1+\frac{1}{100}
Calculate 10 to the power of 2 and get 100.
\frac{101}{100}
Add 1 and \frac{1}{100} to get \frac{101}{100}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}